CN110348664A - A kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method - Google Patents
A kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method Download PDFInfo
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Abstract
The antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method that the invention discloses a kind of, includes the following steps: S1, establishes antiriot weapon System Combat Effectiveness evaluation index system;S2, normalized antiriot weapon System Combat Effectiveness evaluation index;S3, according to above-mentioned normalization operational effectiveness indices, draw antiriot weapon radar figure;S4, antiriot weapon System Combat Effectiveness comprehensive evaluation model is established.The present invention utilizes a kind of graphical evaluation method of multivariable for developing utilization based on similar pathfinder, the defect that existing method mathematical requirement is high, calculating process is complicated, evaluation result is not visual in image enough is well solved, and the graphically quantitative relation in expression evaluation between indices, visual pattern, evaluation procedure are simple, and realize overall merit.The present invention can be used for assessing other nonlethal weapon Combat Efficiency Evaluations, solve the assessment problem in combat efficiency of weapon system assessment.
Description
Technical field
The invention belongs to combat efficiency of weapon system assessment technology fields, and in particular to a kind of based on the anti-riot of radar map method
Combat efficiency of weapon system appraisal procedure.
Background technique
In complicated international environment and fierce regional conflict, terrorism is the main problem that international community faces.
Nonlethal weapon is international police force and army's reply most effective weapon of terrorism, this also promotes the hair of nonlethal weapon technology
Exhibition.Fuzzy synthetic appraisement method and power exponent and analytic hierarchy process (AHP) are specifically included that about the appraisal procedure of nonlethal weapon at present
It combines.These above-mentioned methods are primarily present two defects: 1) containing subjective factor in assessment result;2) assessment result cannot be straight
See the relative superior or inferior of reflection each single index of System Combat Effectiveness.
Radar map method is a kind of appraisal procedure of multiple attribute decision making (MADM).This method is easy to operate, and evaluation result is intuitive.Radar map
For method compared with above-mentioned appraisal procedure, it can either intuitively reflect the superiority and inferiority for being estimated object overall performance, and can provide and be estimated pair
As the quality of single index.For this purpose, it is proposed that a kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method,
To solve the problems, such as to mention in above-mentioned background technique.
Summary of the invention
The antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method that the purpose of the present invention is to provide a kind of, with
Solve the problems mentioned above in the background art.
To achieve the above object, the invention provides the following technical scheme: a kind of antiriot weapon system based on radar map method
Combat Efficiency Evaluation method, method includes the following steps:
S1, antiriot weapon System Combat Effectiveness evaluation index system is established;
S2, normalized antiriot weapon System Combat Effectiveness evaluation index;
S3, according to above-mentioned normalization operational effectiveness indices, draw antiriot weapon radar figure;
S4, antiriot weapon System Combat Effectiveness comprehensive evaluation model is established.
Preferably, in step sl, establishing antiriot weapon System Combat Effectiveness evaluation index system mainly includes antiriot bomb
Efficiency, antiriot weapon system reliability and anti-riot transmitter efficiency.Wherein, antiriot bomb efficiency mainly include single-shot, it is multiple (neat
Penetrate) disperse area, warhead equivalent, effective range and circular proable error.Antiriot weapon system reliability is mainly suitable including environment
It should be able to power, functional reliability and economy.Anti-riot transmitter efficiency mainly includes firing rate, vertical, horizontal emission ability, gross mass
And outer dimension.
Preferably, in step s 2, specifically include: in antiriot weapon system effectiveness index, profit evaluation model index has: single-shot
Disperse area As, salvo disperse area Am, effective range R, warhead equivalent T, Vertical Launch angle θc, horizontal emission angle θs, firing rate
vs, adaptive capacity to environment e, functional reliability k and economy cb.Cost type index: CEP, total weight M and outer dimension C.
Have for profit evaluation model index:
Similarly, have for cost type index
Wherein,Indicate the normative value of j-th of profit evaluation model index in i-th of antiriot weapon system to be evaluated;I meets
I=1,2 ..., m, m indicate m antiriot weapon systems to be evaluated;J meets j=1, and 2 ..., n, n indicate n single index.
