On inner and outer extensions of non-numerical fuzzy and possibilistic measures

Title:

On inner and outer extensions of non-numerical fuzzy and possibilistic measures

Creator:

Kramosil, Ivan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3a23a094-4eb5-49d9-8ad3-df917284e583
uuid:3a23a094-4eb5-49d9-8ad3-df917284e583

Subject:

fuzzy measure, possibilistic measure, inner measure, outer measure, measurability in the Lebesgue sense, and non-numerical uncertainty degrees

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Neural network world: international journal on neural and mass-parallel computing and information systems | 2002 Volume:12 | Number:5

Harvested from:

CDK

Metadata only:

false