Title: Fuzzy multi-objective solid transportation problem: genetic algorithm-based solution approach

Authors: Shubha Agnihotri; Jayesh M. Dhodiya

Addresses: Department of Mathematics and Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India ' Department of Mathematics and Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India

Abstract: This article addresses the structure of the fuzzy multi-objective solid transportation problem (FMOSTP) under the aegis of a hybrid genetic algorithm. Here, solid transportation problems (STP) are three-dimensional transportation problems in the sense that the mode of transportation is taken into account along with demand and supply constraints. Furthermore, the data structure considered in this article is assumed to be fuzzy because of the argument that the crisp data, in principle, is nearly hypothetical, and for this reason, the theory of fuzzy numbers is employed to account for the inherent impreciseness/uncertainty of the underlying system. Against this backdrop, the authors propose a matrix-based stochastic algorithm that efficiently generates an initial population. In this connection, two STPs are also posed for illustration purposes and solved using a hybrid genetic algorithm. In addition, the obtained results are compared with the fuzzy programming technique (FPT).

Keywords: multi-objective solid transportation problem; fuzzy theory; fuzzy programming technique; FPT; genetic algorithm; hybrid GA.

DOI: 10.1504/IJMOR.2024.142121

International Journal of Mathematics in Operational Research, 2024 Vol.29 No.2, pp.271 - 290

Received: 04 Jul 2022
Accepted: 18 Feb 2023
Published online: 08 Oct 2024 *

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