AN ITERATIVE APPROACH FOR FUZZY MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM

In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy mult...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics Vol. 13; no. 4; p. 1383
Main Authors: Loganathan, T, Ganesan, K
Format: Journal Article
Language:English
Published: Istanbul Turkic World Mathematical Society 01.01.2023
Elman Hasanoglu
Subjects:
Equivalence
Fuzzy algorithms
Fuzzy logic
Fuzzy sets
Fuzzy systems
Iterative methods
Linear programming
Mathematical programming
Mathematical research
Mathematics
Optimization
Pareto optimum
India
ISSN:2146-1147, 2146-1147
Online Access:Get full text
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Summary:In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy multi objective linear fractional programming problem (FMOLFPP), the given FMOLFPP is reduced to an equivalent single objective non-fractional fuzzy linear programming problem (NFLPP). Then the fuzzy optimal solution of the reduced NFLPP is obtained which inturn provides the Pareto optimal solution of the given FMOLFPP. Numerical examples are provided to illustrate the efficiency of the proposed method. Keywords:Fuzzy number, fuzzy ranking, fuzzy arithmetic, fuzzy fractional programming(FFP), fuzzy target, fuzzy tolerance limit, Pareto optimal. AMS Subject Classification: 03E72, 90C32, 90C05, 90C70.
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ISSN:2146-1147
2146-1147