Preferably, antiriot weapon radar figure is drawn, specifically according to normalization operational effectiveness indices in the step S3
Are as follows:
Firstly, drawing circle by the center of circle of O.The folder between equal part is obtained with number axis by circle equal part according to the quantity n of evaluation index
Angle are as follows:
α=2 π/n (3)
Then, the numerical value after each index normalization is demarcated on number axis:
Finally, connecting each adjacent index with straight line, the radar map that irregular polygon is antiriot weapon system is obtained, such as
Shown in Fig. 1.
Preferably, in step s 4, antiriot weapon System Combat Effectiveness comprehensive evaluation model is established, specifically: assuming that i-th
The radar area of pictural surface of a antiriot weapon system to be evaluated is Si, Zhou Changwei Li, then
Wherein, vijFor the value after j-th of single index standardization of i-th of antiriot weapon system to be evaluated;
Since the sequence of index arrangement is different, the area S of radari, perimeter LiIt may be not unique.In order to guarantee to assess
As a result uniqueness, the present invention are all sectorial areas, Zhou Changwei institute using the area and perimeter of radar map in Fig. 1, i.e. area
There is fan-shaped arc length.
Wherein,WithRespectively indicate the corresponding fan-shaped surface of j-th of single index of i-th of antiriot weapon system to be evaluated
Long-pending and fan-shaped arc length.
Further the index and measurement antiriot weapon system of construction measurement antiriot weapon system overall combat effectiveness are each respectively
The index of single index balance degree:
Wherein,Indicate that the corresponding sectorial area of all single indexs is corresponding with Maximum Index value in all single indexs
The ratio between sectorial area, for measuring the fighting efficiency of antiriot weapon system entirety to be evaluated;It indicates and circle of the same area
The ratio between perimeter, for assessing the balance degree of each single index of antiriot weapon system to be evaluated.Also,WithIt can uniquely really
It is fixed.
In the assessment of antiriot weapon System Combat Effectiveness, the fighting efficiency of overall evaluation system and each individual event of system are needed
The balance degree of index, therefore construct following evaluation model:
The above problem can be converted to the optimization problem of a Bi-objective, and multiple target, which is converted into monocular calibration method, to be had very much,
The present invention uses weighted sum method and weighted product method.
Utilize weighted sum Fa Ke get
Wherein, ωk, k=1,2 be corresponding weight, is metGenerally set according to the actual situation by evaluator
It is fixed.
Similarly, weighted product Fa Ke get is utilized
It is further known that imply in formula (9)WithWeight it is equal, i.e. ω1=ω2。
But in formula (9) can avoid becauseOrVariation lead to assessment result drastic change, to guarantee the stabilization of assessment result
Property.Therefore, method proposed by the present invention assesses the fighting efficiency of antiriot weapon system using formula (9) and formula (10).
Compared with prior art, the beneficial effects of the present invention are: it is provided by the invention a kind of based on the anti-riot of radar map method
Combat efficiency of weapon system appraisal procedure, the present invention utilize a kind of multivariable figure for developing utilization based on similar pathfinder
Change evaluation method, it is not visual in image enough to have well solved high existing method mathematical requirement, calculating process complexity, evaluation result
Defect, and the graphically quantitative relation in expression evaluation between indices, visual pattern, evaluation procedure are simple,
And realize overall merit.The present invention can be used for assessing other nonlethal weapon Combat Efficiency Evaluations, solve weapon system operation
Assessment problem in measures of effectiveness.
Detailed description of the invention
Fig. 1 is antiriot weapon radar cloud atlas;
Fig. 2 is the radar map of three kinds of antiriot weapon systems;
Fig. 3 is antiriot weapon System Combat Effectiveness appraisal procedure flow chart of the invention.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
Embodiment 1
The antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method that the present invention provides a kind of, this method include
Following steps:
S1, antiriot weapon System Combat Effectiveness evaluation index system is established;
S2, normalized antiriot weapon System Combat Effectiveness evaluation index;
S3, according to above-mentioned normalization operational effectiveness indices, draw antiriot weapon radar figure;
S4, antiriot weapon System Combat Effectiveness comprehensive evaluation model is established.
