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Monte Carlo method for the real and complex fuzzy system of linear algebraic equations

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Abstract

In this paper, we apply the Monte Carlo method to solve the real and complex fuzzy system of linear algebraic equations via new techniques. At first, we determine the specified and simpler computing condition for convergence of the Monte Carlo method using Hadamard product related to select the transition probability matrix. Then, we employ the new strategy based on the exclusive characteristic of the Monte Carlo method to find the solution of the real and complex fuzzy system of linear algebraic equations. Finally, some numerical examples are proposed to demonstrate the validity and efficiency of the discussed theoretical concepts.

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Funding

This study was funded by university of Guilan (Grant No. 2147483647).

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Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box: 41335-19141, Rasht, Iran

    Behrouz Fathi-Vajargah

  2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box: 41335-19141, Rasht, Iran

    Zeinab Hassanzadeh

Authors
  1. Behrouz Fathi-Vajargah
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  2. Zeinab Hassanzadeh
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Correspondence to Zeinab Hassanzadeh.

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Conflict of interest

Author Behrouz Fathi-Vajargah has received research Grants from university of Guilan. Author Zeinab Hassanzadeh declares that she has no conflict of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by V. Loia.

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Fathi-Vajargah, B., Hassanzadeh, Z. Monte Carlo method for the real and complex fuzzy system of linear algebraic equations. Soft Comput 24, 1255–1270 (2020). https://doi.org/10.1007/s00500-019-03960-1

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  • DOI: https://doi.org/10.1007/s00500-019-03960-1

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