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A method for solving fully fuzzy linear system with trapezoidal fuzzy numbers

2010/01/25 by Amit Kumar, Kumar, A., A. Bansal +3
Decision Sciences · Engineering · Mathematics · #Fuzzy Systems and Optimization #Multi-Criteria Decision Making #Optimization and Mathematical Programming

paper · doi:10.82521/ijo.2012.1018936

openalex publication_date 2010/01/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/07

Abstract

Different methods have been proposed for finding the non-negative solution offully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzycoefficients involving fuzzy variables. To the best of our knowledge, there isno method in the literature for finding the non-negative solution of a FFLSwithout any restriction on the coefficient matrix. In this paper a newcomputational method is proposed to solve FFLS without any restriction on thecoefficient matrix by representing all the parameters as trapezoidal fuzzynumbers.

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