CN108073748A - A kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method - Google Patents

A kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method Download PDF

Info

Publication number
CN108073748A
CN108073748A CN201611033595.6A CN201611033595A CN108073748A CN 108073748 A CN108073748 A CN 108073748A CN 201611033595 A CN201611033595 A CN 201611033595A CN 108073748 A CN108073748 A CN 108073748A
Authority
CN
China
Prior art keywords
mrow
msub
msup
mtd
intuitionistic fuzzy
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201611033595.6A
Other languages
Chinese (zh)
Inventor
丁勇
张承果
申兴盼
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Nanjing University of Aeronautics and Astronautics
Original Assignee
Nanjing University of Aeronautics and Astronautics
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Nanjing University of Aeronautics and Astronautics filed Critical Nanjing University of Aeronautics and Astronautics
Priority to CN201611033595.6A priority Critical patent/CN108073748A/en
Publication of CN108073748A publication Critical patent/CN108073748A/en
Pending legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N7/00—Computing arrangements based on specific mathematical models
    • G06N7/02—Computing arrangements based on specific mathematical models using fuzzy logic
    • G06N7/06—Simulation on general purpose computers

Landscapes

  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Evolutionary Computation (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • General Health & Medical Sciences (AREA)
  • Algebra (AREA)
  • Artificial Intelligence (AREA)
  • Health & Medical Sciences (AREA)
  • Data Mining & Analysis (AREA)
  • Fuzzy Systems (AREA)
  • Biomedical Technology (AREA)
  • Molecular Biology (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computing Systems (AREA)
  • Automation & Control Theory (AREA)
  • Mathematical Physics (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Computer Hardware Design (AREA)
  • Geometry (AREA)
  • Organic Low-Molecular-Weight Compounds And Preparation Thereof (AREA)

Abstract

The invention discloses a kind of guided missile damage effects group decision appraisal procedures based on intuitionistic fuzzy entropy weight method, the method establishes incomplete target Damage decision matrix by Intuitionistic Fuzzy Numbers first, Similarity Class is defined based on Intuitionistic fuzzy similarity degree, using similar matroid with location information integration realization to the supplement of garbled information；Then a kind of new Intuitionistic Fuzzy Entropy is proposed, decision-making Weight of Expert coefficient is drawn with reference to intuitionistic fuzzy Strengthening operator and intuitionistic fuzzy entropy weight method so that weights have more rational skewed popularity；The synthesis that each type of missile is finally acquired using group decision intuitionistic fuzzy weighted average operator injures property value, the guided missile model for possessing optimal damage effects is selected by comparing the comprehensive score value for injuring property value and precision functions value so that decision-making more science.This method mainly solves damage effects evaluation problem of the guided missile in uncertain information environment.

