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A canonical representation for the solution of fuzzy linear system and fuzzy linear programming problem

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Abstract

In this paper first, we find a canonical symmetrical trapezoidal(triangular) for the solution of the fuzzy linear systemA~x = ~b, where the elements inA and ~b are crisp and arbitrary fuzzy numbers, respectively. Then, a model for fuzzy linear programming problem with fuzzy variables (FLPFV), in which, the right hand side of constraints are arbitrary numbers, and coefficients of the objective function and constraint matrix are regarded as crisp numbers, is discussed. A numerical procedure for calculating a canonical symmetrical trapezoidal representation for the solution of fuzzy linear system and the optimal solution of FLPFV, (if there exist) is proposed. Several examples illustrate these ideas.

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Authors and Affiliations

  1. Department of Mathematics, Sistan and Baluchestan University, Zahedan, Iran

    Hassan Mishmast Nehi

  2. Faculty of Mathematics and Computer Sciences, Kerman University, Kerman, Iran

    Hamid Reza Maleki & Mashaalah Mashinchi

Authors
  1. Hassan Mishmast Nehi
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  2. Hamid Reza Maleki
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  3. Mashaalah Mashinchi
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Correspondence to Hassan Mishmast Nehi.

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Nehi, H.M., Maleki, H.R. & Mashinchi, M. A canonical representation for the solution of fuzzy linear system and fuzzy linear programming problem. J. Appl. Math. Comput. 20, 345–354 (2006). https://doi.org/10.1007/BF02831943

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  • DOI: https://doi.org/10.1007/BF02831943

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