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Solving Uncertain Linear Equations Systems Using Monte Carlo Simulation | ||
| Computational Sciences and Engineering | ||
| مقاله 20، دوره 3، شماره 2، آذر 2023، صفحه 315-323 اصل مقاله (274.68 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22124/cse.2025.29715.1092 | ||
| نویسنده | ||
| Mojtaba Moradi* | ||
| Department of Industrial Engineering, Faculty of Technology and Engineering East of Guilan,University of Guilan, Rudsar-Vajargah, Guilan, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Uncertainty theory؛ Monte Carlo simulation؛ Uncertain linear equations system | ||
| مراجع | ||
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[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. | ||
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