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Weakening Lebesgue Measurability for Lattice-Valued Possibilistic Measures
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SYSNO ASEP 0103278 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Weakening Lebesgue Measurability for Lattice-Valued Possibilistic Measures Title Zeslabení měřitelnosti v Lebesgueově smyslu pro posibilistické míry s hodnotami ve svazu Author(s) Kramosil, Ivan (UIVT-O) SAI Source Title IPMU 2004. Information Processing and Management of Uncertainty in Knowledge-Based Systems, 1. - Roma : Editrice Universita La Sapienza, 2004 - ISBN 88-87242-54-2 Pages s. 359-366 Number of pages 8 s. Action IPMU 2004 /10./ Event date 04.07.2004-09.07.2004 VEvent location Perugia Country IT - Italy Event type WRD Language eng - English Country IT - Italy Keywords posibilistic measures ; complete lattices ; sets measurable in the Lebesgue sense ; almost measurable sets ; classes of almost measurable sets Subject RIV BA - General Mathematics R&D Projects OC 274.001 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z1030915 - UIVT-O Annotation Partial lattice-valued fuzzy and possibilistic measures and the inner and outer measures induced by them are introduced and investigated. Using the classical idea due to Lebesgue, these measures can be uniquely and conservatively extended to those subsets of the basic space under consideration, for which their values of inner and outer measures are identical. Weakening this idea, we arrive at almost - measurable sets defined as those, for which a particular lattice-valued distance or difference between their inner and outer measures does not exceed a fixed threshold value taken from the lattice under consideration. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2005
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