Continuity and Completeness of Lattice-Valued Possibilistic Measures

0039697 - ÚI 2007 RIV GB eng J - Journal Article
Kramosil, Ivan
Continuity and Completeness of Lattice-Valued Possibilistic Measures.
[Spojitost a úplnost posibilistických měr s hodnotami ve svazu.]
International Journal of General Systems. Roč. 35, č. 5 (2006), s. 555-574. ISSN 0308-1079. E-ISSN 1563-5104
R&D Projects: GA AV ČR IAA100300503
Institutional research plan: CEZ:AV0Z10300504
Keywords : partially ordered set * complete lattice * lattice-valued possibilistic measure * continuity from above and from below * completeness * possibilistic distribution
Subject RIV: BA - General Mathematics
Impact factor: 0.620, year: 2006

Properties like continuity from above and from below and various kinds of completeness are analzyed when investigating set functions, in particular probabilistic and possibilistic measures. In this work, the notions of continuity from above and from below are introduced for non-numerical possibilistic measures taking their values in a complete lattice, and at least for some relations their analogies for lattice-valued possibilistic measures are stated and proved.

Při zkoumání množinových funkcí, jmenovite pak pravděpodobnostních a posibilistických měr se vyšetřuje spojitost shora i zdola a různé typy úplnosti. V této práci definujeme pojem spojitosti shora i zdola pro posibilisrické míry s hodnotami v úplném svazu a alespoň pro některé dosud známé relace je dokázána jejich analogie i pro tyto nenumerické míry.
Permanent Link: http://hdl.handle.net/11104/0133696