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Pakistan Journal of Statistics and Operation Research
Fuzzy solution of fully fuzzy multi-objective linear fractional programming problems
Author(s)
T.Loganathan
Department of Mathematics, SRM Institute of Science and Technology, Chennai, India
K. Ganesan
Department of Mathematics, SRM Institute of Science and Technology, Chennai, India
Abstract
In this study, we present a novel method for solving fully fuzzy multi-objective linear fractional programming problems without transforming to equivalent crisp problems. First, we calculate the fuzzy optimal value for each fractional objective function and then we convert the fully fuzzy multi-objective linear fractional programming problem to a single objective fuzzy linear fractional programming problem and find its fuzzy optimal solution which inturn yields a fuzzy Pareto optimal solution for the given fully fuzzy multi-objective linear fractional programming problem. To demonstrate the proposed strategy, a numerical example is provided.
Publication Details
Page(s)
817-825
DOI
10.18187/pjsor.v17i4.3368
Published
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 4, Year: 2021
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Keywords
fuzzy ranking, parametric form, Pareto optimal solution, triangular fuzzy numbers, Fuzzy Multi-objective linear fractional programming, fuzzy arithmetic
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