Possibilistic Lattice-Valued Almost-Measurability Relation

0404922 - UIVT-O 20030049 RIV CZ eng J - Journal Article
Kramosil, Ivan
Possibilistic Lattice-Valued Almost-Measurability Relation.
Neural Network World. Roč. 13, č. 5 (2003), s. 531-539. ISSN 1210-0552.
[DATAKON. Workshop on Soft Computing /4./. Brno, 18.10.2003-20.10.2003]
R&D Projects: GA MŠMT OC 274.001
Grant - others:COST(XE) Action 274 TARSKI
Institutional research plan: AV0Z1030915
Keywords : possibilistic measure * inner and outer measure * complete lattice * almost measurable set
Subject RIV: BA - General Mathematics

Let us consider partial possibilistic measures defined only for certain subsets and ascribing to them, elements from a complete lattice. We define an inner and outer measure induced by the partial lattice-valued possibilistic measure in question. A subset is defined as almost measurable, if the difference between the values of the inner and the outer measure asscribed to this set does not exceed some given threshold value.
Permanent Link: http://hdl.handle.net/11104/0003465