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A New Approach to Solve Fully Fuzzy Multi-Objective Transportation Problem

Malihe Niksirat

2022Fuzzy Information and Engineering17 citationsDOIOpen Access PDF

Abstract

The transportation problem is the problem of transferring goods from several sources or producers to multiple destinations or consumers in a cost-effective way, which is one of the most important problems in the supply chain management problems. The application of this problem in addition to the distribution of goods in the location and production planning problems is also important. Many real-life transportation problems encounter multiple, conflicting, and incommensurable objective functions. In addition, in real applications, due to lack of information, it is not possible to accurately estimate the parameters of this problem. Therefore, the main goal of this paper is to find the Pareto optimal solutions of fully fuzzy multi-objective transportation problem under the conditions of uncertainty. In accordingly, a new approach based on nearest interval approximation is proposed to solve the problem. Numerical examples are provided to illustrate the proposed approach and results.

Topics & Concepts

Mathematical optimizationFuzzy transportationTransportation theoryComputer scienceInterval (graph theory)Fuzzy logicSupply chainFuzzy setSupply chain managementPareto principleOptimization problemFuzzy numberMathematicsArtificial intelligenceCombinatoricsPolitical scienceLawOptimization and Mathematical ProgrammingFuzzy Systems and OptimizationUrban Transport Systems Analysis
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