A novel method for solving multi- objective linear fractional programming problem under uncertainty

This paper deals with a multi-objective linear fractional programming problem in fuzzy environment. The problem is considered by introducing all the parameters as piecewise quadratic fuzzy numbers. Through the use of the associated real number of the close interval approximation and the order relati...

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Vydáno v:Journal of fuzzy extension & applications (Online) Ročník 3; číslo 2; s. 169 - 176
Hlavní autor: Ibrahim Mohamed Mekawy
Médium: Journal Article
Jazyk:angličtina
Vydáno: Ayandegan Institute of Higher Education 01.06.2022
Témata:
close interval approximation
fuzzy optimal solution
hungarian method
linear fractional programming
multi-objective decision making
piecewise quadratic fuzzy number
proposed method
ISSN:2783-1442, 2717-3453
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Abstract This paper deals with a multi-objective linear fractional programming problem in fuzzy environment. The problem is considered by introducing all the parameters as piecewise quadratic fuzzy numbers. Through the use of the associated real number of the close interval approximation and the order relation of the piecewise quadratic fuzzy numbers, the problem is transformed into the corresponding crisp problem. A proposed method introduces to generate ideals and the set of all fuzzy efficient solutions. The advantage of it helps the decision maker to handle the real life problem. A numerical example is given illustrate the method.
AbstractList This paper deals with a multi-objective linear fractional programming problem in fuzzy environment. The problem is considered by introducing all the parameters as piecewise quadratic fuzzy numbers. Through the use of the associated real number of the close interval approximation and the order relation of the piecewise quadratic fuzzy numbers, the problem is transformed into the corresponding crisp problem. A proposed method introduces to generate ideals and the set of all fuzzy efficient solutions. The advantage of it helps the decision maker to handle the real life problem. A numerical example is given illustrate the method.
Author Ibrahim Mohamed Mekawy
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Snippet This paper deals with a multi-objective linear fractional programming problem in fuzzy environment. The problem is considered by introducing all the parameters...
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SubjectTerms close interval approximation
fuzzy optimal solution
hungarian method
linear fractional programming
multi-objective decision making
piecewise quadratic fuzzy number
proposed method
Title A novel method for solving multi- objective linear fractional programming problem under uncertainty
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