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

页码：25 / 40

页数：16

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