Description

A kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method
Technical field
The invention belongs to guided missile damage effects assessment technology fields, particularly a kind of guided missile based on intuitionistic fuzzy entropy weight method Damage effects group decision appraisal procedure.
Background technology
The assessment of guided missile damage effects refers to understand the actual Damage Fire effect of guided missile attack action, analyzes the purpose of operation A kind of judge activity of realization degree.Actually fight in, due to battlefield surroundings complexity and obtain battle field information not really It is qualitative, cause the acquisition of damage effects assessment information there are certain fuzzy uncertainty or even there are excalations.Therefore, Using the appraisal procedure that can effectively handle fuzzy, incomplete information, it is objective that science is carried out to various missile fire strike effect Assessment can provide correct decision-making foundation for effectively strike unfriendly target.
Multi-attribute group decision making is current military, social engineering technical field common problem, and research object is objective to deposit More ATTRIBUTE INDEXs and obtain the key point that information uncertainty is group decision problem.Atanassov is expanded within 1986 The fuzzy set (Fuzzy Sets, FS) that Zadeh is established in nineteen sixty-five is theoretical, it is proposed that intuitionistic Fuzzy Sets The concept of (Intuitionistic Fuzzy Sets, IFS), it can portray probabilistic of things finer and smoothlyer Matter, and multi-attribute group decision making problem can be efficiently solved.
Guided missile damage effects evaluation problem can transform into a multi-attribute group decision making problem, be assessed by each expert Damage effects indication information is obtained, and establishes the multi-attribute group decision making assessment mathematical model of polytypic guided missile, using intuitionistic fuzzy Operator acquires the intuitionistic fuzzy weighted attribute values of each guided missile model, and the scoring function and precision functions for comparing property value obtain Optimal damage effects guided missile model.Wherein, due to the skewed popularity of each expert and the uncertainty of information so that determine expert's Decision weights become the critical problem in the assessment of guided missile intuitionistic fuzzy damage effects.
At present, there are mainly three types of intuitionistic fuzzy Multiple Attribute Group Decisions：(1) it is subjective directly to assign power, according to decision-making expert Influence power and getting sth into one's head for policymaker directly take each policymaker's weight, then in conjunction with intuitionistic fuzzy operator and intuitionistic fuzzy Decision matrix obtains the result of decision.(2) analytic hierarchy process (AHP) asks for weight, compares the relative importance between expert by subjectivity, The analysis of hierarchy draws the weight coefficient of each policymaker, is obtained then in conjunction with intuitionistic fuzzy operator and Intuitionistic Fuzzy Decision matrix To the result of decision.(3) intuitionistic fuzzy entropy weight method determines policymaker's weight, and information content size is obtained according to the Intuitionistic Fuzzy Entropy of definition Judging basis, corresponding policymaker's weight is measured according to entropy, then in conjunction with intuitionistic fuzzy operator and Intuitionistic Fuzzy Decision square Battle array obtains the result of decision.
However, in existing intuitionistic fuzzy Multiple Attribute Group Decision there are it is respective the defects of and place to be modified. First method too gets sth into one's head, and it is one sided that policymaker's weight is directly taken only according to the influence power of policymaker and expert, is led Causing assessment result, there are serious subjectivities；Second method is more objective compared with the first, according between policymaker Relative importance relatively draws policymaker's weight, but does not avoid the influence of subjectivity, the assessment result that this method obtains Also there are more serious subjectivities；The third method is better than first two method, it is according to the decision information of policymaker's objective reality Uncertainty obtain the entropy amount of policymaker, policymaker's weight is determined according to entropy amount size so that the result of decision avoids subjectivity Property the problem of, but the definition of wherein Intuitionistic Fuzzy Entropy be the key point of this method, it is necessary to define one it is rationally innovative High Intuitionistic Fuzzy Entropy can just obtain more rational policymaker's weight coefficient.In addition, the incompleteness of Intuitionistic Fuzzy Groups decision information Information Problems are also the necessary problem for needing to solve at present.
Therefore, existing Intuitionistic Fuzzy Decision-making Approach cannot obtain scientific and reasonable policymaker's weight coefficient, can not The more scientific and reasonable guided missile damage effects Intuitionistic Fuzzy Groups Decision Evaluation solved the problems, such as under incomplete intuitionistic fuzzy information condition.
