Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Newly Proposed Matrix Reduction technique Under Mean Ranking Method for Solving Trapezoidal Fuzzy Transportation problems Under Fuzzy Environment

Version 1 : Received: 20 June 2021 / Approved: 23 June 2021 / Online: 23 June 2021 (11:17:57 CEST)

How to cite: Ashale, T.R. Newly Proposed Matrix Reduction technique Under Mean Ranking Method for Solving Trapezoidal Fuzzy Transportation problems Under Fuzzy Environment. Preprints 2021, 2021060573 (doi: 10.20944/preprints202106.0573.v1). Ashale, T.R. Newly Proposed Matrix Reduction technique Under Mean Ranking Method for Solving Trapezoidal Fuzzy Transportation problems Under Fuzzy Environment. Preprints 2021, 2021060573 (doi: 10.20944/preprints202106.0573.v1).

Abstract

In this paper, improved matrix Reduction Method is proposed for the solution of fuzzy transportation problem in which all inputs are taken as fuzzy numbers. Since ranking fuzzy number is important tool in decision making, Fuzzy trapezoidal number is converting in to crisp set by using Mean techniques and solved by proposed method for fuzzy transportation problem. We give suitable numerical example for unbalanced and compare the optimal value with other techniques. The Result shows that the optimum profit of transportation problem using proposed technique under robust ranking method is better than the other method. Novelty: The numerical illustration demonstrates that the new projected method for managing the transportation problems on fuzzy algorithms.

Keywords

Mean; Mean of Trapezoidal Fuzzy Numbers; Trapezoidal Fuzzy Numbers; Transportation Problem; and Fuzzy Transportation Problem

Subject

MATHEMATICS & COMPUTER SCIENCE, Artificial Intelligence & Robotics

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