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Fathi Vajargah, Behrouz, Ghasemalipour, Sara, Doosti, Maryam. (1400). Simulation of sample paths and distribution of liu integrals. سامانه مدیریت نشریات علمی, 10(1), 73-85. doi: 10.22098/jhs.2021.2642
Behrouz Fathi Vajargah; Sara Ghasemalipour; Maryam Doosti. "Simulation of sample paths and distribution of liu integrals". سامانه مدیریت نشریات علمی, 10, 1, 1400, 73-85. doi: 10.22098/jhs.2021.2642
Fathi Vajargah, Behrouz, Ghasemalipour, Sara, Doosti, Maryam. (1400). 'Simulation of sample paths and distribution of liu integrals', سامانه مدیریت نشریات علمی, 10(1), pp. 73-85. doi: 10.22098/jhs.2021.2642
Fathi Vajargah, Behrouz, Ghasemalipour, Sara, Doosti, Maryam. Simulation of sample paths and distribution of liu integrals. سامانه مدیریت نشریات علمی, 1400; 10(1): 73-85. doi: 10.22098/jhs.2021.2642

Simulation of sample paths and distribution of liu integrals

Journal of Hyperstructures
دوره 10، شماره 1، شهریور 2021، صفحه 73-85    اصل مقاله (537.81 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2021.2642
نویسندگان
Behrouz Fathi Vajargah* 1؛ Sara Ghasemalipour2؛ Maryam Doosti1
1Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
2Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
چکیده
Uncertain process and uncertain integral are important contents of uncertainty theory. In this paper, we study some types
of uncertain integral named Liu integral. Here, we obtained the analytical solution of Liu integral by integration methods. As a new work, we simulated the sample paths and distribution of Liu integral. The simulation method run on some new examples and results are shown.
کلیدواژه‌ها
Liu process؛ Liu integral؛ Sample path؛ Simulation method؛ Partitioned rand
مراجع
[1] B. Fathi-Vajargah, A. E. Chechaglou, Optimal Halton sequence via inversive scrambling, Communications in Statistics -Simulation and Computation, 422 (2013), 476-484.
[2] B. Fathi-Vajargah, R. J. Moghtader, P-quasi random number generators for obtaining stochastic integrals, Advances in Information Technology and Management (AITM), (2012), 207-215.
[3] B. Liu, Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems, 2 (2008), 3-16.
[4] B. Liu, Some research problems in uncertainty theory, Journal of Uncertain Systems, 3 (2009), 3-10.
[5] B. Liu, Uncertainty theory, 2nd ed., Springer-Verlag, Berlin, (2007).
[6] B. Liu, Uncertainty theory: A Branch of Mathematics for Modeling Human Uncertainty, Springer-Verlag, Berlin, (2010a).
[7] C. You and N. Xiang, Some properties of uncertain integral, Iranian Journal of Fuzzy Systems, 15 (2018), 133-142.
[8] X. Chen and B. Liu, Existence and uniqueness theorem for uncertain di erential equations, Fuzzy Optimization and Decision Making, 9 (2010), 69-81.

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