Taghi-Nezhad N, Mahdizadeh E, Ghaznavi M. A Standardization-Based Approach for Solving Fully Fuzzy Fractional Linear Programming Problems and its Application in the Production of Wooden Products. jor 2024; 21 (2) :1-16
URL:
http://jamlu.liau.ac.ir/article-1-2215-en.html
Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad Kavous, Iran , ntaghinezhad@gmail.com
Abstract: (846 Views)
Currently, there are many methods to solve the linear fractional programming problem under non-negative fuzzy variables. Due to the flaws and limitations of these methods, they cannot be used to solve the fully fuzzy fractional linear programming (FFLFP) problem in which all variables and parameters are fuzzy. This paper intends to propose an efficient method for the FFLFP problem with trapezoidal fuzzy numbers, which converts unequal constraints into equal constraints by adding auxiliary variables and solves the problem without using ranking. Finally, the proposed method will be compared with other methods by implementing it practically in some examples and the degree of desirability of this method will be measured in terms of the simplicity of operation and the accuracy of the results. Also, a real example of a wood producing company will also be examined and will be resolved.
Type of Study:
Research |
Subject:
Special Received: 2023/12/11 | Accepted: 2024/05/5 | Published: 2024/06/21