The content of the invention
It is an object of the invention to provide one kind to be based on intuitionistic fuzzy entropy weight method (Intuitionistic Fuzzy Entropy Weight Method, IFEWM) guided missile damage effects group decision appraisal procedure, this method can solve effectively Guided missile damage effects evaluation problem under uncertain environment.
To achieve the above object, the present invention uses following technical scheme：
Guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method, including：
The first step determines intuitionistic fuzzy incompleteness group decision matrix Rt m×n；
Second step, by the decision matrix information similarity θ for calculating each policymakerts, between comparator matrix similarity with Similarity threshold λ sizes determine the Similarity Class of each matrix, further according to the intuition mould of Similarity Class corresponding position information supplement incompleteness Paste information；
3rd step is calculated by IFWA operatorsAnd then obtain intuition mould of each single policymaker to various type of missile Paste weighted attribute values vector
4th step, the intuitionistic fuzzy that each policymaker is obtained by intuitionistic fuzzy Strengthening operator strengthen matrixUsing straight Feel that Based on Entropy method calculates each policymaker's weighted valueIFWA Operator Fusion policymaker is utilized according to each policymaker's weighted value Intuitionistic fuzzy property value obtains the intuitionistic fuzzy synthesized attribute value of various type of missile
5th step calculates the scoring function of intuitionistic fuzzy synthesized attribute valueAnd precision functionsComparison score Function and precision functions size obtain the optimal guided missile model of damage effects.
The present invention has the following advantages：
1. solves the supplementary question of incomplete intuitionistic fuzzy information using the concept of Intuitionistic fuzzy similarity degree.
2. the damage effects assessment result that the decision information of each expert decision-making person of synthesis obtains is more in line with single human expert The comprehensive assessment situation of policymaker, avoid single decision-making expert single specialty background and it is personal lay particular stress on it is unilateral caused by property The generation of damage effects assessment result.
3. combine Strengthening operator and intuitionistic fuzzy entropy weight method, obtain lay particular stress on property stronger entropic coefficient, and then avoid by The subjectivity of assessment result caused by policymaker's weight subjectivity, has obtained a more accurate assessment result.
Description of the drawings
Fig. 1 is the flow chart of the method for the present invention.
Fig. 2 assesses comparative result for intuitionistic fuzzy group decision and single policymaker.
Fig. 3 is intuitionistic fuzzy entropy weight method group decision and waits weights intuitionistic fuzzy group decision scoring function comparative result.
Specific embodiment
With reference to attached chart, technical solution of the present invention is illustrated.
The present invention a kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method, specifically include with Lower step：
It is A that step 1, which sets m kinds type of missile,i(i=1,2 ..., m), (t=1 2 ..., k) is led policymaker t for i types Play AiOn damage effects factor Gj(j=1,2 ..., superiority-inferiority degree of membership n) and non-affiliated degree carry out measurement evaluation, obtain Guided missile AiOn damage effects factor GjIntuitionistic Fuzzy NumbersObtain Intuitionistic Fuzzy Decision matrixFor：
Wherein, (Null)ij tRepresent that decision-making expert t fails to provide or loses guided missile AiOn damage effects factor GjIt is straight Feel fuzzy decision information.
Step 2 determines the Intuitionistic Fuzzy Decision information (Null) of decision-making expert t missingsij t, intuitionistic Fuzzy Sets A1And A2Between Standard Hamming distance from for：
A1And A2Similarity measure is：
It is λ (λ ∈ (0,1)) to set similarity relation threshold value, and policymaker t and other policymaker are calculated using formula (1) and (2) The similarity of decision matrix calculates the similarity θ of expert t and other expert s using public non-rest position informationts, meet θtsThe R of ＞ λsForm RtSimilarity Class, the intuitionistic fuzzy information of Similarity Class correspondence position is subjected to average value, it is straight with what is obtained Feel fuzzy message average valueTo corresponding incomplete fuzzy message, supplemented, you can obtain the R of information completelyt。
Step 3 calculates the guided missile weighted attribute values vector of t expertIf damage effects factor weights are wj(j=1, 2 ..., n),For：
K policymaker can be obtained using formula (3), attribute vector is weighted to m kind type of missile damage effects intuitionistic fuzzy For：
Step 4 asks for intuitionistic fuzzy synthesized attribute valueTo Intuitionistic Fuzzy Decision matrix Rt(μij, vij)m×n(t=1, 2 ..., k) strengthened, obtain intuitionistic fuzzy and strengthen matrix be：
