Title: Optimising fully fuzzy interval integer transshipment problems

Authors: A. Akilbasha; G. Natarajan; P. Pandian

Addresses: Department of Mathematics, School of Advanced Sciences, VIT, Vellore-14, Tamil Nadu, India ' Department of Mathematics, School of Advanced Sciences, VIT, Vellore-14, Tamil Nadu, India ' Department of Mathematics, School of Advanced Sciences, VIT, Vellore-14, Tamil Nadu, India

Abstract: In this paper, we focus on solving fully fuzzy interval integer transshipment (FIIT) problems where the unit shipping costs, available supply capacities, and required destination demands are triangular fuzzy interval integers. An innovative method namely, back order sequence method has been developed for finding an optimal solution of the fully FIIT problem. The proposed method provides that the optimal values of decision variables and objective function value for the fully FIIT problem are fuzzy interval integers. A numerical example is presented to illustrate the solution procedure of optimising fully FIIT problems. The optimal solution to the transshipment problem by the proposed method can help the managers to take an appropriate decision regarding transshipments.

Keywords: interval; fuzzy set; fuzzy interval; transshipment problem; optimal solution; back order sequence method.

DOI: 10.1504/IJOR.2023.128540

International Journal of Operational Research, 2023 Vol.46 No.1, pp.1 - 19

Received: 20 Nov 2019
Accepted: 20 Feb 2020
Published online: 26 Jan 2023 *