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SOME NEW COMPUTATIONAL METHODS TO SOLVE DUAL FULLY FUZZY LINEAR SYSTEM OF ARBITRARY TRIANGULAR FUZZY NUMBERS

Amit Kumar (), Babbar Neetu () and Abhinav Bansal ()
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Amit Kumar: School of Mathematics and Computer Applications, Thapar University, Patiala-147 004, India
Babbar Neetu: School of Mathematics and Computer Applications, Thapar University, Patiala-147 004, India
Abhinav Bansal: Computer Science and Engineering Department, Thapar University, Patiala-147 004, India

New Mathematics and Natural Computation (NMNC), 2013, vol. 09, issue 01, 13-26

Abstract: In this paper, we discuss two new computational techniques for solving a generalized fully fuzzy linear system (FFLS) with arbitrary triangular fuzzy numbers(m,α,β). The methods eliminate the non-negative restriction on the fuzzy coefficient matrix that has been considered by almost every method in the literature and relies on the decomposition of the dual FFLS into a crisp linear system that can be further solved by a variety of classical methods. To illustrate the proposed methods, numerical examples are solved and the obtained results are discussed. The methods pose several advantages over the existing methods to solve a simple or dual FFLS.

Keywords: Fully fuzzy linear system (FFLS); triangular fuzzy numbers; fuzzy matrices (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S1793005713500026

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