Possibility theory, probability and fuzzy sets. Misunderstandings, bridges and gaps (Q2702363)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Possibility theory, probability and fuzzy sets. Misunderstandings, bridges and gaps |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Possibility theory, probability and fuzzy sets. Misunderstandings, bridges and gaps |
scientific article |
Statements
7 February 2002
0 references
Sugeno integrals
0 references
possibility and necessity measures
0 references
possibility distributions
0 references
possibilistic conditioning
0 references
possibilistic independence
0 references
Choquet integrals
0 references
Possibility theory, probability and fuzzy sets. Misunderstandings, bridges and gaps (English)
0 references
The well-known authors show that the possibility theory of \textit{L. A. Zadeh} [Fuzzy Sets Syst. 1, 3-28 (1978; Zbl 0377.04002)] is a non-classical tool to model vague information described by fuzzy sets, a tool essentially different from probability theory. The following basic topics of this theory are deeply discussed: possibility and necessity measures, possibility distributions, possibilistic conditioning and possibilistic independence.NEWLINENEWLINENEWLINEA final mathematical appendix clarifies all the concepts presented, essentially the Sugeno and Choquet integrals used in fuzzy set theory for evaluating the uncertainty of a fuzzy event.NEWLINENEWLINEFor the entire collection see [Zbl 0942.00007].
0 references