Wherein,
Defining t-th of policymaker's Intuitionistic Fuzzy Entropy is：
The weight of k policymaker can be obtained using formula (7), then t-th of policymaker's weight is：
According to above-mentioned policymaker's weightM kind type of missile is worth to formula (8) fusion policymaker's intuitionistic fuzzy attribute Intuitionistic fuzzy synthesized attribute value is：
Step 5 calculates scoring function using formula (9) and formula (10)And precision functionsIf formula (9) obtainsValue is bigger, then guided missile AiDamage effects it is better；IfIdentical, then comparison expression (10), obtainedValue is got over Greatly, then guided missile damage effects are more outstanding.
Further detailed description is done to the present invention with reference to embodiment.
Existing A1, A2, A3, A4, A5The guided missile of five kinds of models is available, selects guided missile mainly to influence the weight of damage effects Factor is wanted to select guided missile Anti-jamming effectiveness G here as evaluation index1, guided missile strike cost performance efficiency G2, guided missile is to target Hong quick-fried efficiency G3, guided missile cruise efficiency G4, guided missile stealthy effectiveness G5Five indexs are as the damage effects factor.Existing 4 experiences are rich Rich expert injures the understanding of missile performance and existing guided missile using them the historical data of target, to each guided missile Five damage indexes give a mark, as shown in 1~table of table 4：
According to step 2, similarity threshold λ=0.7 is set, and similarity, which is obtained, is：
θ12=0.7628, θ13=0.7391, θ14=0.6832；θ21=0.7628, θ23=0.7589, θ24=0.7674
Show that the Similarity Class of policymaker 1 is 2 and 3 by similarity θ ＞ 0.7, the Similarity Class of policymaker 2 is 1,3 and 4.With certainly Plan person 1 and 2, the Null values being worth in table 1 that are averaged of 3 corresponding position intuitionistic fuzzy information are (0.3,0.1), with policymaker 2 The Null values that are worth in table 2 of being averaged with 1,3,4 corresponding position intuitionistic fuzzy information are (0.4333,0.1666).
According to step 3, take and injure factor attribute weights as [0.2,0.15,0.4,0.15,0.1], calculate each decision-making Person's intuitionistic fuzzy weighted attribute values are：
According to step 4, the weight for calculating each policymaker isCalculating is ruined Hindering efficiency intuitionistic fuzzy synthesized attribute value is：
According to step 5, calculating scoring function isGuided missile is injured Efficiency model is ranked up, i.e., is finally ordered as A3＞ A1＞ A5＞ A2＞ A4。
In order to which the group decision appraisal procedure for verifying the intuitionistic fuzzy entropy weight method (IFEWM) of the present invention is commented in guided missile damage effects The advantages of estimating and feasibility select group decision assessment result to be compared with single policymaker's assessment result；In order to verify intuition Intuitionistic fuzzy assessment algorithm (the Equal Weight of the weights such as the advantage of Based on Entropy method and conventional method, selection Intuitionistic Fuzzy Method, EWIFM) compare therewith.
Fig. 2 assesses comparative result for intuitionistic fuzzy group decision and single policymaker.It is given as seen from the table by policymaker 1,3,4 The assessment result gone out is all A3Type of missile is optimal for damage effects, with this paper intuitionistic fuzzy group decision-making algorithms assessment result one It causes, illustrates this paper group decisions the result is that rational.The assessment result of policymaker 2 occur with this paper group decision-making algorithms it is inconsistent, This is because result caused by the difference of the specialty background of individual expert policymaker and personal weighting property.
Fig. 3 is the group decision of intuitionistic fuzzy entropy weight and waits weights intuitionistic fuzzy group decision scoring function comparative result.From figure It is known that INT Strengthening operators and intuitionistic fuzzy entropy weight method generate significant impact to Intuitionistic Fuzzy Decision result, decision-making is inclined Principal characteristic enhances, and the result of decision is made more to have accuracy.It avoids since the scoring function of each policymaker gets too close to cause Assessment result blurring, obtained a more accurate assessment result.
In conclusion the guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method of the present invention passes through structure Uncertain group decision damage effects decision model is built, is realized using Similarity Class information integration and incomplete intuitionistic fuzzy information is mended It fills, with reference to INT operators and intuitionistic fuzzy entropy weight method, the unilateral weighting of assessment result caused by avoiding single policymaker's limitation Problem.Therefore, the group decision appraisal procedure proposed by the invention based on intuitionistic fuzzy entropy weight method is more suitable for uncertain environment In guided missile damage effects assessment.

