Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
On Second Statistical Moments for Capricious Vague Perceptions
Tokuo Fukuda
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2013 Volume 26 Issue 11 Pages 375-381


In this paper, the author investigates the statistical moments such as expectations and variancesfor a class of fuzzy random sets, where the fuzzy random set is considered as a model of the capriciousvague perception of a crisp phenomenon or a crisp random phenomenon.First, the class of fuzzy random sets, which has been proposed by author[1–3], where the vagueperception of a crisp phenomenon fluctuates slightly but randomly by the state of a capriciousperson’s mind, is refined and its expectation and variance are introduced.Secondly, the refined class of fuzzy random sets is extended to the models for the capricious vagueperceptions of crisp random phenomena, and their expectations and variances are investigated fromthe viewpoint of the multi-valued logic.

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© 2013 The Institute of Systems, Control and Information Engineers
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