Title: Multi-goal multi-product fuzzy solid transportation problem via goal programming technique

Authors: Gollapudi Prathyusha; K.N. Udaya Kumar; G.A. Vatsala

Addresses: Department of Mathematics, SoAS, REVA University, Bangalore, India ' Department of Mathematics, SoAS, REVA University, Bangalore, India ' Department of Mathematics, Dayananda Sagar Academy of Technology and Management, Bangalore, India

Abstract: This paper investigates a multi-goal multi-product solid transportation problem (MGMPSTP) with fuzzy coefficient variables for the objective functions and, therefore, the constraints under linear and nonlinear membership functions. The primary objective is to analyse the multi-goal multi-product fuzzy solid transportation problem (MGMPFSTP) using the goal programming (GP) technique through the membership functions and compare the results among the compromise solutions to obtain an optimal compromise solution of multi-objectives. The uncertain cost coefficients of the fuzzy numbers are initially defuzzified to the equivalent crisp MGMPSTP using the α-cut method. Finally, a numerical illustration has been examined to support the tactic.

Keywords: goal programming; fuzzy solid transportation problem; α-cut method; triangular fuzzy numbers; trapezoidal fuzzy numbers.

DOI: 10.1504/IJMOR.2024.138059

International Journal of Mathematics in Operational Research, 2024 Vol.27 No.3, pp.354 - 376

Received: 09 Jan 2023
Accepted: 14 Jan 2023
Published online: 18 Apr 2024 *

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