Original title: Some Results on Set-Valued Possibilistic Distributions
Authors: Kramosil, Ivan
Document type: Papers
Conference/Event: WUPES 2012, Mariánské Lázně (CZ), 2012-09-12 / 2012-09-15
Year: 2012
Language: eng
Abstract: When proposing and processing uncertainty decision making algorithms of various kinds and purposes we meet more and more often probability distributions ascribing to random events non-numerical uncertainty degrees. The reason is that we have to process systems of uncertainties for which the classical conditions like sigma-additivity or linear ordering of values are too restrictive to define sufficiently closely the nature of uncertainty we would like to specify and process. For the case of non-numerical uncertainty degrees at least the two criteria may be considered. First systems with rather complicated, but sophisticated and nontrivially formally analyzable uncertainty degrees. E.g., uncertainties supported by some algebras or partially ordered structures. Contrary, we may consider more easy non-numerical, but on the intuitive level interpretable relations. Well-known examples of such structures are set-valued possibilistic measures. Some perhaps interesting particular results in this direction will be introduced and analyzed in the contribution.
Keywords: non-numerical uncertainty degrees; possibilistic uncertainty and set-valued entropy functions; possibility measures; probability measures; set-valued uncertainty degrees
Project no.: GAP202/10/1826 (CEP)
Funding provider: GA ČR
Host item entry: Proceedings of 9th Workshop on Uncertainty Processing, ISBN 978-80-245-1885-5

Institution: Institute of Computer Science AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0211881

Permalink: http://www.nusl.cz/ntk/nusl-126345


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