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A new approach to solving uncertain linear systems | ||
| Journal of Hyperstructures | ||
| دوره 12، شماره 1، شهریور 2023، صفحه 143-157 اصل مقاله (281.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2518 | ||
| نویسندگان | ||
| Behrouz Fathi Vajargah* 1؛ Mojteba Moradi2؛ Mohadese Shaghelani Loor1 | ||
| 1Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
| 2Department of Indus. Eng., Faculty of Technology and Eng., University of Guilan, Roudsar, Vajargah, Iran | ||
| چکیده | ||
| Uncertain linear systems are defined and these linear systems using Log-normal and Zigzag variables based on their in-verse distributions are investigated. A method for solving Log-normal and Zigzag linear uncertain devices has been designed and conditions for the existence of an uncertain linear has been pro-vided. To show the effectiveness of the proposed method, two ex-amples are given. Finally, a diet is presented to demonstrate the scientific importance of uncertain linear systems. | ||
| کلیدواژه‌ها | ||
| Linear system؛ Uncertainty theory؛ Log-normal variable of uncertainty؛ Zigzag variable of uncertainty | ||
| مراجع | ||
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[1] B. Liu, Why is there a need for uncertainty theory, Journal of Uncertain Systems,6(1) (2012), 3-10. [2] B. Liu, Uncertainty Theory (4nd ed.), Springer- Verlag, Berlin, 2015. [3] B. Liu, Uncertainty Theory: A branch of mathematics for modeling human uncertainty, Berlin: Springer- Verlag, Berlin, 2010. [4] B. Liu, Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems, 2(1) (2008), 3-16. [5] H. Minc, Non-negative Matrices, Wiley, New York, 1988. [6] Y. Zhu, Uncertain optimal control with application to a portfolio selection model, Cybernetics and Systems: An International Journal, 41(7) (2010), 535-547. [7] B. Liu, Some research problems in uncertainty theory, Journal of Uncertain Systems, 3(1) (2009), 3-10. [8] B. Li and Y. Zhu, Uncertain linear systems, Fuzzy Optimization and Decision Making, 14(2) (2015), 211-226. | ||
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