A novel algorithm for solving two-objective fuzzy transportation problems

Abstract

Fuzzy two-objective transportation Satisfaction level percent Efficient solution Fuzzy number A-level set A B S T R A C T A new method is proposed for finding efficient solution sets for fuzzy two objective transportation problems using ranking function and percent of function one solution is introduced for transportation problem and explained with the proposed model. Decision maker can obtain efficient solutions with the proposed method and selects the most preferred one among them. Objective of classic transportation problem is minimizing cost but generally, problems which are formulated are multi-purpose and these purposes will be measured in different scales and are inconsistent with each other. In practice, ideal solution for multi-objective problem is always impossible. When objectives are in conflict with each other, we cannot reach these solutions. For this purpose, efficient solution will be introduced instead of ideal solution. Often, objective functions and right-hand columns are considered as fuzzy data in multi-objective transportation problems that these values are determined by decision-maker; then, he will reach solution by analyzing data with required method. In 1979, an algorithm was introduced by Izerman for multi-objective transportation problems. in 2005, an algorithm was proposed by Omar and Yunes for solving multi-objective transportation problems using fuzzy factors. In 2011, a new method was presented by Pendian for solving two- objective transportation problem. In this article, a new method is suggested for finding efficient solution sets for two-objective fuzzy transportation using ranking function. In proposed method, solution of next problem could be