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