The common antiriot weapon system of three types: antiriot weapon A, antiriot weapon B and antiriot weapon C is chosen respectively, wherein three
The tactical and technical norms of type antiriot weapon system are shown in Table 1.
The tactical and technical norms of 1 three type antiriot weapon system of table
It can be obtained by formula (1) and formula (2), to index value such as 2 institute of table of the antiriot weapon system after numerical value standardization in table 1
Show.
2 three type antiriot weapon system specifications value of table
Index | Antiriot weapon A | Antiriot weapon B | Antiriot weapon C |
As | 0.12 | 1 | 0.12 |
Am | 0.8333 | 1 | 0.0917 |
T | 0.75 | 1 | 0.6563 |
R | 0.3333 | 1 | 1 |
CEP | 0.6 | 0.75 | 1 |
vs | 0.05 | 0.05 | 1 |
θc | 0.75 | 1 | 1 |
θs | 0.5 | 1 | 0.5 |
M | 1 | 0.136 | 0.0872 |
L×W×H | 1 | 0.2 | 0.075 |
e | 0.9694 | 0.9694 | 1 |
k | 1 | 1 | 1 |
Cb | 0.8889 | 0.9444 | 1 |
According to the data in table 2, the radar map of three type antiriot weapon systems, such as Fig. 2 are obtained using Matlab Software on Drawing
It is shown, in Fig. 2Expression " antiriot weapon A ",Expression " antiriot weapon B ",
It indicates " antiriot weapon C ".
Data in table 2, which are substituted into formula (6), to be obtained
With
Formula (11) and formula (12) are further substituted into formula (9) to obtain
Certainly, if taking ω1=ω2When=0.5, formula (11) and formula (12), which are substituted into formula (10), to be obtained
Therefore, comprehensive analysis formula (13) and formula (14), can obtain
I.e.
Antiriot weapon B > antiriot weapon A > antiriot weapon C (16)
Wherein X > Y indicates that the fighting efficiency of system X is better than the fighting efficiency of system Y.
In conclusion compared with prior art, the present invention develops the more of utilization based on similar pathfinder using a kind of
The graphical evaluation method of variable has well solved existing method mathematical requirement height, calculating process complexity, the inadequate shape of evaluation result
As intuitive defect, and graphically, the quantitative relation in expression evaluation between indices, visual pattern were evaluated
Journey is simple, and realizes overall merit.The present invention can be used for assessing other nonlethal weapon Combat Efficiency Evaluations, solve weapon system
Assessment problem in Combat Efficiency Evaluation of uniting.
Finally, it should be noted that the foregoing is only a preferred embodiment of the present invention, it is not intended to restrict the invention,
Although the present invention is described in detail referring to the foregoing embodiments, for those skilled in the art, still may be used
To modify the technical solutions described in the foregoing embodiments or equivalent replacement of some of the technical features,
All within the spirits and principles of the present invention, any modification, equivalent replacement, improvement and so on should be included in of the invention
Within protection scope.
Claims (5)
1. a kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method, characterized by the following steps:
S1, antiriot weapon System Combat Effectiveness evaluation index system is established;
S2, normalized antiriot weapon System Combat Effectiveness evaluation index;
S3, according to above-mentioned normalization operational effectiveness indices, draw antiriot weapon radar figure;
S4, antiriot weapon System Combat Effectiveness comprehensive evaluation model is established.
2. a kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method according to claim 1, special
Sign is: establishing antiriot weapon System Combat Effectiveness evaluation index system in the step S1 and mainly includes antiriot bomb efficiency, prevents
Sudden and violent Weapon System Reliability and anti-riot transmitter efficiency;Wherein, antiriot bomb efficiency includes that single-shot, multiple salvo disperse area, war
Pan equivalent, effective range and circular proable error;Antiriot weapon system reliability include adaptive capacity to environment, functional reliability and
Economy;Anti-riot transmitter efficiency includes firing rate, vertical, horizontal emission ability, gross mass and outer dimension.
