Title: Tetracontatetragonal fuzzy number with application of fuzzy transportation problem

Authors: Sudha Rana; Deepak Kumar; Anita Kumari

Addresses: Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital, India ' Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital, India ' Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital, India

Abstract: The objective of this paper is to introduce a new fuzzy number with 44 points called as tetracontatetragonal fuzzy number. Here, we derived a new ranking method for tetracontatetragonal fuzzy numbers. In this research work, we have investigated the results by implementing tetracontatetragonal fuzzy number to an unbalanced fuzzy transportation problem and we used four methods like Vogel's approximation method (VAM), Russel's approximation method (RAM), least cost's approximation method, and Modi's approximation method, to investigate the minimum cost transportation problem using tetracontatetragonal fuzzy numbers. We also calculated the minimum cost from a set of origins to a set of destinations in fuzzy transportation problem.

Keywords: fuzzy number; tetracontatetragonal fuzzy number; crisp values; ranking function; fuzzy transportation problem; Russel's approximation method; RAM; Vogel's approximation method; VAM.

DOI: 10.1504/IJMOR.2024.142115

International Journal of Mathematics in Operational Research, 2024 Vol.29 No.2, pp.214 - 233

Received: 06 May 2023
Accepted: 09 May 2023
Published online: 08 Oct 2024 *

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