Fuzzy random events in incomplete probability models

Article type: Research Article

Authors: Torabi, H. | Davvaz, B. | Behboodian, J.

Affiliations: Department of Mathematics, Yazd University, Yazd, Iran. E-mail: htorabi@yazduni.ac.ir

Note: [] Corresponding author

Abstract: Fuzzy set theory has been well developed and applied in a wide variety of real problems. In some probabilistic problems, there does not exist complete information about the probability model. In this paper, using fuzzy rough set theory, we obtain a lower and upper probability for an arbitrary fuzzy random event and then we introduce a measure for inclusivity of fuzzy events.

Keywords: Rough set, fuzzy set, probability space, random variable

Journal: Journal of Intelligent & Fuzzy Systems, vol. 17, no. 2, pp. 183-188, 2006