CN112541273A - Non-lethal weapon efficiency evaluation method based on improved PCM-power exponent method - Google Patents

Non-lethal weapon efficiency evaluation method based on improved PCM-power exponent method Download PDF

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CN112541273A
CN112541273A CN202011507879.0A CN202011507879A CN112541273A CN 112541273 A CN112541273 A CN 112541273A CN 202011507879 A CN202011507879 A CN 202011507879A CN 112541273 A CN112541273 A CN 112541273A
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index
lethal weapon
weight
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彭维仕
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Engineering University of Chinese Peoples Armed Police Force
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Abstract

The invention discloses a non-lethal weapon efficiency evaluation method based on an improved PCM-power exponent method, which comprises the following steps: establishing a non-lethal weapon system efficiency evaluation index system; normalizing the efficiency evaluation index of the system; calculating the weight of the performance evaluation index after the normalization processing based on an improved PCM criterion; and establishing a comprehensive efficiency evaluation model of the non-lethal weapon system based on a power exponent method. The method utilizes the improved PCM criterion to calculate the weight of the efficiency evaluation index of the non-lethal weapon system, well solves the problems of subjectivity and large error of the traditional weight calculation method, calculates the efficiency of the non-lethal weapon system based on the power exponent method finally, and finally realizes comprehensive evaluation; the invention can also be used for evaluating the warfare effectiveness of other non-lethal weapons, and solves the evaluation problem in the warfare effectiveness evaluation of the weapon system.

