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Fuzzy linear programming problem in which fuzzy numbers are triangular solved by fourier motzkin elimination method

Author(s)
C. KAVITHA Sathyabama Institute of Science and Technology, Department of Mathematics, Chennai, India
K. BHUVANESWARI Sathyabama Institute of Science and Technology, Department of Mathematics, Chennai, India
S. MAHESWARI Sathyabama Institute of Science and Technology, Department of Mathematics, Chennai, India
R. PARAMESWARI Sathyabama Institute of Science and Technology, Department of Mathematics, Chennai, India
PRIYA SHIRLEY MULLER Sathyabama Institute of Science and Technology, Department of Mathematics, Chennai, India
Abstract
The goal of this research is to investigate a method for solving a fuzzy linear problem using triangular fuzzy numbers. The Fuzzy Fourier-Motzkin elimination technique for triangular fuzzy number is proposed in this research work to address the fuzzy linear programming problem, which is based on the concept of bounds. If the objective function is non-linear and the constraints are all linear, this approach can be used to solve the problem. The approach solves systems of inequalities to find the best solution for the fuzzy linear programming problem using triangular fuzzy numbers. In comparison to the standard simplex method, the suggested methodology is more computationally efficient and easier to grasp. The approach is explored in depth and shown using a numerical illustration. The development of numerical techniques is prompted by the decomposition of a fuzzy based linear system into its equivalent crisp linear form, which can then be solved using Fourier-Motzkin methods is useful. The consistency of the fuzzy linear system using the given approach is checked. The approaches are novel and it is applied in a variety of scientific fields where ambiguity occurs.
Publication Details
Page(s) 3048-3055
DOI DOI not available
Published Journal: Journal of Theoretical and Applied Information Technology, Volume: 100, Issue: 9, Year: 2022

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Keywords
Triangular fuzzy number, Linear Inequalities, Optimal Solution., Fuzzy Linear Programming Problem, Fourier Motzkin Elimination Method
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