Claims (6)

1. a kind of group decision appraisal procedure based on intuitionistic fuzzy entropy weight method, which is characterized in that comprise the following steps：
The first step determines incompleteness guided missile damage effects Intuitionistic Fuzzy Groups decision matrix；
Second step, by calculating the decision matrix information similarity of each policymaker, similarity and similarity between comparator matrix Threshold size determines the Similarity Class of each matrix, further according to the intuitionistic fuzzy information of Similarity Class corresponding position information supplement incompleteness；
3rd step calculates each single policymaker by IFWA operators and the damage effects intuitionistic fuzzy of various type of missile is weighted Property value vector；
4th step, the intuitionistic fuzzy that each policymaker is obtained by intuitionistic fuzzy Strengthening operator strengthen matrix, utilize intuitionistic fuzzy Entropy assessment calculates each policymaker's weighted value, and IFWA Operator Fusion policymaker's intuitionistic fuzzies are utilized according to each policymaker's weighted value Attribute is worth to the intuitionistic fuzzy synthesized attribute value of various type of missile；
5th step calculates the scoring function and precision functions of intuitionistic fuzzy synthesized attribute value, Comparison score function and accuracy Function size obtains the optimal guided missile model of damage effects.
2. the group decision appraisal procedure as described in claim 1 based on intuitionistic fuzzy entropy weight method, which is characterized in that the step Incomplete guided missile damage effects Intuitionistic Fuzzy Groups decision matrix in one is：
<mrow> <msup> <mi>R</mi> <mi>t</mi> </msup> <mo>=</mo> <mfenced open = '[' close = ']'> <mtable> <mtr> <mtd> <mrow> <mo>(</mo> <msubsup> <mi>&amp;mu;</mi> <mn>11</mn> <mi>t</mi> </msubsup> <mo>,</mo> <msubsup> <mi>v</mi> <mn>11</mn> <mi>t</mi> </msubsup> <mo>)</mo> </mrow> </mtd> <mtd> <mo>...</mo> </mtd> <mtd> <mo>...</mo> </mtd> <mtd> <mrow> <mo>(</mo> <msubsup> <mi>&amp;mu;</mi> <mrow> <mn>1</mn> <mi>n</mi> </mrow> <mi>t</mi> </msubsup> <mo>,</mo> <msubsup> <mi>v</mi> <mrow> <mn>1</mn> <mi>n</mi> </mrow> <mi>t</mi> </msubsup> <mo>)</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mo>...</mo> </mtd> <mtd> <mrow> <msup> <msub> <mrow> <mo>(</mo> <mi>N</mi> <mi>u</mi> <mi>l</mi> <mi>l</mi> <mo>)</mo> </mrow> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> </mrow> </mtd> <mtd> <mrow></mrow> </mtd> <mtd> <mo>...</mo> </mtd> </mtr> <mtr> <mtd> <mrow></mrow> </mtd> <mtd> <mo>...</mo> </mtd> <mtd> <mrow></mrow> </mtd> <mtd> <mo>...</mo> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>(</mo> <msubsup> <mi>&amp;mu;</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> <mi>t</mi> </msubsup> <mo>,</mo> <msubsup> <mi>v</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> <mi>t</mi> </msubsup> <mo>)</mo> </mrow> </mtd> <mtd> <mo>...</mo> </mtd> <mtd> <mo>...</mo> </mtd> <mtd> <mrow> <mo>(</mo> <msubsup> <mi>&amp;mu;</mi> <mrow> <mi>m</mi> <mi>n</mi> </mrow> <mi>t</mi> </msubsup> <mo>,</mo> <msubsup> <mi>v</mi> <mrow> <mi>m</mi> <mi>n</mi> </mrow> <mi>t</mi> </msubsup> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
Wherein, (Null)ij tFor incomplete fuzzy message, i ∈ M, j ∈ N, t ∈ K, M={ 1,2..., m }, N={ 1,2..., n }, K ={ 1,2..., k }.
3. as described in claim 1, the group decision appraisal procedure based on intuitionistic fuzzy entropy weight method, which is characterized in that described Incomplete intuitionistic fuzzy information supplement method in step 2, is specifically, utilizes similarity measure Calculate intuitionistic Fuzzy Sets A1And A2Similarity, wherein, d (A1, A2) it is A1And A2Between standard Hamming distance from,For A2 Supplementary set；Similarity relation threshold value λ (λ ∈ (0,1)) is set, it is special with other to calculate expert t using public non-rest position information The similarity θ of family sts, meet θtsThe R of ＞ λsForm RtSimilarity Class；The intuitionistic fuzzy information of Similarity Class correspondence position is carried out Average value supplements corresponding incomplete fuzzy message row with obtained intuitionistic fuzzy information average value, you can it is complete to obtain information Whole Rt。
4. as described in claim 1, the group decision appraisal procedure based on intuitionistic fuzzy entropy weight method, which is characterized in that institute It states the IFWA operators in step 3 and determines that each expert integrates weight vector to each type of missile intuitionistic fuzzy, be specifically, IFWA operators calculateFor：
