Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers

Authors

  • Kirtiwant P Ghadle Associate Professor, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (MS), India
  • Priyanka A Pathade Research Scholar, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (MS), India

DOI:

https://doi.org/10.18488/journal.24/2016.5.2/24.2.131.137

Abstract

A fuzzy transportation problem (FTP) includes cost, supply and demand of transportation problems. Its numbers are fuzzy numbers. Fuzzy transportation problem works to reduce transportation cost of some commodities through a capacitate network. Present research paper points out a technique with an alpha cut, optimal solution for solving transportation problem. We suggest a technique to find the fuzzy optimal solution on scales of transportation problem and propose a new hexagonal representation of fuzzy numbers. In general, the comparison of balanced fuzzy transportation problem (BFTP) and unbalanced fuzzy transportation problem (UFTP) shows that the optimal transportation cost of UFTP is less than BFTP.

Keywords:

Fuzzy transportation problem, Hexagonal fuzzy numbers, α- Optimal solution, Robust ranking method

Abstract Video

Published

2016-10-21

How to Cite

Ghadle, K. P., & Pathade, P. A. (2016). Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers. International Journal of Mathematical Research, 5(2), 131–137. https://doi.org/10.18488/journal.24/2016.5.2/24.2.131.137

Issue

Vol. 5 No. 2 (2016)

Section

Articles