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Optimal Solution of Fuzzy Transportation Problem Using Octagonal Fuzzy Numbers

D. Gurukumaresan, C. Duraisamy, R. Srinivasan

2021Computer Systems Science and Engineering286 citationsDOIOpen Access PDF

Abstract

In this paper a fuzzy transportation problem under a fuzzy environment is solved using octagonal fuzzy numbers. The transportation problem is significant and has been widely studied in the field of applied mathematics to solve a system of linear equations in many applications in science. Systems of concurrent linear equations play a vital major role in operational research. The main perspective of this research paper is to find out the minimum amount of transportation cost of some supplies through a capacitated network formerly the availability and the demand notes are octagonal fuzzy numbers. Octagonal fuzzy numbers are used and showed a membership function. To illustrate this method, a fuzzy transportation problem is solved by using octagonal fuzzy numbers using the ranking technique. It is shown that it is the best optimal solution and it is demonstrated with a numerical example.

Topics & Concepts

Fuzzy transportationFuzzy numberMathematical optimizationTransportation theoryFuzzy logicFuzzy set operationsFuzzy mathematicsDefuzzificationMathematicsField (mathematics)Ranking (information retrieval)Membership functionComputer scienceFuzzy setArtificial intelligencePure mathematicsOptimization and Mathematical ProgrammingMulti-Criteria Decision MakingFuzzy Systems and Optimization