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

Subject Areas : Business Strategy

Hamiden  Khalifa ¹ (Operations Research- ISSR- Cairo University)

Received: 2019-01-17 Accepted : 2019-02-12 Published : 2019-04-01

Keywords: Multi-objective multi-product solid transportation problem, inexact programming, Fractional programming, Fuzzy programming, Interval numbers, linear membership function,

Abstract :

In this paper, a fractional multi- objective multi- product 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.