Partial Convergence and Continuity of Lattice-Valued Possibilistic Measures

0310560 - ÚI 2009 RIV SK eng J - Journal Article
Kramosil, Ivan
Partial Convergence and Continuity of Lattice-Valued Possibilistic Measures.
[Parciální konvergence a spojitost posibilistických měr s hodnotami ve svazu.]
Computing and Informatics. Roč. 27, č. 3 (2008), s. 297-313. ISSN 1335-9150. E-ISSN 1335-9150
R&D Projects: GA AV ČR IAA100300503
Institutional research plan: CEZ:AV0Z10300504
Keywords : partially ordered set * (complete) lattice * set function * lattice-valued possibilistic (possibility) measure * convergence and continuity from below (lower convergence and continuity) * convergence and continuity from above (upper convergence and continuity)
Subject RIV: BA - General Mathematics
Impact factor: 0.492, year: 2008
http://www.cai.sk/ojs/index.php/cai/article/view/251

The formerly introduced notion of continuity from above (upper continuity) for lattice-valued possibilistic measures has been proved to be a rather strong condition when imposed as demand on such a measure. Hence, our aim will be to introduce some versions of this upper continuity weakened in the sense that the conditions imposed to the whole definition domain of the possibilistic measure in question will be restricted just to certain subdomains. The resulting notion of partial upper convergence and continuity of lattice-valued possibilistic measures will be analyzed in more detail and some results will be introduced and proved.

Dříve zavedený pojem spojitosti shora pro posibilistické míry s hodnotami ve svazu (lattice) se ukazuje jako příliš silný a omezující, pokud je na takové míry vložen jako podmínka. Proto jsou navrženy a vzájemně porovnávány některé alternativní slabší definice spojitosti shora pro zmíněné posibilistické míry a jsou uvedeny a dokázány výsledky popisující vlastnosti jednotlivých slabších variant.
Permanent Link: http://hdl.handle.net/11104/0162386