1. On inner and outer extensions of non-numerical fuzzy and possibilistic measures
- Creator:
- Kramosil, Ivan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- fuzzy measure, possibilistic measure, inner measure, outer measure, measurability in the Lebesgue sense, and non-numerical uncertainty degrees
- Language:
- English
- Description:
- Non-riumerical fuzzy and possibilistic measures taking their values in partially ordered sets, semilattices or lattices are introduced. Using the operations of supremurn and infimum in these structures, the inner and outer (lower and upper) extensions of the original measures are investigated and defined. The conditions under which the resulting functions -extend conservatively the original ones and possess the properties of fuzzy or possibilistic measures, are explicitly stated and relevant assertions are proved.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public