JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Some Properties of Complex Uncertain Process
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Some Properties of Complex Uncertain Process
You, Cuilian; Xiang, Na;
  PDF(new window)
 Abstract
Uncertainty appears not only in real quantities but also in complex quantities. Complex uncertain process is essentially a sequence of complex uncertain variables indexed by time. In order to describe complex uncertain process, a formal definition of complex uncertain distribution is given in this paper, as well as the concepts of independence and variance. In addition, some properties of complex uncertain integral are presented.
 Keywords
Complex Uncertain Process;Distribution;Independence;Variance;Integral;
 Language
English
 Cited by
 References
1.
Zadeh, L. A. (1965), Fuzzy sets, Information and Control, 8, 338-358. crossref(new window)

2.
Pawlak, Z. (1982), Rough sets, International Journal of Information and Computer Sciences, 11(5), 341-356. crossref(new window)

3.
Sugeno, M. (1974), Theory of fuzzy integrals and its applications, Ph.D. Dissertation, Tokyo Institute of Technology.

4.
Liu, B. and Liu, Y. K. (2002), Expected value of fuzzy variable and fuzzy expected value models, IEEE Transactions on Fuzzy Systems, 10(4), 445-450. crossref(new window)

5.
Liu, B. (2004), Uncertainty Theory, Springer-Verlag, Berlin.

6.
Liu, B. (2011), Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty, Springer-Verlag, Berlin.

7.
Liu, B. (2008), Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems, 2(1), 3-16.

8.
You, C. (2009), On the convergence of uncertain sequences, Mathematical and Computer Modelling, 49(3), 482-487. crossref(new window)

9.
Liu, B. (2009), Some research problems in uncertainty theory, Journal of Uncertain Systems, 3(1), 3-10.

10.
Yao, K. and Chen, X. (2013), A numerical method for solving uncertain differential equations, Journal of Intelligent and Fuzzy Systems, 25(3), 825-832.

11.
Liu, B. (2011), Uncertain logic for modeling human language, Journal of Uncertain Systems, 5(1), 3-20.

12.
Liu, B. (2009), Theory and Practice of Uncertain Programming, 2nd ed., Springer-Verlag, Berlin.

13.
Liu, B. and Chen, X. (2015), Uncertain multiobjective programming and uncertain goal programming, Journal of Uncertainty Analysis and Applications, 3(1), 1-8. crossref(new window)

14.
Chen, X. (2011), American option pricing formula for uncertain financial market, International Journal of Operations Research, 8(2), 32-37.

15.
Liu, B. (2007), Uncertainty Theory, 2nd ed., Springer-Verlag, Berlin.

16.
Peng, Z. and Iwamura, K. (2010), A sufficient and necessary condition of uncertainty distribution, Journal of Interdisciplinary Mathematics, 13(3), 277-285. crossref(new window)

17.
Peng, Z. (2013), Complex Uncertain Variable, Ph.D. Dissertation, Tsinghua University, http://orsc.edu.cn/online/120409.pdf.