A New Model of Interval-Valued Intuitionistic Fuzzy Weighted Operators and Their Application in Dynamic Fusion Target Threat Assessment

• Published in: Entropy (Basel, Switzerland) Vol. 24; no. 12; p. 1825
• Main Authors: Fan, Chengli, Fu, Qiang, Song, Yafei, Lu, Yingqi, Li, Wei, Zhu, Xiaowen
• Format: Journal Article
• Language: English
• Published: Switzerland MDPI AG 14.12.2022; MDPI
• Subjects: Accuracy; Algebra; Ballistic missile defenses; Battlefields; Decision theory; Distance measurement; Fuzzy sets; Fuzzy systems; Guided missiles; interval-valued intuitionistic fuzzy aggregation operator; interval-valued intuitionistic fuzzy entropy; interval-valued intuitionistic fuzzy number distance measurement; Methods; Missile defense; multi-time fusion; Multiple criteria decision making; Operators (mathematics); Poisson distribution; Reliability analysis; Rockets (Ordnance); Set theory; Threat assessment; Trigonometric functions; interval-valued intuitionistic fuzzy aggregation operator; interval-valued intuitionistic fuzzy entropy; threat assessment; interval-valued intuitionistic fuzzy number distance measurement; multi-time fusion
• ISSN: 1099-4300; 1099-4300
• DOI: 10.3390/e24121825

Existing missile defense target threat assessment methods ignore the target timing and battlefield changes, leading to low assessment accuracy. In order to overcome this problem, a dynamic multi-time fusion target threat assessment method is proposed. In this method, a new interval valued intuitionistic fuzzy weighted averaging operator is proposed to effectively aggregate multi-source uncertain information; an interval-valued intuitionistic fuzzy entropy based on a cosine function (IVIFECF) is designed to determine the target attribute weight; an improved interval-valued intuitionistic fuzzy number distance measurement model is constructed to improve the discrimination of assessment results. Specifically, first of all, we define new interval-valued intuitionistic fuzzy operation rules based on algebraic operations. We use these rules to provide a new model of interval-valued intuitionistic fuzzy weighted arithmetic averaging (IVIFWAA) and geometric averaging (IVIFWGA) operators, and prove a number of algebraic properties of these operators. Then, considering the subjective and objective weights of the incoming target, a comprehensive weight model of target attributes based on IVIFECF is proposed, and the Poisson distribution method is used to solve the time series weights to process multi-time situation information. On this basis, the IVIFWAA and IVIFWGA operators are used to aggregate the decision information from multiple times and multiple decision makers. Finally, based on the improved TOPSIS method, the interval-valued intuitionistic fuzzy numbers are ordered, and the weighted multi-time fusion target threat assessment result is obtained. Simulation results of comparison show that the proposed method can effectively improve the reliability and accuracy of target threat assessment in missile defense.