Hasan DALMAN

A simulation algorithm with uncertain random variables

In many situations, uncertainty and randomness concurrently occur in a system.Thus this paper presents a new concept for uncertain random variable.Also, a simulation algorithm based on uncertain random variables is presentedto approximate the chance distribution using pessimistic value and optimisticvalue. An example is also given to illustrate how to use the presented simulationalgorithm.

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Liu, Y. (2013). Uncertain random variables: A mixture of uncertainty and randomness. Soft Computing, 17(4), 625-634.
Liu, B. (2007). Uncertainty theory, 2nd ed., SpringerVerlag, Berlin, Germany.
Gao, J. (2013). Uncertain bimatrix game with applications. Fuzzy Optimization and Decision Making, 12(1), 65-78.
Yang, X., and Gao, J. (2016). Linearquadratic uncertain differential game with application to resource extraction problem. IEEE Transactions on Fuzzy Systems, 24(4), 819-826.
Gao, Y., and Qin, Z. (2016) On computing the edgeconnectivity of an uncertain graph. IEEE Transactions on Fuzzy Systems, 24(4), 981-991.
Dalman, H. (2018). Uncertain programming model for multi-item solid transportation problem. International Journal of Machine Learning and Cybernetics, 9(4), 559-567.
Dalman, H. (2018). Uncertain random programming models for fixed charge multi-item solid transportation problem, New Trends in Mathematical Sciences, 6(1), 37-51.
Liu, B. (2014). Uncertain random graph and uncertain random network. Journal of Uncertain Systems, 8(1), 3-12.
Zhou, J., Yang, F., and Wang, K. (2014). Multiobjective optimization in uncertain random environments. Fuzzy Optimization and Decision Making, 13(4), 397-413.
Ahmadzade, H., Gao, R., and Zarei, H. (2016). Partial quadratic entropy of uncertain random variables. Journal of Uncertain Systems, 10(4), 292-301.
Ke, H., Liu, H., and Tian, G. (2015). An uncertain random programming model for project scheduling problem. International Journal of Intelligent Systems, 30(1), 66-79.
Sheng, Y., and Gao, Y. (2016). Shortest path problem of uncertain random network. Computers and Industrial Engineering, 99, 97-105.
Liu, B. (2009). Some research problems in uncertainty theory. Journal of Uncertain Systems, 3(1), 3-10.
Liu, B. (2010). Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty, Springer-Verlag, Berlin, Germany.
Liu, Y. (2013). Uncertain random programming with applications. Fuzzy Optimization and Decision Making, 12(2), 153-169.