3. a kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method according to claim 1, special
Sign is: normalized antiriot weapon System Combat Effectiveness evaluation index in the step S2, specifically:
In antiriot weapon system effectiveness index, profit evaluation model index has: single-shot disperses area As, salvo disperse area Am, effectively penetrate
Journey R, warhead equivalent T, Vertical Launch angle θc, horizontal emission angle θs, firing rate vs, adaptive capacity to environment e, functional reliability k and warp
Ji property cb.Cost type index: CEP, total weight M and outer dimension C.
Have for profit evaluation model index:
Similarly, have for cost type index:
Wherein,Indicate the normative value of j-th of profit evaluation model index in i-th of antiriot weapon system to be evaluated;I meets i=1,
2 ..., m, m indicate m antiriot weapon systems to be evaluated;J meets j=1, and 2 ..., n, n indicate n single index.
4. a kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method according to claim 1, special
Sign is: according to normalization operational effectiveness indices in the step S3, antiriot weapon radar figure is drawn, specifically:
Firstly, drawing circle using O as the center of circle.The angle between equal part is obtained with number axis by circle equal part according to the quantity n of evaluation index
Are as follows:
α=2 π/n (3)
Then, the numerical value after each index normalization is demarcated on number axis:
Finally, connecting each adjacent index with straight line, the radar map that irregular polygon is antiriot weapon system is obtained.
5. a kind of antiriot weapon System Combat Effectiveness appraisal procedure based on radar map method according to claim 1, special
Sign is: antiriot weapon System Combat Effectiveness comprehensive evaluation model is established in the step S4, specifically:
Assuming that the radar area of pictural surface of i-th of antiriot weapon system to be evaluated is Si, Zhou Changwei Li, then
Wherein, vijFor the value after j-th of single index standardization of i-th of antiriot weapon system to be evaluated;
Since the sequence of index arrangement is different, the area S of radari, perimeter LiIt may be not unique;In order to guarantee assessment result
Uniqueness, using the area and perimeter of radar map in Fig. 1, i.e., area is all sectorial areas, the arc of all sectors of Zhou Changwei
It is long;
Wherein,WithRespectively indicate i-th of antiriot weapon system to be evaluated the corresponding sectorial area of j-th of single index and
Fan-shaped arc length;
The further index of construction measurement antiriot weapon system overall combat effectiveness and measurement each individual event of antiriot weapon system respectively
The index of index equilibrium degree:
Wherein,Indicate the corresponding sectorial area of all single indexs sector corresponding with Maximum Index value in all single indexs
Area ratio, for measuring the fighting efficiency of antiriot weapon system entirety to be evaluated;Indicate with the perimeter of circle of the same area it
Than for assessing the balance degree of each single index of antiriot weapon system to be evaluated;Also,WithIt can uniquely determine;
In the assessment of antiriot weapon System Combat Effectiveness, the fighting efficiency of overall evaluation system and each single index of system are needed
Balance degree, therefore construct following evaluation model:
The above problem can be converted to the optimization problem of a Bi-objective, and multiple target, which is converted into monocular calibration method, to be had very much, use
Weighted sum method and weighted product method;
Utilize weighted sum Fa Ke get:
Wherein, ωk, k=1,2 be corresponding weight, is metGenerally it is set according to actual conditions by evaluator;
Similarly, weighted product Fa Ke get is utilized:
By formula (8) and formula (9) it is found that formula (8) calculates EANeed to give corresponding weights omegak, k=1,2, and formula (9) calculating is not required to
Weight is given, it is further known that imply in formula (9)WithWeight it is equal, i.e. ω1=ω2;
But in formula (9) can avoid becauseOrVariation lead to assessment result drastic change, to guarantee the stability of assessment result.
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