BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS

In this paper, we present an application of intuitionistic fuzzy programming to a two person bi-matrix game (pair of payoffs matrices) for the solution with mixed strategies using linear membership and non-membership functions. We also introduce the intuitionistic fuzzy(IF) goal for a choice of a st...

Full description

Saved in:
Bibliographic Details
Published in:Iranian journal of fuzzy systems (Online) 2010, Vol.7 (1), p.65
Main Authors: Nayak, Prasun Kumar, Pal, Madhumangal
Format: Article
Language:English
Subjects:
Mathematical programming
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we present an application of intuitionistic fuzzy programming to a two person bi-matrix game (pair of payoffs matrices) for the solution with mixed strategies using linear membership and non-membership functions. We also introduce the intuitionistic fuzzy(IF) goal for a choice of a strategy in a payoff matrix in order to incorporate ambiguity of human judgements; a player wants to maximize his/her degree of attainment of the IF goal. It is shown that this solution is the optimal solution of a mathematical programming problem. Finally, we present a numerical example to illustrate the methodology.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2010.162