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

被引：34
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.
引用
收藏
页码：559 / 583
页数：25
相关论文
共 49 条
[11]   On the relationship between some extensions of fuzzy set theory [J].
Deschrijver, G ;
Kerre, EE .
FUZZY SETS AND SYSTEMS, 2003, 133 (02) :227-235
[12]   An introduction to bipolar representations of information and preference [J].
Dubois, Didier ;
Prade, Henri .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2008, 23 (08) :866-877
[13]   Correlation for Dual Hesitant Fuzzy Sets and Dual Interval-Valued Hesitant Fuzzy Sets [J].
Farhadinia, B. .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2014, 29 (02) :184-205
[14]   Bipolar-Valued Rough Fuzzy Set and Its Applications to the Decision Information System [J].
Han, Ying ;
Shi, Peng ;
Chen, Sheng .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (06) :2358-2370
[15]  
Kaplan R. S., 1996, The balanced scorecard: Translating strategy into action
[16]   An extension of VIKOR method for multi-attribute decision-making under Pythagorean hesitant fuzzy setting [J].
Khan, Muhammad Sajjad Ali ;
Abdullah, Saleem ;
Ali, Asad ;
Amin, Fazli .
GRANULAR COMPUTING, 2019, 4 (03) :421-434
[17]   Pythagorean hesitant fuzzy sets and their application to group decision making with incomplete weight information [J].
Khan, Muhammad Sajjad Ali ;
Abdullah, Saleem ;
Ali, Asad ;
Siddiqui, Nasir ;
Amin, Fazli .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (06) :3971-3985
[18]  
Lee Keon Myung, 2004, [Journal of Korean Institute of Intelligent Systems, 한국지능시스템학회 논문지], V14, P125
[19]   Fuzzy decision making and fuzzy group decision making based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets [J].
Lee, Li-Wei ;
Chen, Shyi-Ming .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (03) :1119-1137
[20]   Fuzzy decision making based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets and hesitant fuzzy linguistic operators [J].
Lee, Li-Wei ;
Chen, Shyi-Ming .
INFORMATION SCIENCES, 2015, 294 :513-529
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