A simulation algorithm with uncertain random variables

Authors

  • Hasan Dalman Gelisim University

DOI:

https://doi.org/10.11121/ijocta.01.2018.00601

Keywords:

alpha optimistic value, alpha pessimistic value, Uncertain random variables, Uncertainty theory

Abstract

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 presented to approximate the chance distribution using  pessimistic value and  optimistic value. An example is also given to illustrate how to use the presented simulation algorithm.

Downloads

Download data is not yet available.

Author Biography

Hasan Dalman, Gelisim University

Hasan Dalman received the Ph.D. degree in Mathematical Engineering from Yildiz Technical University in 2015. He is currently assistant professor in the Department of Computer Engineering, Istanbul Gelisim University, Turkey. His current research interests include fuzzy systems, uncertainty theory and mathematical optimization.

References

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., Springer-Verlag, 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 edge-connectivity 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.

Downloads

Published

2018-04-25
CITATION
DOI: 10.11121/ijocta.01.2018.00601
Published: 2018-04-25

How to Cite

Dalman, H. (2018). A simulation algorithm with uncertain random variables. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 8(2), 195–200. https://doi.org/10.11121/ijocta.01.2018.00601

Issue

Section

Research Articles