Solving Fully Fuzzy Linear Programming Problem using Triangular Fuzzy Number by Gauss Jordan Elimination Method

Author(s)	S.SARAVANAN, P.ELUMALAI
Country	India
Abstract	In this paper presents a method for solving Fully Fuzzy Linear Programming Problems (FFLPP) using triangular fuzzy numbers (TFNs) and the Gauss-Jordan Elimination Method. The fuzzy coefficients in the constraints and objective function are represented as TFNs, capturing the uncertainty inherent in real-world data. The method involves defuzzification of the fuzzy numbers to convert them into crisp values, followed by the application of Gauss-Jordan elimination to solve the resulting system of equations. A numerical example demonstrates the effectiveness of this approach in providing optimal solutions for decision-making problems under uncertainty.
Keywords	Fully fuzzy linear systems, triangular fuzzy numbers, elementary row operations
Field	Mathematics
Published In	Volume 7, Issue 1, January-February 2025
Published On	2025-01-05
DOI	https://doi.org/10.36948/ijfmr.2025.v07i01.34492

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