CN108399481A - Weapons Systems Effectiveness appraisal procedure based on combination weighting and evaluation method - Google Patents
Weapons Systems Effectiveness appraisal procedure based on combination weighting and evaluation method Download PDFInfo
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Abstract
The present invention provides a kind of Weapons Systems Effectiveness appraisal procedure and evaluation method based on combination weighting, including Weapons Systems Effectiveness evaluation index system is established and the determination of index value；Exponential scale analytic hierarchy process (AHP) determines the subjective weight of each index of index system；Entropy assessment and maximizing deviation method determine the objective weight of each index of index system, and are modified to the index more than index weights upper limit value；Using based on least square and opposite Entropy principle, subjective and objective weight is combined, indicator combination weight is obtained；Weighted sum method computing system comprehensive effectiveness value, obtains measures of effectiveness result.The part index number weight that the present invention avoids objective weighted model from being likely to occur is excessive, weight can objectively embody the importance degree of evaluation index, gained assessment result can fully consider the subjective desire and engineering experience of evaluator, reflect the objectivity of achievement data again simultaneously, obtained Effectiveness Evaluation result is more accurate.
Description
Technical field
The present invention relates to Weapons Systems Effectiveness evaluation areas, more particularly to a kind of Weapons Systems Effectiveness based on combination weighting
Appraisal procedure and weapon system evaluation method.
Background technology
With the fast development of information technology and the update of weaponry, the development thought of weaponry also completes
From weapon performance is paid attention to the transformation for paying attention to Weapons Systems Effectiveness.System effectiveness is the degree that weapon system completes assignment of mission degree
Amount, how objective, accurately assessment weaponry system effectiveness have become weapon development construction, Armament Demonstration and fortune of fighting
Important topic in and research direction.However in practical engineering application, there are respective defects for different appraisal procedures, are referring to
It is excessive that mark assigns that the upper analytic hierarchy process (AHP) of power depends on expert's subjective experience unduly, entropy assessment is likely to occur single index weights, leads to list
One index determines the case where final assessment result, and Weapons Systems Effectiveness assessment method therefor is single, and obtaining assessment result has
Certain one-sidedness could not preferably utilize the advantage of different appraisal procedures.
Invention content
For the defects in the prior art, the object of the present invention is to provide a kind of Weapons Systems Effectiveness based on combination weighting
Appraisal procedure.
The technical solution adopted in the present invention is to include the following steps：
Step 1：Weapons Systems Effectiveness evaluation index system is established and index value determines；
Step 2：Exponential scale analytic hierarchy process (AHP) parameter subjectivity weight；
Step 3：It is objective to correct index according to index upper limit value for entropy assessment and deviation maximization method parameter objective weight
Weight；
Step 4：Combining weights based on least square and relative entropy parameter；
Step 5：Weighted sum method computing system comprehensive effectiveness value.
Further, the exponential scale of index scales analytic hierarchy process divides the importance degree of index in the step 2
For 5 grades, respectively of equal importance, slightly important, apparent important, strong important, extremely important, adjacent two-stage is objective important
Sex rate k=1.316.
Further, the index objective weight in affiliated step 3 is both weights obtained by entropy assessment and deviation maximization method
Average value.
Further, the modified computational methods of index weights in the step 3 are：
If Weapons Systems Effectiveness evaluation index system has m evaluation index, the upper limit value of single evaluation index weight is a,
As index objective weight ω2jWhen ＞ a, it is a, i.e., revised index weights to take the index weightsPortion more than a
Divide and is then prorated in remaining index less than a by following formula：
In formula：ω2iWithTo correct front and back each index objective weight.If the weight of index occurs being more than a feelings after correcting
Condition, the then part for being more than a are still proportionately distributed to remainder less than a indexs by above formula.
Further, objective weight upper limit value value Main Basiss exponential scale analytic hierarchy process (AHP) in the step 3
Weight calculation is as a result, simultaneously incorporation engineering practical experience determines.