Description

Non-lethal weapon efficiency evaluation method based on improved PCM-power exponent method
Technical Field
The invention belongs to the technical field of weapon system combat effectiveness evaluation, and particularly relates to a non-lethal weapon effectiveness evaluation method based on an improved PCM-power exponent method.
Background
Terrorism is a major problem facing international society in complex international environments and in intense regional conflicts. Non-lethal weapons are currently the most effective weaponry to combat terrorism. Whether non-lethal weaponry meets the combat requirements of the troops requires scientific assessment of the effectiveness of the non-lethal weaponry. At present, the assessment method of non-lethal weapons mainly comprises a fuzzy comprehensive evaluation method, a power index, an analytic hierarchy process and a radar map method. However, this method has two major drawbacks: (1) the calculation of the evaluation index weight is not scientific; (2) only the results of the performance ranking are given in the evaluation results, and the performance evaluation results cannot be given alone.
Disclosure of Invention
The present invention overcomes the deficiencies of the prior art and provides a method for evaluating the effectiveness of a non-lethal weapon system based on an improved PCM-power exponent method, so as to solve the problems mentioned in the background art. The invention is an evaluation method of multi-attribute decision based on improved PCM-power exponent method, the method is simple to operate, and the evaluation result is visual.
The invention is realized by a non-lethal weapon efficiency evaluation method based on an improved PCM-power exponent method, which comprises the following steps:
s1, establishing a non-lethal weapon system efficiency evaluation index system;
s2, carrying out normalization processing on the performance evaluation index of the system;
s3, calculating the weight of the performance evaluation index after the normalization processing based on an improved PCM criterion;
and S4, establishing a comprehensive efficiency evaluation model of the non-lethal weapon system based on the power exponent method.
Preferably, the step S2 is specifically:
suppose that there are n evaluation objects W1,W2,…,WnM indices C1,C2,…,CmLet xijIs the ith object WiCorresponding to the jth index CjAnd (3) establishing an initial matrix for evaluating the efficacy of the non-lethal weapon system by using the index values (i is 1,2, …, n, j is 1,2, …, m).
And respectively normalizing the benefit type index and the cost type index, and obtaining a normalized non-lethal weapon system performance evaluation matrix according to the non-lethal weapon system performance evaluation initial matrix.
Preferably, the step S3 includes the steps of:
s31, constructing a non-lethal weapon system performance evaluation index attribute matrix;
s32, constructing an index weight competition matrix based on an improved PCM criterion;
s33, calculating the eigenvector of the index weight competition matrix, normalizing the eigenvector to obtain the weight of the corresponding index, and comprehensively obtaining the weight of the performance evaluation index.
Preferably, in step S32, the index weight competition matrix M of the improved PCM criterioncComprises the following steps:
Figure BDA0002845426920000021
wherein n evaluation objects W1,W2,…,WnM indices C1,C2,…,CmTo ensure that the index weight based on the modified PCM criterion competes for the matrix McUniqueness of the feature vector when m (C)p,Cq:W1→Wn) When 0, let m (C)p,Cq:W1→Wn)≈0.0001。
Preferably, in step S33, the calculation index weight competition matrix McThe feature vector of (a) is:
Figure BDA0002845426920000022
the weight of the corresponding index obtained by normalizing the feature vector is as follows:
Figure BDA0002845426920000023
preferably, in step S4, the comprehensive evaluation model of efficiency of the non-lethal weapon system is specifically:
Figure BDA0002845426920000024
wherein the content of the first and second substances,
Figure BDA0002845426920000031
the index value is normalized;
Figure BDA0002845426920000032
calculating the obtained index weight based on the improved PCM criterion; k is a consistency adjustment coefficient.
Compared with the defects and shortcomings of the prior art, the invention has the following beneficial effects: the invention utilizes the improved PCM criterion to calculate the weight of the non-lethal weapon system efficiency evaluation index, well solves the problems of subjectivity and large error of the traditional weight calculation method, calculates the efficiency of the non-lethal weapon system based on the power exponent method finally, and finally realizes comprehensive evaluation. The invention can also be used for evaluating the warfare effectiveness of other non-lethal weapons, and solves the evaluation problem in the warfare effectiveness evaluation of the weapon system.
Drawings
FIG. 1 is a schematic flow chart of a non-lethal weapon performance evaluation method according to the present invention;
FIG. 2 is a schematic diagram of performance evaluation indicators in accordance with an embodiment of the present invention;
FIG. 3 is a diagram of an exemplary performance evaluation index system in an embodiment of the invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Method embodiment
The invention discloses a non-lethal weapon efficiency evaluation method based on an improved PCM-power exponent method, which comprises the following steps as shown in figure 1:
s1, establishing a non-lethal weapon system effectiveness evaluation index system
In step S1, specific evaluation index system is given for specific system to clarify the specific application scope of the present invention. For example, the embodiment of the present invention provides a system performance evaluation index system for non-lethal weapons as shown in FIG. 2.
S2, normalizing the performance evaluation index of the system
In step S2, it is assumed that there are n evaluation targets W1,W2,…,WnM indices C1,C2,…,CmLet xijIs the ith object WiCorresponding to the jth index CjThe index value of (i is 1,2, …, n, j is 1,2, …, m), the initial matrix for evaluating the effectiveness of the nonfatal weapon system is:
