Fully Fuzzy Multi-Choice Multi-Objective Linear Programming Solution via Deviation Degree

The purpose of this paper is to study fully fuzzy multi-choice multi-objective linear programming problem (FFMMOLPP), in which, right hand side of each constraint has two choices. With the help of ranking function, deviation distance and deviation degree between two fuzzy numbers are defined. A new...

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Vydáno v:International journal of pure and applied sciences and technology Ročník 19; číslo 1; s. 49
Hlavní autoři: Aggarwal, Shashi, Sharma, Uday
Médium: Journal Article
Jazyk:angličtina
Vydáno: Kokrajhar International Journal of Pure and Applied Sciences and Technology 01.11.2013
Témata:
Comparative studies
Deviation
Fuzzy
Fuzzy logic
Fuzzy set theory
Linear programming
Optimization
Pareto optimality
Ranking
ISSN:2229-6107, 2229-6107
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Shrnutí:The purpose of this paper is to study fully fuzzy multi-choice multi-objective linear programming problem (FFMMOLPP), in which, right hand side of each constraint has two choices. With the help of ranking function, deviation distance and deviation degree between two fuzzy numbers are defined. A new method is proposed to find the delta -fuzzy pareto optimal solution of FFMMOLPP which is defuzzified by using deviation degree and ranking function. Furthermore, a comparative study of the existing methods in the literature and proposed method is conducted for the particular case of FFMMOLPP. Hereafter, a real world problem is presented to illustrate the efficiency of proposed method.
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ISSN:2229-6107
2229-6107