Further, form of the step 4 based on the combining weights optimal solution obtained by least square is：ωj=k1ω1j
+k2ω2j, and have k1+k2=1, weight coefficient k1、k2It is acquired by opposite Entropy principle, steps are as follows for calculating：
1) optimal solution of relative entropy mathematical programming problem is calculatedWherein
In formula：ω1jAnd ω2jRespectively each index subjectivity and objective weight；
2) parameter subjectivity weights omega1, objective weight ω2With assembly weight d*Between relative entropy：
3) weight coefficient of each indicator combination weight of parameter system:
The present invention provides a kind of weapon system evaluation method, is commented according to the Weapons Systems Effectiveness based on combination weighting
The weapon system comprehensive effectiveness that the method for estimating obtains is evaluating weapon system superiority-inferiority.
Compared with prior art, the present invention has following advantageous effect：
The Weapons Systems Effectiveness appraisal procedure based on combination weighting that the present invention provides a kind of, to solve Weapons Systems Effectiveness
In evaluation process, analytic hierarchy process (AHP) depends on expert's subjective experience unduly on Index Weights, entropy assessment is likely to occur single index
Weight is excessive, causes single index to determine final assessment result, and use single method in appraisal procedure, obtains result tool
There is the problem of certain one-sidedness.
The advantage of the invention is that the phenomenon that can effectively avoid index weights excessive when improved objective weight, weight energy
Enough importance degrees for embodying each evaluation index of weapon system well, final gained assessment result can fully consider evaluator
Subjective desire and engineering experience, while reflecting the objectivity of achievement data again, obtained Effectiveness Evaluation result
It is more accurate, can meet the needs of different weapons change system measures of effectiveness.
Description of the drawings
Upon reading the detailed description of non-limiting embodiments with reference to the following drawings, other feature of the invention,
Objects and advantages will become more apparent upon：
Fig. 1 is the engineer application flow of the Weapons Systems Effectiveness appraisal procedure based on combination weighting of the embodiment of the present invention
Figure.
Specific implementation mode
With reference to specific embodiment, the present invention is described in detail.Following embodiment will be helpful to the technology of this field
Personnel further understand the present invention, but the invention is not limited in any way.It should be pointed out that the ordinary skill of this field
For personnel, without departing from the inventive concept of the premise, several changes and improvements can also be made.These belong to the present invention
Protection domain.
As shown in Figure 1, the present invention provides a kind of Weapons Systems Effectiveness appraisal procedure based on combination weighting, including：
Step 1：It is required according to assessment object and assessment and purpose is established independent, complete Weapons Systems Effectiveness assessment and referred to
Mark system determines each index value of index system and carries out standardization processing to it；
Step 2：The subjective weight of each index is calculated using exponential scale analytic hierarchy process (AHP).Using exponential scale to same layer
The importance of each index is compared two-by-two in secondary, constructs weight judgment matrix；Solve the maximum eigenvalue of judgment matrix and right
The feature vector answered, and consistency check is carried out, if being unsatisfactory for coherence request, judgment matrix is changed, until meeting consistent
Property examination requirements；Normalization characteristic vector, obtains the subjective weights omega of evaluation index1；
Step 3：Using entropy assessment and deviation maximization method parameter objective weight, index visitor is corrected according to upper limit value
See weight.Calculating process is as follows：
1) to m evaluation index primary data matrix X={ x of n sample objectij}n×m, using linear-scale converter technique
Standardization processing is carried out, Standard Process R={ r are obtainedij}n×m；
2) the index value proportion of i-th of assessment object under jth item index is calculated：
3) entropy of jth item index is calculated：
4) weight obtained by each index entropy assessment is calculated：
5) deviation of jth item index is calculated：
6) weight obtained by jth item index deviation maximization method is calculated：
7) jth item index weights are calculated：
8) jth item index objective weight is calculated：ω2j=(ω '2j+ω″2j)/2；
9) according to the weight calculation result ω of exponential scale analytic hierarchy process (AHP)1, incorporation engineering practical experience determines in index
Limit value a, when the weight of single index is more than a, it is a, i.e., revised index weights to take the index weightsGreatly
It is then prorated to by following formula in remaining index less than a in the part of a：
In formula：ω2iWithTo correct the preceding objective weight with each index after amendment.If the weight of index still goes out after correcting
Now it is more than a situations, then part of the index more than a is still proportionately distributed to by above formula remaining less than a indexs.
