Solving Uncertain Linear Equations Systems Using Monte Carlo Simulation

Moradi, Mojtaba

doi:10.22124/cse.2025.29715.1092

Document Type : Original Article

Author

Mojtaba Moradi

Department of Industrial Engineering, Faculty of Technology and Engineering East of Guilan,University of Guilan, Rudsar-Vajargah, Guilan, Iran

https://doi.org/10.22124/cse.2025.29715.1092

Abstract

This paper introduces a novel approach for solving uncertain linear equations systems through Monte Carlo simulation. The study delves into the uncertainty distributions of variables within a linear equation system, establishing a fresh concept for solving such systems. The proposed method utilizes both inverse uncertainty distribution techniques and Monte Carlo simulation. Through examples, the paper illustrates the efficacy of this approach in effectively solving linear equation systems.

Keywords

References

[1] Liu, B. (2009). Some research problems in uncertainty theory. Journal of Uncertain systems, 3(1), 3-10.

[2] Liu, B. (2007). Uncertainty theory (2nd ed). Springer Berlin.

[3] Li, B. Zhu, Y. (2015). Uncertain linear systems. Fuzzy Optim Decis Making, 14(2), 211-226.

[4] Kleijnen, J. P. (1974). Statistical Techniques in Simulation, Part I. Marcel Dekker, Inc., New York, 1, 75.

[5] Liu, B. (2008). Fuzzy process, hybrid process and uncertain process. Journal of Uncertain systems, 2(1), 3-16.

[6] Liu, B. (2010). Uncertainty Theory: A branch of mathematics for modeling human uncertainty, Berlin: Springer.

[7] Liu, B. (2012). Why is there a need for uncertainty theory. Journal of Uncertain Systems, 6(1), 3-10.

[8] Zhu, Y. (2010). Uncertain optimal control with application to a portfolio selection model. Cybernetics and Systems: An International Journal, 41(7), 535-547.

Computational Sciences and Engineering

Solving Uncertain Linear Equations Systems Using Monte Carlo Simulation

References

References

Volume 3, Issue 2
September 2023
Pages 315-323

Solving Uncertain Linear Equations Systems Using Monte Carlo Simulation

References

References

Volume 3, Issue 2September 2023Pages 315-323

Volume 3, Issue 2
September 2023
Pages 315-323