Fuzzy random events in incomplete probability models

Authors:
H. Torabi;B. Davvaz;J. Behboodian
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran. E-mail: htorabi@yazduni.ac.ir;Department of Mathematics, Yazd University, Yazd, Iran. E-mail: htorabi@yazduni.ac.ir;Department of Mathematics, Yazd University, Yazd, Iran. E-mail: htorabi@yazduni.ac.ir
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2006

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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.