An Extended Fuzzy CPT-TODIM Model Based on Possibility Theory and its Application to Air Target Dynamic Threat Assessment

Ruojing Zhao,Fengbao Yang,Linna Ji

doi:10.1109/access.2022.3153361

Abstract

Dynamic target threat assessment can be regarded as a classical multiple attribute group decision-making (MAGDM) issue. Triangular fuzzy numbers (TFNs) can fully describe imprecise and fuzzy information for target threat assessment. Thus, to consider the changing trend of target detection information in a certain period and the influence of commanders’ psychological factors on target threat assessment results, this study proposes an extended CPT-TODIM method based on possibility theory (PT-CPT-TODIM) to solve target threat assessment. Of note, the CRITIC method is used to determine the attribute weights of the probability mean matrix and the probability standard deviation matrix, which can make the target threat assessment result more rational. A numerical example and comparison analysis demonstrate the efficiency and feasibility of the newly proposed CPT-TODIM method.

Highlights

The rapid development of weapons and equipment information technology and the wide application of new aviation equipment have exacerbated the antagonistics and complexity of modern air combat [1]
Interval intuitionistic fuzzy numbers (IVIFs) are used to represent target detection information in [4, 5]. [6] studied the target threat assessment based on generalized intuitionistic fuzzy soft set (GIFSS)
In contrast to previous studies on the extensions of the CPT-TODIM method under a fuzzy battlefield environment, in this study, we introduce the concept of Markowitz’s portfolio mean–variance methodology into the CPT-TODIM method with triangular fuzzy numbers, and the study aims to develop an extended fuzzy CPT-TODIM method based on possibility theory for the threat assessment of air targets

Summary

INTRODUCTION

The rapid development of weapons and equipment information technology and the wide application of new aviation equipment have exacerbated the antagonistics and complexity of modern air combat [1]. Zhang et al [15] studied a CPT-TODIM method for multiple attribute group decision-making under a 2-tuple linguistic Pythagorean fuzzy environment. Zhao et al [18] combined the CPT-TODIM method with an interval‐ valued Pythagorean fuzzy set and established a green supplier selection model. In the extended fuzzy CPT-TODIM method, the battlefield commander will select an ideal target with a high possibilistic mean value and high possibilistic standard deviation. The proposed method combs the target threat assessment process, which contributes to further assisting commanders in making scientific decisions. This combination has application prospects in corresponding cases, which can boost and replenish the research. Related Knowledge the essential knowledge about possibility theory [19,20], TODIM method based on CPT [12,21] and CRITIC method [22] are reviewed

Possibility theory

The proposed extended CPT-TODIM based on the possibility theory

Comparative analysis

Conclusion