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

Gollapudi Prathyusha, K.N. Udaya Kumar and G.A. Vatsala

International Journal of Mathematics in Operational Research, 2024, vol. 27, issue 3, 354-376

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. (search for similar items in EconPapers)
Date: 2024
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