Model for Solving Fuzzy Multiple Objective Problem

Ritika Chopra, Ratnesh R. Saxena

Department of Mathematics, Deen Dayal Upadhyay College, Delhi University, Delhi, India.
Department of Mathematics, Delhi University, Delhi, India.

DOI: 10.4236/ajor.2013.31005                

Abstract

In real world decision making problems, the decision maker has to often optimize more than one objective, which might be conflicting in nature. Also, it is not always possible to find the exact values of the input data and related parameters due to incomplete or unavailable information. This work aims at developing a model that solves a multi objective distribution programming problem involving imprecise available supply, forecast demand, budget and unit cost/ profit coefficients with triangular possibility distributions. This algorithm aims to simultaneously minimize cost and maximize profit with reference to available supply constraint at each source, forecast demand constraint at each destination and budget constraint. An example is given to demonstrate the functioning of this algorithm.

Keywords

Decision Making Problems; Multi Objective Distribution Programming Problem; Fuzzy Set Theory

Conflicts of Interest

The authors declare no conflicts of interest.

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