A new computational method for solving fully fuzzy linear systems of triangular fuzzy numbers

Amit Kumar (), Neetu () and Abhinav Bansal ()
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Amit Kumar: Thapar University
Neetu: Thapar University
Abhinav Bansal: Thapar University

Fuzzy Information and Engineering, 2012, vol. 4, issue 1, 63-73

Abstract: Abstract In this paper, a new computational method is proposed to solve fully fuzzy linear systems (FFLS) of triangular fuzzy numbers based on the computation of row reduced echelon form for solving the crisp linear system of equations. The method is illustrated by solving three numerical examples. As compared to the existing methods, the proposed method is easy to understand and to apply for solving FFLS occurring in real life situations and scientific applications. The primary advantage of the proposed method is that, by using it, the consistency of the FFLS can be checked easily and nature of the solutions of an FFLS can also be obtained which may be unique or infinite.

Keywords: Fully fuzzy linear systems; Row reduced echelon form; Triangular fuzzy numbers (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s12543-012-0101-5

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