Figure BDA0002845426920000041
for the benefit index, normalization is performed by:
Figure BDA0002845426920000042
similarly for the cost-type indicator, normalization is performed using the following equation:
Figure BDA0002845426920000043
thus, the normalized non-lethal weapon system performance evaluation matrix can be obtained as:
Figure BDA0002845426920000044
s3, calculating the weight of the performance evaluation index after the normalization processing based on the improved PCM criterion
S31, constructing a non-lethal weapon system performance evaluation index attribute matrix
From equation (4), the matrix of non-lethal weapon system evaluation index attributes is:
Figure BDA0002845426920000045
s32, constructing index weight competition matrix based on improved PCM criterion
Let m (p, q; W)i) Indicating non-lethal weapon system WiMiddle index CpAnd index CqThe results of the efficacy comparison of (a):
Figure BDA0002845426920000051
it is obvious from the formula (6) that
Figure BDA0002845426920000052
When it is, it represents the index CpIs superior to index CqThe efficiency of (c); rational m (p, q; W)i) When 0, the index C is indicatedqIs superior to index CpThe performance of (c). In addition, when
Figure BDA0002845426920000053
When it is, it represents the index CqAnd index CpThe efficiency of (2) is comparable.
According to the formula (6), n indexes C in the evaluated system can be obtainedpAnd index CqThe results obtained are reported as:
Figure BDA0002845426920000054
according to the formula (6) and the formula (7), the comparison results among all indexes are sorted, so that an index weight competition matrix M based on the improved PCM criterion is obtainedc：
Figure BDA0002845426920000055
To ensure an index weight competition matrix M based on improved PCM criteriacUniqueness of the feature vector when m (C)p,Cq；A1→An) When 0, let m (C)p,Cq；A1→An)≈0.0001。
S33, calculating the eigenvector of the index weight competition matrix
Computing an index competition matrix McThe feature vector of (2):
Figure BDA0002845426920000056
further normalizing formula (9) to obtain the weight of the corresponding index:
Figure BDA0002845426920000057
overview the weightings for non-lethal weapon System Performance evaluation indicators
Figure BDA0002845426920000058
S4, establishing a comprehensive efficiency evaluation model of the non-lethal weapon system based on the power exponent method
A comprehensive efficiency evaluation model of a non-lethal weapon system is established based on a power exponent method, and specifically comprises the following steps:
Figure BDA0002845426920000059
wherein the content of the first and second substances,
Figure BDA0002845426920000061
the index value is normalized;
Figure BDA0002845426920000062
calculating the obtained index weight based on the improved PCM criterion; k is a consistency adjustment coefficient.
Effects of the embodiment
The embodiment of the present effect performs corresponding operations corresponding to the steps of the embodiment of the method. The method specifically comprises the following steps:
in step S1, the advantage of the present invention will be described by taking the antiriot weapon of the non-lethal weapon system as an example. First, an antiriot fire weapon system performance evaluation index system is constructed, as shown in FIG. 3.
Three types of common antiriot weapon systems are selected respectively: the three-type antiriot weapon system comprises an antiriot weapon A, an antiriot weapon B and an antiriot weapon C, wherein tactical technical indexes of the three-type antiriot weapon system are shown in a table 1.
TABLE 1 tactical technical index of three-type antiriot weapon system
Index (I) Antiriot weapon A Anti-riot weapon B Anti-riot weapon C
Single hair dispersing area As 60 500 60
Uniform scattering area Am 1000 1200 110
Equivalent T of warhead 120 160 105
Effective range R 100 300 300
Velocity v of the jets 1 1 20
Perpendicular angle of incidence thetac 45 60 60
Horizontal angle of incidence thetas 180 360 180
Environmental adaptability e 0.95 0.95 0.98
Operational reliability k 0.9 0.9 0.9
Economic Cb 0.8 0.85 0.9
Circular probability error CEP 10 8 6
Total mass M 3.4 25 39
Dimension L multiplied by W multiplied by H 0.072 0.36 0.96
In step S2, the matrix for evaluating the effectiveness of the weapons riot system is normalized by the extremum normalization method, and the results are shown in table 2.
TABLE 2 three types of anti-riot weapon System normalization values
Index (I) Antiriot weapon A Anti-riot weapon B Anti-riot weapon C
Single hair dispersing area As 0.12 1 0.12
Uniform scattering area Am 0.8333 1 0.0917
Equivalent T of warhead 0.75 1 0.6563
Effective range R 0.3333 1 1
Velocity v of the jets 0.05 0.05 1
Perpendicular angle of incidence thetac 0.75 1 1
Horizontal angle of incidence thetas 0.5 1 0.5
Environmental adaptability e 0.9694 0.9694 1
Operational reliability k 1 1 1
Economic Cb 0.8889 0.9444 1
Circular probability error CEP 0.6 0.75 1
Total mass M 1 0.136 0.0872
Dimension L multiplied by W multiplied by H 1 0.2 0.075
In step S3, calculating a weight of the riot weapon system performance evaluation index based on the improved PCM criterion; s31, the matrix of the attribute of the evaluation index of the system performance of the anti-riot weapon is obtained from the formula (5):
Figure BDA0002845426920000071
s32, an index weight competition matrix based on the improved PCM criterion, obtainable from equations (6) and (7):
Figure BDA0002845426920000081
s33, calculating a characteristic vector of the index weight competition matrix:
W1×(m)＝[0.0926,0.0760,0.0741,0.0724,0.1033,0.06200.08500.0608,0.0419,0.0689,0.0867,0.0884,0.0881]
therefore, substituting the matrix into a comprehensive evaluation model for the efficiency of the non-lethal weapon system based on the power exponent method can obtain
Figure BDA0002845426920000082
It can be seen that
EB＞EA＞EC
Namely:
Figure BDA0002845426920000083
wherein the content of the first and second substances,
Figure BDA0002845426920000084
indicating that the operational effectiveness of system X is superior to that of system Y.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.

