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Solving Intuitionistic Fuzzy Linear Programming Problem

DOI: 10.4236/ijis.2019.91003, PP. 44-58

Keywords: Intuitionistic Fuzzy Set, Intuitionistic Index, Intuitionistic Fuzzy Number, Intuitionistic Fuzzy Linear Programming Problem, Fuzzy Linear Programming Problem

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Abstract:

Intuitionistic Fuzzy Set (IFS) can be used as a general tool for modeling problems of decision making under uncertainty where, the degree of rejection is defined simultaneously with the degree of acceptance of a piece of information in such a way that these degrees are not complement to each other. Accordingly, an attempt is made to solve intuitionistic fuzzy linear programming problems using a technique based on an earlier technique proposed by Zimmermann to solve fuzzy linear programming problem. Our proposed technique does not require the existing ranking of intuitionistic fuzzy numbers. This method is also different from the existing weight assignment method or the Angelov’s method. A comparative study is undertaken and interesting results have been presented.

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