University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 10 1 2021 06 01 Simulation of sample paths and distribution of liu integrals 73 85 2642 10.22098/jhs.2021.2642 EN Behrouz Fathi Vajargah Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran Sara Ghasemalipour Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran Maryam Doosti Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran Journal Article 2020 08 05 Uncertain process and uncertain integral are important contents of uncertainty theory. In this paper, we study some types<br />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. https://jhs.uma.ac.ir/article_2642_139650a26bc7e59f01e7d41f92b2ea0b.pdf