Claims (6)

1. A method for evaluating the effectiveness of a non-lethal weapon based on an improved PCM-power exponent method, the method comprising the steps of:
s1, establishing a non-lethal weapon system efficiency evaluation index system;
s2, carrying out normalization processing on the performance evaluation index of the system;
s3, calculating the weight of the performance evaluation index after the normalization processing based on an improved PCM criterion;
and S4, establishing a comprehensive efficiency evaluation model of the non-lethal weapon system based on the power exponent method.
2. The method for evaluating the effectiveness of a non-lethal weapon based on modified PCM-power exponent method according to claim 1, wherein the step S2 is specifically:
suppose that there are n evaluation objects W1,W2,…,WnM indices C1,C2,…,CmLet xijIs the ith object WiCorresponding to the jth index CjThe index values (i is 1,2, …, n, j is 1,2, …, m) are set up, and an initial matrix for evaluating the efficiency of the non-lethal weapon system is established;
and respectively normalizing the benefit type index and the cost type index, and obtaining a normalized non-lethal weapon system performance evaluation matrix according to the non-lethal weapon system performance evaluation initial matrix.
3. The method for evaluating the effectiveness of a non-lethal weapon based on modified PCM-power exponent method according to claim 1, wherein the step S3 comprises the steps of:
s31, constructing a non-lethal weapon system performance evaluation index attribute matrix;
s32, constructing an index weight competition matrix based on an improved PCM criterion;
s33, calculating the eigenvector of the index weight competition matrix, normalizing the eigenvector to obtain the weight of the corresponding index, and comprehensively obtaining the weight of the performance evaluation index.
4. The method for evaluating the effectiveness of a non-lethal weapon based on modified PCM-power exponent method according to claim 3, wherein in step S32, the index weight competition matrix M of the modified PCM criteriacComprises the following steps:
Figure FDA0002845426910000021
wherein n evaluation objects W1,W2,…,WnM indices C1,C2,…,CmTo ensure that the index weight based on the modified PCM criterion competes for the matrix McUniqueness of the feature vector when m (C)p,Cq；W1→Wn) When 0, let m (C)p,Cq；W1→Wn)≈0.0001。
5. The method for evaluating the effectiveness of a non-lethal weapon based on modified PCM-power exponent method according to claim 4, wherein in step S33, the index weight competition matrix M is calculatedcThe feature vector of
Figure FDA0002845426910000022
The weight of the corresponding index obtained by normalizing the feature vector is as follows:
Figure FDA0002845426910000023
6. the method for evaluating the efficacy of a nonfatal weapon based on the modified PCM-power exponent method as claimed in claim 1, wherein in step S4, the model for comprehensively evaluating the efficacy of the nonfatal weapon system is specifically:
Figure FDA0002845426910000024
wherein the content of the first and second substances,
Figure FDA0002845426910000025
the index value is normalized;
Figure FDA0002845426910000026
calculating the obtained index weight based on the improved PCM criterion; k is a consistency adjustment coefficient.
CN202011507879.0A 2020-12-18 2020-12-18 Non-lethal weapon efficiency evaluation method based on improved PCM-power exponent method Pending CN112541273A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112907151A (en) * 2021-04-07 2021-06-04 中国人民武装警察部队工程大学 Effectiveness evaluation method for earthquake relief equipment based on utility function method
CN112990752A (en) * 2021-04-07 2021-06-18 中国人民武装警察部队工程大学 Reconnaissance equipment efficiency evaluation method based on improved radar map method

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112907151A (en) * 2021-04-07 2021-06-04 中国人民武装警察部队工程大学 Effectiveness evaluation method for earthquake relief equipment based on utility function method
CN112990752A (en) * 2021-04-07 2021-06-18 中国人民武装警察部队工程大学 Reconnaissance equipment efficiency evaluation method based on improved radar map method

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