Abstract
In this article, we address a fully fuzzy triangular linear fractional programming (FFLFP) problem under the condition that all the parameters and decision variables are characterized by triangular fuzzy numbers. Utilizing the computation of triangular fuzzy numbers and Lexicographic order (LO), the FFLFP problem is changed over to a multi-objective function. Consequently, the problem is changed into a multi-objective crisp problem. This paper outfits another idea for diminishing the computational complexity, in any case without losing its viability crisp LFP issues. Lead from real-life problems, a couple of mathematical models are considered to survey the legitimacy, usefulness and applicability of our method. Finally, some mathematical analysis along with one case study is given to show the novel strategies are superior to the current techniques.
Highlights
One of the most incredibly used methods in real world problems consistent with empirical surveys is linear fractional programming (LFP) problem
Das et al [16]. proposed a technique for taking care of the fully fuzzy triangular linear fractional programming (FFLFP) issue into a multi-objective LFP (MOLFP) issue by utilizing lexicographic requesting, which is considered as a definite ideal arrangement of the FFLFP issue viable
Das et al.’s [15] have proposed another method to solve FFLFP problem based on multi-objective LFP problem
Summary
One of the most incredibly used methods in real world problems consistent with empirical surveys is linear fractional programming (LFP) problem. Proposed a technique for taking care of the FFLFP issue into a multi-objective LFP (MOLFP) issue by utilizing lexicographic requesting, which is considered as a definite ideal arrangement of the FFLFP issue viable. Das et al.’s [15] have proposed another method to solve FFLFP problem based on multi-objective LFP problem. Multi-target fuzzy linear fractional programming (MOFLFP) issue is concerned with simultaneous optimization of multiple objective functions, where every target is in the form of a FLFP problem. We present another strategy to tackle FFLFP issues using lexicographic technique ordering triangular fuzzy numbers in which all the parameters are non-negative triangular fuzzy umbers. The LFP issue is changed over into crisp LP problem by using change strategy and that can be solved with the conventional simplex techniques. A genuine issue is illuminated by the proposed strategy. We show that the proposed method is very simple and computationally more effective than existing strategies ordinarily utilized in the writing
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