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

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Fuzzy Information and Engineering

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.

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Authors and Affiliations

  1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India

    Amit Kumar &  Neetu

  2. Computer Science and Engineering Department, Thapar University, Patiala, 147004, India

    Abhinav Bansal

Authors
  1. Amit Kumar
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  2. Neetu
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  3. Abhinav Bansal
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Correspondence to Amit Kumar, Neetu or Abhinav Bansal.

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Kumar, A., Neetu & Bansal, A. A new computational method for solving fully fuzzy linear systems of triangular fuzzy numbers. Fuzzy Inf. Eng. 4, 63–73 (2012). https://doi.org/10.1007/s12543-012-0101-5

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  • DOI: https://doi.org/10.1007/s12543-012-0101-5

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