Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
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Convergent Properties of Estimators Concerned with a Class of Vague Random Phenomena
Tokuo Fukuda
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2015 Volume 28 Issue 12 Pages 460-466

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Abstract

In this paper, the author investigates the convergent properties of estimators concerned with expectations for a class of vague random phenomena, where the fuzzy random set is considered as a model of the capricious vague perception of a crisp phenomenon or a crisp random phenomenon.
First, fuzzy random sets as vague random perceptions of non-random or random phenomena are investigated, and their expectations are also considered. Secondly applying the standard Strong Law of Large Numbers(SLLN) for the random elements in a separable Banach space, the convergent properties of estimators for expectations of the proposed fuzzy random sets are examined, and finally they are confirmed numerically by simulation studies.

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© 2015 The Institute of Systems, Control and Information Engineers
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