Title: Solving triangular fully fuzzy linear fractional programming problem via parametric approach

Authors: Rebaz Bahram Mustafa; Nejamddin Abdulla Sulaiman

Addresses: Department of Management Information System, Erbil Technical Administrative Institute, Erbil Polytechnic University, Erbil, Iraq ' Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq

Abstract: In this paper, the fully fuzzy linear fractional programming (FFLFP) problem is considered. The important point of this study is to illustrate an adapted method of parametric optimisation, which is a repeat operation technique that can be used to find an optimal solution for any linear fractional optimisation problem of any coefficient, such as an ordinary interval, rough interval, or fuzzy number. Here, the coefficients of the objective function, constraints, and decision variables are triangular fuzzy numbers (TrFNs), and the FFLFP problem is converted into a comparable deterministic three-linear fractional programming (LFP) problem under some assumptions. However, it can be utilised for the trapezoidal fuzzy number linear fractional programming problem. Finally, the suggested method produces the best or optimum solutions. A test numerical example of a triangular fuzzy linear fractional programming problem is given to present the performance of the procedure.

Keywords: fully fuzzy linear fractional programming; FFLFP; linear fractional programming; LFP; parametric approach; triangular fuzzy number; TrFN.

DOI: 10.1504/IJMOR.2024.141474

International Journal of Mathematics in Operational Research, 2024 Vol.29 No.1, pp.94 - 108

Received: 01 Jul 2022
Accepted: 18 Feb 2023
Published online: 16 Sep 2024 *

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