Abstract

As one of the most essential parts of the military operation, the ability of weapon systems to achieve the operation mission is vital to the success of a military operation. Focusing on the problem of weapon system effectiveness assessment (WSEA) under interval uncertainty, this paper proposed WSEA method that utilized the interval-valued evidential reasoning (ER) algorithm, the analytical hierarchy process (AHP), and the two-grade interval ranking method to properly deal with interval uncertainty in the assessment as well as provide reliable assessment results. Firstly, the AHP is used to determine the weight of different attributes of the weapon system based on experts’ knowledge, which could enhance the subjectiveness of the assessment result. Then, the interval-valued ER algorithm is applied to combine the assessment of different attributes under interval uncertainty and provide the overall assessment result. Finally, the two-grade interval ranking method is utilized to compare and rank the assessment results of different weapons. Case study shows that the proposed method could provide reliable and accurate results for weapon effectiveness assessment. Comparison results and sensitivity analysis results further confirm that the proposed method is not only as effective as existing methods with precise data, but also has the ability to provide reliable results under uncertainty. In conclusion, by utilizing the interval-valued ER algorithm, the AHP and the two-grade interval ranking method, the proposed method provides a novel and effective way for weapon effectiveness assessment under uncertainty, especially interval uncertainty.

Highlights

  • Weapon system is one of the most essential parts of military operations, and its ability to achieve the operation mission is decisive to the success of a military operation [1]–[5]

  • This kind of uncertainty has been largely ignored by current studies, and how to properly model these uncertain information in the WSEA problem remains an open issue. To this end, focusing on the problem of WSEA under uncertainty, this paper proposed a novel weapon system effectiveness assessment method to deal with uncertain information in weapon systems, where the interval-valued evidential reasoning (ER) algorithm, the analytical hierarchical process (AHP) and the two-grade interval ranking method are utilized to deal with different kinds of uncertainties, especially interval uncertainty

  • PROPOSED METHOD a weapon system effectiveness assessment method based on the interval-valued ER algorithm, the analytic hierarchy process (AHP) and the two-grade interval ranking method is developed, and the proposed method consists of three parts: (1) transform different kinds of information into belief distribution; (2) combine the interval-valued belief distribution for calculating the evaluation result; (3) rank weapon systems based on their evaluation results

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Summary

INTRODUCTION

Weapon system is one of the most essential parts of military operations, and its ability to achieve the operation mission is decisive to the success of a military operation [1]–[5]. In many cases, the information of weapon system is either based on the judgments of experts, or based on documents, which could lead to different kinds of uncertain information, such as qualitative judgments and interval data This kind of uncertainty has been largely ignored by current studies, and how to properly model these uncertain information in the WSEA problem remains an open issue. To this end, focusing on the problem of WSEA under uncertainty, this paper proposed a novel weapon system effectiveness assessment method to deal with uncertain information in weapon systems, where the interval-valued evidential reasoning (ER) algorithm, the analytical hierarchical process (AHP) and the two-grade interval ranking method are utilized to deal with different kinds of uncertainties, especially interval uncertainty.

PRELIMINARIES
ANALYTICAL HIERARCHY PROCESS
ASSESSMENT RESULT AGGREGATION USING THE INTERVAL-VALUED ER ALGORITHM
WEAPON SYSTEM RANKING BASED ON THE TWO-GRADE RANKING METHOD
ATTRIBUTE WEIGHT CALCULATION
COMPARATIVE ANALYSIS
SENSITIVITY ANALYSIS
CONCLUSION
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