System portfolio selection based on GRA method under hesitant fuzzy environment  

作　　者：LI Zhuoqian DOU Yajie XIA Boyuan YANG Kewei LI Mengjun 

机构地区：[1]College of Systems Engineering,National University of Defense Technology,Changsha 410073,China

出　　处：《Journal of Systems Engineering and Electronics》2022年第1期120-133,共14页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China (71901214;71690233)。

摘　　要：The hesitant fuzzy set(HFS) is an important tool to deal with uncertain and vague information.In equipment system portfolio selection, the index attribute of the equipment system may not be expressed by precise data;it is usually described by qualitative information and expressed as multiple possible values.We propose a method of equipment system portfolio selection under hesitant fuzzy environment.The hesitant fuzzy element(HFE) is used to describe the index and attribute values of the equipment system.The hesitation degree of HFEs measures the uncertainty of the criterion data of the equipment system.The hesitant fuzzy grey relational analysis(GRA) method is used to evaluate the score of the equipment system, and the improved HFE distance measure is used to fully consider the influence of hesitation degree on the grey correlation degree.Based on the score and hesitation degree of the equipment system,two portfolio selection models of the equipment system and an equipment system portfolio selection case is given to illustrate the application process and effectiveness of the method.

关 键 词：system portfolio selection hesitant fuzzy set(HFS) grey relational analysis(GRA) score-hesitation tradeoff portfolio model 

分 类 号：E92[军事—军事装备学] O159[兵器科学与技术—武器系统与运用工程]