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Paper Information

Journal:   JOURNAL OF SYSTEM MANAGEMENT   2019 , Volume 5 , Number 2; Page(s) 1 To 20.

Fuzzy Compromise Approach for Solving Interval-Valued Fractional Multi-Objective Multi-Product Solid Transportation Problems

Author(s):  Abd El wahed Khalifa Hamiden*
* Operations Research Department, Institute of Statistical Studies & Research, Cairo University, Giza, Egypt /Department of Mathematics, College of Arts and Science, Al Badaya, Qassim University, Saudi Arabia
In this paper, a fractional multi-objective multiproduct solid transportation problem with interval costs, supply, demand, and conveyances is investigated based on fuzzy programming approach. To minimize the problem, the order relations that represent the decision maker's (DM) performance between interval costs, supply, demand and conveyances are defined by the right limit, and the left limit. Through the deterministic problem is obtained, a fuzzy programming approach is applied by defining membership functions. A linear membership function is being used for obtaining optimal compromise solution. Finally, a numerical example is given to the utility of the approach.
Keyword(s): Multi-Objective Multi-Product Solid Ttransportation Problem,Interval Numbers,Inexact Programming,linear Membership Function,Fuzzy Programming,Fractional Programming
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