Title of article :
Solving matrix games with hesitant fuzzy pay-offs
Author/Authors :
Seikh, M. R. Department of Mathematics - Kazi Nazrul University, Asansol, India , Karmakar, S. Department of Mathematics - Kazi Nazrul University, Asansol, India , Xia, M. School of Economics and Management - Beijing University, Beijing, China
Abstract :
The objective of this paper is to develop matrix games with pay-os 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
Keywords :
Matrix Game , triangular hesitant fuzzy set , score function , multi-objective optimization , lexicographic method
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