<mrow> <msubsup> <mover> <mi>r</mi> <mo>~</mo> </mover> <mi>i</mi> <mi>t</mi> </msubsup> <mo>=</mo> <msub> <mi>IFWA</mi> <mi>w</mi> </msub> <mrow> <mo>(</mo> <msup> <msub> <mi>r</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mi>t</mi> </msup> <mo>,</mo> <msup> <msub> <mi>r</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mi>t</mi> </msup> <mo>,</mo> <mo>...</mo> <mo>,</mo> <msup> <msub> <mi>r</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <munderover> <mo>&amp;Pi;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msup> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <msup> <msub> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> </mrow> <mo>)</mo> </mrow> <msub> <mi>w</mi> <mi>j</mi> </msub> </msup> <mo>,</mo> <munderover> <mo>&amp;Pi;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msup> <mrow> <mo>(</mo> <mrow> <msup> <msub> <mi>v</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> </mrow> <mo>)</mo> </mrow> <msub> <mi>w</mi> <mi>j</mi> </msub> </msup> <mo>)</mo> </mrow> <mo>,</mo> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>;</mo> <mi>t</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow>
Wherein, wj∈ (0,1), j=1,2 ..., n are to injure factor weights.
5. as described in claim 1, the group decision appraisal procedure based on intuitionistic fuzzy entropy weight method, which is characterized in that institute The intuitionistic fuzzy stated in step 4 strengthens matrix, is specifically, using intuitionistic fuzzy Strengthening operator to Intuitionistic Fuzzy Decision matrix Rt (μij, vij)m×n(t=1,2 .., k) is strengthened, and is obtained intuitionistic fuzzy reinforcing matrix and is：
<mrow> <msubsup> <mi>R</mi> <mrow> <mi>I</mi> <mi>N</mi> <mi>T</mi> </mrow> <mi>t</mi> </msubsup> <mo>=</mo> <msub> <mrow> <mo>(</mo> <mo>(</mo> <mrow> <msub> <mi>&amp;mu;</mi> <mrow> <mi>I</mi> <mi>N</mi> <mi>T</mi> <mrow> <mo>(</mo> <msup> <mi>R</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>,</mo> <msub> <mi>v</mi> <mrow> <mi>I</mi> <mi>N</mi> <mi>T</mi> <mrow> <mo>(</mo> <msup> <mi>R</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mrow> <mi>m</mi> <mo>&amp;times;</mo> <mi>n</mi> </mrow> </msub> <mo>,</mo> <mrow> <mo>(</mo> <mi>t</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow>
Wherein, intuitionistic fuzzy Strengthening operator is
<mrow> <msub> <mi>&amp;mu;</mi> <mrow> <mi>I</mi> <mi>N</mi> <mi>T</mi> <mrow> <mo>(</mo> <msup> <mi>R</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <msup> <msub> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>,</mo> <mn>0</mn> <mo>&amp;le;</mo> <msup> <msub> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>&amp;le;</mo> <mn>0.5</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>1</mn> <mo>-</mo> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msup> <msub> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>,</mo> <mn>0.5</mn> <mo>&lt;</mo> <msup> <msub> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>&amp;le;</mo> <mn>1</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> <msub> <mi>v</mi> <mrow> <mi>I</mi> <mi>N</mi> <mi>T</mi> <mrow> <mo>(</mo> <msup> <mi>R</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mn>1</mn> <mo>-</mo> <mn>2</mn> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <msup> <msub> <mi>v</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>,</mo> <mn>0</mn> <mo>&amp;le;</mo> <msup> <msub> <mi>v</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>&amp;le;</mo> <mn>0.5</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>2</mn> <msup> <mrow> <mo>(</mo> <msup> <msub> <mi>v</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>,</mo> <mn>0.5</mn> <mo>&lt;</mo> <msup> <msub> <mi>v</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>t</mi> </msup> <mo>&amp;le;</mo> <mn>1</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
6. as described in claim 1, the group decision appraisal procedure based on intuitionistic fuzzy entropy weight method, which is characterized in that institute The Intuitionistic Fuzzy Entropy calculation formula stated in step 4 is as follows：
<mrow> <mi>E</mi> <mrow> <mo>(</mo> <mi>A</mi> <mo>)</mo> </mrow> <mo>=</mo> <mo>-</mo> <mfrac> <mn>1</mn> <mrow> <mi>n</mi> <mi>l</mi> <mi>n</mi> <mn>2</mn> </mrow> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mo>{</mo> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;mu;</mi> <mi>A</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;pi;</mi> <mi>A</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </mfrac> <mo>&amp;rsqb;</mo> <mi>l</mi> <mi>n</mi> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;mu;</mi> <mi>A</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;pi;</mi> <mi>A</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </mfrac> <mo>&amp;rsqb;</mo> <mo>+</mo> <mo>&amp;lsqb;</mo> <msub> <mi>v</mi> <mi>A</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;pi;</mi> <mi>A</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </mfrac> <mo>&amp;rsqb;</mo> <mi>l</mi> <mi>n</mi> <mo>&amp;lsqb;</mo> <msub> <mi>v</mi> <mi>A</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;pi;</mi> <mi>A</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </mfrac> <mo>&amp;rsqb;</mo> <mo>}</mo> </mrow>
Wherein, πA(x)=1- μA(x)-vA(x), x ∈ X represent that x belongs to the hesitation degree or uncertainty of intuitionistic Fuzzy Sets A.
CN201611033595.6A 2016-11-18 2016-11-18 A kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method Pending CN108073748A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201611033595.6A CN108073748A (en) 2016-11-18 2016-11-18 A kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201611033595.6A CN108073748A (en) 2016-11-18 2016-11-18 A kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method

