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Lattice-Valued Possibilistic Entropy Measure
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SYSNO ASEP 0099114 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Lattice-Valued Possibilistic Entropy Measure Title Posibilistická entropická míra s hodnotami ve svazu Author(s) Kramosil, Ivan (UIVT-O) SAI Source Title International Journal of Uncertainty Fuzziness and Knowledge-Based Systems. - : World Scientific Publishing - ISSN 0218-4885
Roč. 16, č. 6 (2008), s. 829-846Number of pages 18 s. Language eng - English Country GB - United Kingdom Keywords complete lattice ; lattice-valued possibilistic distribution ; entropy measure ; product of possibilistic distribution Subject RIV BA - General Mathematics R&D Projects IAA100300503 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000262087000004 EID SCOPUS 58149265132 DOI 10.1142/S0218488508005649 Annotation We propose a lattice-valued entropy measure H ascribing to each lattice-valued possibilistic distribution p the value H(p) defined as the expected value (in the sense of lattice-valued Sugeno integral with infimum in the role of t-norm) of certain nonincreasing function of the values ascribed to the elements of the basic space by the possibilistic distribution in question. For completely distributive complete lattices, the entropy value ascribed to possibilistically independent product of a finite number of lattice-valued possibilistic distributions is defined by the supremum of the entropy values ascribed to particular distributions. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2009
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