| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10324459 | Fuzzy Sets and Systems | 2005 | 13 Pages |
Abstract
An appropriate definition of a conditional probability on an MV-algebra was an open problem mentioned in RieÄan and Mundici (Handbook of Measure Theory, North-Holland, Amsterdam, 2002). We propose some concept of conditional probability (state) on a Ï-complete MV-algebra with product. Its basic properties will be proven and it will also be demonstrated that the conditional probability in classical probability theory is a special case of this definition. Moreover, the paper contains also a discussion of the interpretation of fuzzy sets and conditioning in fuzzy probability theory.
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
TomáÅ¡ Kroupa,