The probability measure for a fuzzy event in a fuzzy sample space-a study based on the principle of complete ignorance

Proposes an idea for the problem of how to rationally qualify the probability measure for a vague event in a vague sample space after a subject considers the event and the sample space, and clarifies the vagueness by use of his subjective judgment and fuzzy sets theory. The following points are stud...

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Bibliographic Details
Published inIEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028) Vol. 3; pp. 79 - 83 vol.3
Main Authors Kato, Y., Okamoto, H., Ohtsuki, R., Yamaguchi, S.
Format Conference Proceeding
LanguageEnglish
Japanese
Published IEEE 20.01.2003
Subjects
Earth
Extraterrestrial measurements
Fuzzy set theory
Fuzzy sets
Humans
Probability distribution
Random variables
Uncertainty
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ISBN9780780357310
0780357310
ISSN1062-922X
DOI10.1109/ICSMC.1999.823158

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Summary:Proposes an idea for the problem of how to rationally qualify the probability measure for a vague event in a vague sample space after a subject considers the event and the sample space, and clarifies the vagueness by use of his subjective judgment and fuzzy sets theory. The following points are studied: (1) the probability measure is calculated by use of the principle of complete ignorance and expressed as the measure with possibility; (2) the fuzzy random variable is defined and its possible and necessary probability distributions are derived from studies in Zadeh (1978); (3) the Bayes estimation method based on vague observation is studied; and (4) the consideration of the probability measure studied in the above paper is given based on the possibility/probability consistency principle.
ISBN:9780780357310
0780357310
ISSN:1062-922X
DOI:10.1109/ICSMC.1999.823158