Matrix Maxima Method to Solve Multi-objective Transportation Problem with a Pareto Optimality Criteria
Khilendra Singh, Sanjeev Rajan2
1Khilendra Singh, Research Scholar, Hindu College, Moradabad.
2Dr. Sanjeev Rajan, Associate Professor, Deptt. of Mathematics, Hindu College, Moradabad.
Manuscript received on 26 August 2019. | Revised Manuscript received on 08 September 2019. | Manuscript published on 30 September 2019. | PP: 1929-1932 | Volume-8 Issue-11, September 2019. | Retrieval Number: K21340981119/2019©BEIESP | DOI: 10.35940/ijitee.K2134.0981119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper we proposed a new method (Matrix Maxima Method) using Geometric mean approach to solve multiobjective transportation problem with a Pareto Optimality Criteria. Fuzzy membership function is used to convert objectives into membership values and then we take Geomertic mean of membership values. We used a different criteria to find Pareto Optimal Solution. This is an easy and fast method to find the Pareto Optimal solution. The method is illustrated by numerical examples. The result is compared with some other available methods in the literature.
Keywords: Multiobjective transportation problem (MOTP), Fuzzy membership function, Matrix Maxima method, Geometric mean.
Scope of the Article: