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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Bibliographic Details
Published in:	Journal of fuzzy extension & applications (Online) Vol. 3; no. 2; pp. 169 - 176
Main Author:	Ibrahim Mohamed Mekawy
Format:	Journal Article
Language:	English
Published:	Ayandegan Institute of Higher Education 01.06.2022
Subjects:	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
Online Access:	Get full text
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Summary:	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.
ISSN:	2783-1442 2717-3453
DOI:	10.22105/jfea.2022.331180.1206