چکیده:
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.
خلاصه ماشینی:
Fuzzy Compromise Approach for Solving Interval-Valued Fractional Multi-Objective Multi-Product Solid Transportation Problems Hamiden Abd El-wahed Khalifa 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 multi- product solid transportation problem with interval costs, supply, demand, and conveyances is investigated based on fuzzy programming approach.
Abstract Keywords: Multi-Objective Multi-Product Solid Ttransportation Problem; Interval Numbers; Inexact Programming; linear Membership Function; Fuzzy Programming; FractionalProgramming.
Rani and Gulati (2015) introduced fully fuzzy multi- objective multi- item STP and applied fuzzy programming approach to find the fuzzy optimal compromise solution of the problem.
Gupta and Chakraborty (1999) have been introduced a methodology for a restricted class of MOLFP problem in the sense that there exists some values of decision variables for which the numerator is positive and the denominator is positive for all values of decision variables in the feasible region, and then applied fuzzy approach for solving the problem by defining a linear membership function.
In section 3, a multi- objective multi- product solid transportation problem with interval costs, supply, demand is formulated.
7. Concluding remarks In this paper, fractional multi- objective multi- product solid transportation problem with interval costs, supply, demand, and conveyances has been investigated based on fuzzy programming approach.
Solving multi- objective fuzzy solid transportation problem based on expected value and the goal programming approach.
An approach to solve multi- objective transportation problem using fuzzy goal programming and genetic algorithm.