Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals |
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Authors: | A Aggarwal A Mehra S Chandra |
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Institution: | 1. University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Delhi, 110403, India 2. Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India
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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. |
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