Solving matrix games with hesitant fuzzy pay-offs

被引：0
|
作者：
Seikh, M. R. [1 ]
Karmakar, S. [1 ]
Xia, M. [2 ]
机构：
[1] Kazi Nazrul Univ, Dept Math, Asansol 713340, W Bengal, India
[2] Beijing Univ, Sch Econ & Management, Beijing, Peoples R China
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2020年 / 17卷 / 04期
关键词：
Matrix Game; triangular hesitant fuzzy set; score function; multi-objective optimization; lexicographic method; PROGRAMMING APPROACH; INFORMATION AGGREGATION; PAYOFFS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this paper is to develop matrix games with pay-offs of triangular hesitant fuzzy elements (THFEs). To solve such games, a new methodology has been derived based on the notion of weighted average operator and score function of THFEs. Firstly, we formulate two non-linear programming problems with THFEs. Then applying the score function of THFEs, we transform these two problems into two non-linear multi-objective programming problems with triangular fuzzy numbers (TFNs). Finally, the Lexicographic method is used to solve these two multi-objective programming problems. A market share problem is considered to show the validity and applicability of the proposed methodology.
引用
收藏
页码：25 / 40
页数：16
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