Step 4：Using the combining weights based on least square and opposite Entropy principle parameter.With combining weights and master
The minimum target of sum of square of deviations of objective weight is combined tax power, establishes the Optimized model based on the principle of least square：
Wherein：ωjFor combining weights, k1、k2Based on, the weight coefficient of Objective Weighting, and k1+k2=1.It is bright to construct glug
Day function, there are optimal solution ω for functionj=k1ω1j+k2ω2j, weight coefficient is by relative entropy principle solving, and specific calculating process is such as
Under：
1) with subjective and objective weights omega1、ω2With assembly weight d=(d1,d2,...,dm) approach degree be up to target, establish
Following mathematical programming problem：
2) optimal solution of relative entropy mathematical programming problem is solvedWherein
ω in formula1jAnd ω2jThe subjectivity and objective weight of respectively each index；
3) parameter subjectivity weights omega1, objective weight ω2With assembly weight d*Between relative entropy：
4) weight coefficient of each indicator combination weight of parameter system:
Step 5：Using weighted sum methodComputing system comprehensive effectiveness value, obtains Weapons Systems Effectiveness and comments
Estimate result.
Specific embodiments of the present invention are described above.It is to be appreciated that the invention is not limited in above-mentioned
Particular implementation, those skilled in the art can make a variety of changes or change within the scope of the claims, this not shadow
Ring the substantive content of the present invention.In the absence of conflict, the feature in embodiments herein and embodiment can arbitrary phase
Mutually combination.
Claims (7)
1. a kind of Weapons Systems Effectiveness appraisal procedure based on combination weighting, which is characterized in that include the following steps：
Step 1：Weapons Systems Effectiveness evaluation index system is established, determines the index value of index；
Step 2：Parameter subjectivity weight；
Step 3：Parameter objective weight corrects index objective weight according to index weights upper limit value；
Step 4：According to index subjectivity weight, objective weight, the combining weights of parameter；
Step 5：According to the combining weights of index, weapon system comprehensive effectiveness value is calculated.
2. the Weapons Systems Effectiveness appraisal procedure based on combination weighting as described in claim 1, which is characterized in that the step
In 2, the importance degree of index is divided into 5 grades, it is respectively of equal importance, slightly important, apparent it is important, it is strong it is important,
It is extremely important, the adjacent objective importance ratio k=1.316 of two-stage.
3. the Weapons Systems Effectiveness appraisal procedure based on combination weighting as described in claim 1, which is characterized in that the step
Index objective weight in 3 is the average value of both weights obtained by entropy assessment and deviation maximization method.
4. the Weapons Systems Effectiveness appraisal procedure based on combination weighting as described in claim 1, which is characterized in that the step
The modified computational methods of index weights in 3 are：
If Weapons Systems Effectiveness evaluation index system has m evaluation index, the upper limit value of single evaluation index weight is a, works as jth
A index objective weight ω2jWhen ＞ a, it is a, i.e., revised j-th of index weights to take the index weightsIt is more than
The part of a is then prorated to by following formula in remaining index less than a：
I, j=1,2 ..., m
In formula：ω2i、Respectively correct forward and backward i-th of index objective weight；If the weight of index occurs being more than a after correcting
The case where, then the part for being more than a is still proportionately distributed to the remaining index for being less than a by above formula.
5. the Weapons Systems Effectiveness appraisal procedure based on combination weighting as described in claim 1, which is characterized in that the step
The weight calculation of objective weight upper limit value value Main Basiss exponential scale analytic hierarchy process (AHP) in 3 is as a result, simultaneously incorporation engineering is real
Border is empirically determined.
