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International Journal Of Chemistry, Mathematics And Physics(IJCMP)

A New Method to Solving Generalized Fuzzy Transportation Problem-Harmonic Mean Method

S. Senthil Kumar , P. Raja , P. Shanmugasundram , Srinivasarao Thota


International Journal of Chemistry, Mathematics And Physics(IJCMP), Vol-4,Issue-3, May - June 2020, Pages 51-56 , 10.22161/ijcmp.4.3.3

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Transportation Problem is one of the models in the Linear Programming problem. The objective of this paper is to transport the item from the origin to the destination such that the transport cost should be minimized, and we should minimize the time of transportation. To achieve this, a new approach using harmonic mean method is proposed in this paper. In this proposed method transportation costs are represented by generalized trapezoidal fuzzy numbers. Further comparative studies of the new technique with other existing algorithms are established by means of sample problems.

Fuzzy Transportation Problem (FTP); Generalized Trapezoidal Fuzzy Number (GTrFN); Ranking function; Harmonic Mean Method (HMM).

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