Geometric Mean Method to Solve Multi Objective Transportation Problem Under Fuzzy Environment
Khilendra Singh1, Sanjeev Rajan2

1Khilendra Singh*, Research Scholar, Hindu College, Moradabad.
2Dr. Sanjeev Rajan, Associate Professor, Department of Mathematics, Hindu College, Moradabad.
Manuscript received on February 10, 2020. | Revised Manuscript received on March 01, 2020. | Manuscript published on March 10, 2020. | PP: 1739-1744 | Volume-9 Issue-5, March 2020. | Retrieval Number: E2859039520/2020©BEIESP| DOI: 10.35940/ijitee.E2859.039520
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Abstract: Transportation problem is a very common problem for a businessman. Every businessman wants to reduce cost, time and distance of transportation. There are several methods available to solve the transportation problem with single objective but transportation problems are not always with single objective. To solve transportation problem with more than one objective is a typical task. In this paper we explored a new method to solve multi criteria transportation problem named as Geometric mean method to Solve Multi-objective Transportation Problem Under Fuzzy Environment. We took a problem of transportation with three objectives cost, time and distance. We converted objectives into membership values by using a membership function and then geometric mean of membership values is taken. We also used a procedure to find a pareto optimal solution. Our method gives the better values of objectives than other methods. Two numerical examples are given to illustrate the method comparison with some existing methods is also made. 
Keywords: Multicriteria Distribution Problem, Membership Function, Geometric mean, Fuzzy environment.
Scope of the Article: Fuzzy logics