6. the Weapons Systems Effectiveness appraisal procedure based on combination weighting as described in claim 1, which is characterized in that the step
The combining weights ω of index is obtained based on least square in 4jThe form of optimal solution is：ωj=k1ω1j+k2ω2j, and k1+k2=
1；ω1,jIndicate the subjective weight of j-th of index, ω2jIndicate the objective weight of j-th of index；Weight coefficient k1, k2By relative entropy
Principle acquires, and steps are as follows for calculating：
1) optimal solution of relative entropy mathematical programming problem is calculatedWherein
In formula：ω1j、ω2jRespectively j-th of index subjectivity weight and objective weight；
2) parameter subjectivity weights omega1, objective weight ω2With assembly weight d*Between relative entropy：
P=1,2
3) weight coefficient of each indicator combination weight of parameter system
P=1,2.
7. a kind of weapon system evaluation method, which is characterized in that according to any one of claim 1 to 6 based on combination weighting
The weapon system comprehensive effectiveness value that Weapons Systems Effectiveness appraisal procedure obtains evaluates weapon system superiority-inferiority.
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Cited By (8)
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| CN109189831A (en) * | 2018-08-21 | 2019-01-11 | 重庆邮电大学 | A kind of purchase vehicle tendency user identification method based on combination weighting |
| CN109376980A (en) * | 2018-08-29 | 2019-02-22 | 上海机电工程研究所 | The Performance Evaluation index system construction method and system of three-dimensional time-varying |
| CN110490422A (en) * | 2019-07-22 | 2019-11-22 | 中北大学 | A kind of target fighting efficiency method for situation assessment based on game cloud model |
| CN110717691A (en) * | 2019-10-23 | 2020-01-21 | 上海机电工程研究所 | Assembly method and system of evaluation model based on components |
| CN111260239A (en) * | 2020-01-22 | 2020-06-09 | 长春工程学院 | Active power distribution network risk assessment real-time assessment method considering distributed energy |
| CN112257979A (en) * | 2020-09-17 | 2021-01-22 | 中国航天标准化研究所 | Domestic electronic device application effect evaluation method based on index system architecture |
| CN112633611A (en) * | 2021-01-07 | 2021-04-09 | 中海石油(中国)有限公司 | Submarine cable state maintenance strategy optimization method and system based on big data analysis |
| CN113743811A (en) * | 2021-09-10 | 2021-12-03 | 上海卫星工程研究所 | Comprehensive efficiency evaluation method and system adopting coefficient weighting calculation |
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- 2018-01-15 CN CN201810036593.5A patent/CN108399481A/en active Pending
Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109189831A (en) * | 2018-08-21 | 2019-01-11 | 重庆邮电大学 | A kind of purchase vehicle tendency user identification method based on combination weighting |
| CN109376980A (en) * | 2018-08-29 | 2019-02-22 | 上海机电工程研究所 | The Performance Evaluation index system construction method and system of three-dimensional time-varying |
| CN109376980B (en) * | 2018-08-29 | 2021-07-30 | 上海机电工程研究所 | Three-dimensional time-varying performance evaluation index system construction method and system |
| CN110490422A (en) * | 2019-07-22 | 2019-11-22 | 中北大学 | A kind of target fighting efficiency method for situation assessment based on game cloud model |
| CN110717691A (en) * | 2019-10-23 | 2020-01-21 | 上海机电工程研究所 | Assembly method and system of evaluation model based on components |
| CN110717691B (en) * | 2019-10-23 | 2023-11-28 | 上海机电工程研究所 | Assembly method and system for evaluation model based on components |
| CN111260239A (en) * | 2020-01-22 | 2020-06-09 | 长春工程学院 | Active power distribution network risk assessment real-time assessment method considering distributed energy |
| CN111260239B (en) * | 2020-01-22 | 2022-06-28 | 长春工程学院 | Active power distribution network risk assessment real-time assessment method considering distributed energy |
| CN112257979A (en) * | 2020-09-17 | 2021-01-22 | 中国航天标准化研究所 | Domestic electronic device application effect evaluation method based on index system architecture |
| CN112633611A (en) * | 2021-01-07 | 2021-04-09 | 中海石油(中国)有限公司 | Submarine cable state maintenance strategy optimization method and system based on big data analysis |
| CN113743811A (en) * | 2021-09-10 | 2021-12-03 | 上海卫星工程研究所 | Comprehensive efficiency evaluation method and system adopting coefficient weighting calculation |
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Application publication date: 20180814 |