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An Inventive Approach to Optimize Fuzzy Transportation Problem

Nirbhay Mathur, Pankaj Kumar Srivastava

2020International Journal of Mathematical Engineering and Management Sciences18 citationsDOIOpen Access PDF

Abstract

The present paper wraps an innovative approach to optimize transportation problems through generalized trapezoidal numbers in a fuzzy environment. The main contribution here is to develop an innovative method to optimize the generalized fuzzy trapezoidal transportation problem and reduce the computational intricacy of the existing methods. Then again this method confers many improved results against classical North-West Corner and Least-Cost schemes in Fuzzy environment. An additional merit of the proposed scheme is that for several fuzzy transportation problems it furnishes the best possible way out directly. It is simple to understand and apply. The solution process is exemplified through two numerical examples and comparison with some standard existing methods.

Topics & Concepts

Fuzzy logicFuzzy transportationScheme (mathematics)Mathematical optimizationProcess (computing)Computer scienceSimple (philosophy)Transportation theoryFuzzy numberFuzzy setMathematicsArtificial intelligenceMathematical analysisEpistemologyOperating systemPhilosophyOptimization and Mathematical ProgrammingFuzzy Systems and OptimizationMulti-Criteria Decision Making