Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals

Authors:
A. Aggarwal;A. Mehra;S. Chandra
Affiliations:
University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Delhi, India 110403;Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, India 110016;Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, India 110016
Venue:
Fuzzy Optimization and Decision Making
Year:
2012

Citing 23
Cited 1

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Abstract

In this paper we study a class of linear programming problems having fuzzy goals/constraints that can be described by (Atanassov's) I-fuzzy sets. Duality theory is developed for this class of problems in the I-fuzzy sense which is subsequently applied to define a new solution concept for two persons zero-sum matrix games with I-fuzzy goals.