Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
The 27th ISCIE International Symposium on Stochastic Systems Theory and Its Applications (Oct-Nov. 1995, BEPPU)
On the Set Representation of Fuzzy Random Vectors Obtained as Vague Perception of Random Phenomena
Tokuo Fukuda
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1996 Volume 1996 Pages 77-82

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Abstract
In this paper, the author tries to reconstruct fuzzy random vector(FRVCs) by using set representation approach. Fuzzy random vectors as vague perception of random phenomena is proposed by author, which have intrinsically both properties of fuzziness and randomness and they are obtained as fuzzy perceptions of ordinary non-fuzzy random vectors. First, FRVCs are re-defined by using the set representation of fuzzy sets. Secondly, adopting the multi-valued logic, the expectation of FRVCs are defined. Finally, some of the statistical properties of FRVCs are studied theoretically.
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© 1996 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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