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On interpretation of T-product extensions of possibility distributions
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SYSNO ASEP 0427068 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On interpretation of T-product extensions of possibility distributions Author(s) Vejnarová, Jiřina (UTIA-B) RID Number of authors 1 Source Title Fuzzy Sets and Systems. - : Elsevier - ISSN 0165-0114
Roč. 232, č. 1 (2013), s. 3-17Number of pages 15 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords Possibility theory ; Extension ; Triangular norm ; Conditional independence ; Sets of probability distributions Subject RIV BA - General Mathematics R&D Projects GAP402/11/0378 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000327170400002 EID SCOPUS 84886726600 DOI https://doi.org/10.1016/j.fss.2013.08.006 Annotation T-product extensions(where T is a continuoust-norm) of a system of low-dimensional possibility distributions form an important class of solutions of the so-called possibilistic marginal problem. Nevertheless, they can differ from each other, e.g., from the viewpoint of inference. Therefore the need for their interpretation is obvious.To find it, we identify any possibility distribution with a set of probability distributions dominated by it and find a probability interpretation of models based on Gödel’s, product and Lukasiewicz’s t-norms. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2015
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