Publications (1)

Publication Number Publication Date
CN108073748A true CN108073748A (en) 2018-05-25

Family

ID=62161349

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201611033595.6A Pending CN108073748A (en) 2016-11-18 2016-11-18 A kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method

Country Status (1)

Country Link
CN (1) CN108073748A (en)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110232518A (en) * 2019-06-11 2019-09-13 西北工业大学 A kind of intimidation estimating method based on three decisions
CN112784437A (en) * 2021-02-04 2021-05-11 中国人民解放军63863部队 System for evaluating damage efficiency of air-defense missile to helicopter target
CN114091942A (en) * 2021-11-26 2022-02-25 中国民用航空飞行学院 Airport fire station site selection method and device

Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH0480826A (en) * 1990-07-24 1992-03-13 Ube Ind Ltd Fuzzy inference system
CN1779409A (en) * 2005-09-20 2006-05-31 湖南文理学院 Method for computing damage effects of pre-set explosure bomb with proximity fuze to antiship missle
CN104812027A (en) * 2014-01-23 2015-07-29 北京邮电大学 Network selection method based on intuitionistic fuzzy set multi-attribute decision-making
CN104835073A (en) * 2015-05-08 2015-08-12 南京理工大学 Unmanned aerial vehicle control system operation performance evaluating method based on intuitionistic fuzzy entropy weight
CN105701150A (en) * 2015-12-29 2016-06-22 内蒙古大学 Intuitionistic fuzzy similarity degree based image retrieving method and system
CN105825310A (en) * 2016-04-11 2016-08-03 湖南科技大学 Taxi passenger-searching path recommendation method based on information entropy

