Title: A revisit of the proposed model for solving fuzzy linear fractional programming problem

Authors: Nemat Allah Taghi-Nezhad

Addresses: Department of Mathematics, Faculty of Basic Science, Gonbad Kavous University, Gonbad Kavous, Iran

Abstract: Linear fractional programming (LFP) problem is used worldwide in solving real world problems. In real life situations the parameters of the problem are imprecise instead of fixed real numbers. So, a procedure for modelling these impreciseness in mathematical form is required. Fuzzy set theory is a best tool to deal with such situations. In this paper LFP problem with fuzzy parameters are studied. A fuzzy linear fractional programming (FLFP) problem is considered by Das et al. (2018) where a simple ranking approach between two triangular fuzzy numbers is provided. Then, in their study a tri-objective LFP problem is formulated to calculate the upper, middle and the lower bounds of the fuzzy optimal value. There are some errors and shortcomings in Das et al. method. Hence, in this study errors and shortcomings of Das et al. method are pointed out. Also, to overcome these errors, a simple method is presented to obtain optimal solution and fuzzy optimal value of the objective function. Moreover, by solving some numerical examples these errors are demonstrated and using the new proposed algorithm the correct optimal solution and the fuzzy optimal value of objective function are obtained.

Keywords: linear fractional programing problem; fuzzy number; fuzzy linear fractional programing problem; fuzzy optimal value.

DOI: 10.1504/IJMOR.2022.127051

International Journal of Mathematics in Operational Research, 2022 Vol.23 No.2, pp.215 - 231

Received: 24 Jun 2021
Accepted: 29 Jun 2021
Published online: 21 Nov 2022 *

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