Conditional probability, fuzzy sets, and possibility: a unifying view
| Autor: | Romano Scozzafava, Giulianella Coletti |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Chain rule (probability)
Theoretical computer science Logic business.industry Conditional mutual information Coherent conditional probability Conditional probability Coherence (philosophical gambling strategy) Conditional expectation possibility fuzzy sets Coherent conditional probability fuzzy sets possibility Regular conditional probability Artificial Intelligence Conditional event algebra Artificial intelligence business Mathematics Probability measure |
| Zdroj: | Fuzzy Sets and Systems. 144:227-249 |
| ISSN: | 0165-0114 |
| Popis: | We propose an interpretation of fuzzy set theory (both from a semantic and a syntactic point of view) in terms of conditional events and coherent conditional probabilities. During past years, a large number of papers has been devoted to support either the thesis that probability theory is all that is required for reasoning about uncertainty, or the negative view maintaining that probability is inadequate to capture what is usually treated by fuzzy theory. In this paper we emphasize the role of conditioning (in a proper framework, i.e. de Finetti's coherence) to get rid of many controversial aspects. Moreover, we introduce suitable operations between fuzzy subsets, looked on as corresponding operations between conditional events endowed with the relevant conditional probability. Finally, we show how the concept of possibility function naturally arises as a coherent conditional probability. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect