A New Fast Method for Solving Fuzzy Interval Multi-Objective Linear Fractional Programming Problems (FIMLFPP)

Abstract

Optimization theory seeks solutions to daily problems. The Linear Fractional Programming Problem is a significant challenge in this paradigm. Goals can frequently be expressed as a ratio of two different goals in real-world scenarios, such as financial decision-making and production planning. Fuzzy sets are a reasonable way to express variables and parameters in these situations to improve their ability to replicate real-world circumstances. The goal of this study is to solve fuzzy interval linear fractional programming with multi-objective (FIMOLFP) issues by developing a new strategy that depends on Sidhu, S.K., Kumar, A., & Appadoo, S.S.'s center of close interval approximation to transform the FIMOLFP issue into the linear fractional programming with multi-objective (MOLFP) problem. In the FIMOLFP problem, fuzzy parameters are all transformed into precise values in this way. After that, we apply our suggested strategy to convert the MOLFP issue into a linear fractional programming with a single objective (LFP) problem. Then this (LFP) problem is used to convert the MOLFP problem to the LP problem. Finally, the regular simplex method is used to solve the single-objective LP problem, which results in an effective solution to the original FIMOLFP problem. The effectiveness of our proposed method is illustrated by some numerical instances, and a comparison between our method and previous methods and the reputable current method is made for each example