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH0480826A (en) * 1990-07-24 1992-03-13 Ube Ind Ltd Fuzzy inference system
CN1779409A (en) * 2005-09-20 2006-05-31 湖南文理学院 Method for computing damage effects of pre-set explosure bomb with proximity fuze to antiship missle
CN104812027A (en) * 2014-01-23 2015-07-29 北京邮电大学 Network selection method based on intuitionistic fuzzy set multi-attribute decision-making
CN104835073A (en) * 2015-05-08 2015-08-12 南京理工大学 Unmanned aerial vehicle control system operation performance evaluating method based on intuitionistic fuzzy entropy weight
CN105701150A (en) * 2015-12-29 2016-06-22 内蒙古大学 Intuitionistic fuzzy similarity degree based image retrieving method and system
CN105825310A (en) * 2016-04-11 2016-08-03 湖南科技大学 Taxi passenger-searching path recommendation method based on information entropy

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
戚筱雯 等: "区间直觉模糊多属性群决策自收敛算法", 《系统工程与电子技术》 *
戚筱雯 等: "基于混合型评价矩阵的多属性群决策方法", 《系统工程理论与实践》 *

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110232518A (en) * 2019-06-11 2019-09-13 西北工业大学 A kind of intimidation estimating method based on three decisions
CN112784437A (en) * 2021-02-04 2021-05-11 中国人民解放军63863部队 System for evaluating damage efficiency of air-defense missile to helicopter target
CN112784437B (en) * 2021-02-04 2022-11-29 中国人民解放军63863部队 System for evaluating damage efficiency of air-defense missile to helicopter target
CN114091942A (en) * 2021-11-26 2022-02-25 中国民用航空飞行学院 Airport fire station site selection method and device

Similar Documents

Publication Publication Date Title
CN108108875A (en) A kind of distribution Running State fuzzy synthetic appraisement method based on cooperative game method and trapezoidal cloud model
CN107463094A (en) A kind of multiple no-manned plane air battle dynamic game method under uncertain information
CN107482626A (en) A kind of regional power grid key node recognition methods
CN108073748A (en) A kind of guided missile damage effects group decision appraisal procedure based on intuitionistic fuzzy entropy weight method
CN106056235A (en) Power transmission grid efficiency and benefit detection method based on Klee method and matter element extension model
CN110490422B (en) Target combat effectiveness situation assessment method based on game cloud model
CN106549826A (en) Intelligent substation switch applied in network performance test appraisal procedure
CN105740635A (en) Cloud ideal solution evaluation method for transformer electromagnetic design scheme
CN104268629A (en) Complex network community detecting method based on prior information and network inherent information
CN109670660A (en) A kind of fleet dynamic air defense threat estimating method based on intuitionistic fuzzy TOPSIS
CN108319776B (en) Simulation parameter selection decision method based on group generalized interval intuitive fuzzy soft set
CN104156801B (en) Teams and groups of company of city are to mark data handling system and data processing method
Cao et al. A feature selection based serial SVM ensemble classifier
CN109765332A (en) Transformer exception value real-time detection and method for diagnosing faults based on isolation forest
CN107169301A (en) One kind is divided and rule Data Association
CN107798454A (en) A kind of fleet group decision threat estimating method based on dynamic intuitionistic fuzzy method
CN106960288A (en) A kind of electric energy substitutes evaluation method and system
CN104835073A (en) Unmanned aerial vehicle control system operation performance evaluating method based on intuitionistic fuzzy entropy weight
CN109144986A (en) A kind of importance appraisal procedure of industrial equipment data
Wang et al. Mathematical programming methodology for multiattribute decision making using interval-valued intuitionistic fuzzy sets
CN110457776A (en) A kind of Test Strategy rapid generation based on failure decision networks
CN105976099A (en) Fuzzy information-based aerospace model scientific research and production management level evaluation method
CN111062509A (en) Wind power medium-short term prediction method and system based on improved neural network
CN109064578A (en) A kind of attendance system and method based on cloud service
CN110516750B (en) Steel plate shape quality abnormity detection method based on CART decision tree

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
WD01 Invention patent application deemed withdrawn after publication
WD01 Invention patent application deemed withdrawn after publication

Application publication date: 20180525