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Possibilistic Measures Taking Their Values in Spaces Given by Inclusion-Closed Fragments of Power-Sets
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SYSNO ASEP 0327311 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Possibilistic Measures Taking Their Values in Spaces Given by Inclusion-Closed Fragments of Power-Sets Title Posibilistické míry s hodnotami v prostorech daných fragmenty potenčních množin uzavřenými vzhledem k podmnožinám Author(s) Kramosil, Ivan (UIVT-O) SAI Source Title Symbolic and Quantitative Approaches to Reasoning with Uncertainty. - Berlin : Springer, 2009 / Sossai C. ; Chemello G. - ISSN 0302-9743 - ISBN 978-3-642-02905-9 Pages s. 688-699 Number of pages 12 s. Action ECSQARU 2009. European Conference /10./ Event date 01.07.2009-03.07. 2009 VEvent location Verona Country IT - Italy Event type WRD Language eng - English Country DE - Germany Keywords possibilistic distribution ; possibilistic measure ; (in)complete lattice ; continuity from above ; continuity from below 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 000268585700059 EID SCOPUS 69049110004 DOI 10.1007/978-3-642-02906-6_59 Annotation Possibilistic distributions and measures with non-numerical membership degrees have been developed mostly under the simplifying assumption that these degrees are taken from a complete lattice. In this paper the conditions imposed on the space of possibilistic values are weakened in such a way that this space is defined by an inclusion-closed system of subsets of a space X. Let us note that the system of all finite subsets of an infinite space X (an incomplete lattice) or the system of all subsets of X the cardinality of which does not exceed a fixed number are examples of inclusion-closed systems of subsets of X. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2010
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