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

Author

Listed:
  • Amit Kumar

    (Thapar University)

  • Neetu

    (Thapar University)

  • Abhinav Bansal

    (Thapar University)

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.

Suggested Citation

  • Amit Kumar & Neetu & Abhinav Bansal, 2012. "A new computational method for solving fully fuzzy linear systems of triangular fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 4(1), pages 63-73, March.
    • Handle: RePEc:spr:fuzinf:v:4:y:2012:i:1:d:10.1007_s12543-012-0101-5
    DOI: 10.1007/s12543-012-0101-5
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    References listed on IDEAS

    as
    1. Xu-dong Sun & Si-zong Guo, 2009. "Solution to general fuzzy linear system and its necessary and sufficient condition," Fuzzy Information and Engineering, Springer, vol. 1(3), pages 317-327, September.
    2. Dehghan, Mehdi & Hashemi, Behnam & Ghatee, Mehdi, 2007. "Solution of the fully fuzzy linear systems using iterative techniques," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 316-336.
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