Bayesian inference based upon fuzzy events

The purpose of the paper is to show that, contrary to the claims of some probabilists of the Bayesian trade, probability theory relates to fuzzy set theory in a similar way as it relates to classical set theory. Examining the well known proof by R.T. Cox (1946), whose aim is to justify the rules of...

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Main Authors: Bo Yuan, Klir, G.J.
Format: Conference Proceeding
Language:English
Subjects:
Bayesian methods
Boolean algebra
Educational institutions
Fuzzy logic
Fuzzy set theory
Fuzzy sets
Industrial engineering
Probabilistic logic
Set theory
Uncertainty
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Klir, G.J.
description The purpose of the paper is to show that, contrary to the claims of some probabilists of the Bayesian trade, probability theory relates to fuzzy set theory in a similar way as it relates to classical set theory. Examining the well known proof by R.T. Cox (1946), whose aim is to justify the rules of classical Bayesian inference, we point to some weaknesses of the proof and show that it does not exclude the possibility of alternative rules of Bayesian inference based on fuzzy events.
doi_str_mv 10.1109/ISUMA.1995.527674
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identifier ISBN: 0818671262
ispartof Proceedings of 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society, 1995, p.90-94
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source IEEE Electronic Library (IEL) Conference Proceedings
subjects Bayesian methods
Boolean algebra
Educational institutions
Fuzzy logic
Fuzzy set theory
Fuzzy sets
Industrial engineering
Probabilistic logic
Set theory
Uncertainty
title Bayesian inference based upon fuzzy events
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