A Proposed Technique to Resolve Transportation Problem by Trapezoidal Fuzzy Numbers

R nbsp Srinivasan nbsp   nbsp; nbsp N nbsp Karthikeyan       nbsp   nbsp; nbsp A nbsp Jayaraja nbsp

doi:10.17485/IJST/v14i20.645

Article

A Proposed Technique to Resolve Transportation Problem by Trapezoidal Fuzzy Numbers

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v14i20.645

Year: 2021, Volume: 14, Issue: 20, Pages: 1642-1646

Original Article

A Proposed Technique to Resolve Transportation Problem by Trapezoidal Fuzzy Numbers

R Srinivasan ¹, N Karthikeyan✉ ², A Jayaraja ³

1 Department of Ancient Science, Tamil University, Thanjavur, India

2 Department of Mathematics, Kongunadu College of Engineering and Technology, Trichy, India

3 Department of Mathematics, K. Ramakrishnan College of Engineering, Trichy, India

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To find the best optimal solution of transportation problem in fuzzy environment Method: We proposed a new method to find the optimal solution. Findings: This study introduces a Median method. By applying the same we transform the fuzzy transportation problem to an exquisite valued one and subsequently into a new proposed process to uncover the fuzzy realistic solution. Also, we find a minimum transportation cost. Novelty: The numerical illustration demonstrates that the new projected method for managing the transportation problems on fuzzy algorithms.

AMS Mathematics Subject Classification (2010): 90C08, 90C90

Keywords

Median, Median of Trapezoidal Fuzzy Numbers, Median of Triangular Fuzzy Numbers, Trapezoidal Fuzzy Numbers, Transportation Problem, and Fuzzy Transportation Problem

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Copyright

© 2021 Srinivasan et al.This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)