Title: Multi-objective fuzzy transportation problem with fuzzy decision variables - NSGA-II approach

Authors: Admasu Tadesse; Srikumar Acharya; Manoranjan Sahoo

Addresses: Department of Mathematics, KIIT University, Bhubaneswar, 751024, India ' Department of Mathematics, KIIT University, Bhubaneswar, 751024, India ' Department of Mathematics, KIIT University, Bhubaneswar, 751024, India

Abstract: In this paper, we consider a multi-objective fuzzy transportation problem with a fuzzy decision variable, with main objective and constraint parameters (supply and demand) considered to be triangular fuzzy numbers. Ranking function is used to convert fuzziness of objective and constraint functions into their equivalent crisp form. The crisp multi-objective transportation problem is solved using the non-dominated sorting genetic algorithm-II (NSGA-II), which is coded in MATLAB. A case study is provided to illustrate the methodology.

Keywords: multi-objective programming; triangular fuzzy numbers; fuzzy transportation problem; fuzzy decision variables; ranking function; non-dominated sorting genetic algorithm-II; NSGA-II.

DOI: 10.1504/IJISE.2023.134714

International Journal of Industrial and Systems Engineering, 2023 Vol.45 No.3, pp.398 - 415

Received: 28 Aug 2021
Accepted: 18 Dec 2021
Published online: 08 Nov 2023 *

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