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Utilizing a new approach for solving fully fuzzy linear programming problems

Authors: Khalifa, Hamiden Abdelwahed;

Utilizing a new approach for solving fully fuzzy linear programming problems

Abstract

Summary: This paper deals with fully fuzzy linear programming (FFLP) problem in which all parameters and variables are characterized by \(L - R\) fuzzy numbers. By a proposed approach, the FFLP problem is converted into the triple objective functions, and hence a single objective using the weighting method. Through this approach the problem is not transformed into the crisp linear programming problem (LPP) that is enable for obtaining fuzzy optimal solution and the corresponding fuzzy optimal solution which is more realistic to the real world problems. Then a numerical example is taken to the utility and clarify the practically and the efficiency of the approach.

Related Organizations
Keywords

T57-57.97, Applied mathematics. Quantitative methods, fuzzy optimal solution, \(L - R\) fuzzy numbers, fuzzy optimal solution, Linear programming, L-R fuzzy numbers, Fuzzy and other nonstochastic uncertainty mathematical programming, fully fuzzy linear programming, software GAMS, weighting method

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    popularity
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    Top 10%
    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Published in a Diamond OA journal