Hesitant bipolar-valued fuzzy sets and bipolar-valued hesitant fuzzy sets and their applications in multi-attribute group decision making

被引：30
|
作者：
Mandal, Prasenjit [1 ]
Ranadive, A. S. [2 ]
机构：
[1] Bhalukdungri Jr High Sch, Purulia 723153, W Bengal, India
[2] Guru Ghasidas Univ, Dept Pure & Appl Math, Bilaspur, Chhattisgarh, India
来源：
GRANULAR COMPUTING | 2019年 / 4卷 / 03期
关键词：
Hesitant fuzzy set; Bipolar-valued fuzzy set; Hesitant bipolar-valued fuzzy set; Bipolar-valued hesitant fuzzy set; Aggregation operators; Multi-attribute group decision making; LINGUISTIC TERM SETS; PREFERENCE RELATIONS; AGGREGATION; INFORMATION; ALGORITHMS; NUMBERS;
D O I：
10.1007/s41066-018-0118-1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we propose the concepts of hesitant bipolar-valued fuzzy sets (HBVFSs) and bipolar-valued hesitant fuzzy sets (BVHFSs). The HBVFSs encompass bipolar-valued fuzzy sets (BVFSs) and hesitant fuzzy sets (HFSs) as special cases. The BVHFS is the generalization of the concept of HFS in which the membership degrees of an element to a given set are not exactly defined, but denoted by several possible bipolar-valued fuzzy values. Then, we investigate the basic operations, properties, and comparison laws of HBVFSs and BVHFSs. Based on these basic operations, properties, and comparison laws, we also develop some aggregation operators for solving the multi-attribute group decision-making problems with numerical examples.
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页码：559 / 583
页数：25
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