Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
The 43rd ISCIE International Symposium on Stochastic Systems Theory and Its Applications (Oct. 2011, Shiga)
Probabilistic Approach for Vague Perceptions of Complex Phenomena
Tokuo Fukuda
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2012 Volume 2012 Pages 101-106

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Abstract
In this paper, the author investigates a new class of fuzzy random sets as the vague perception of a crisp phenomenon or a crisp random phenomenon. First, considering that the vague perception of a crisp phenomenon fluctuates slightly but randomly by the state of a capricious person's mind, a new class of fuzzy random set is introduced. Secondly, the fuzzy random set is generalized as the vague perception of a crisp random phenomenon. The expectations of introduced fuzzy random sets are investigated from the viewpoint of the multivalued logic proposed by Kwakernaak[1].
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© 2012 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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