Preservation of properties of fuzzy relations during aggregation processes

Title:

Preservation of properties of fuzzy relations during aggregation processes

Creator:

Drewniak, Józef and Dudziak, Urszula

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a0644644-c7fb-4fb0-9caf-3e9bf4e7f24b
uuid:a0644644-c7fb-4fb0-9caf-3e9bf4e7f24b

Subject:

fuzzy relation, fuzzy relation properties, fuzzy relation classes, ∗-transitivity, transitivity, aggregation functions, relation aggregation, and triangular norms

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Diverse classes of fuzzy relations such as reflexive, irreflexive, symmetric, asymmetric, antisymmetric, connected, and transitive fuzzy relations are studied. Moreover, intersections of basic relation classes such as tolerances, tournaments, equivalences, and orders are regarded and the problem of preservation of these properties by n-ary operations is considered. Namely, with the use of fuzzy relations R1,…,Rn and n-argument operation F on the interval [0,1], a new fuzzy relation RF=F(R1,…,Rn) is created. Characterization theorems concerning the problem of preservation of fuzzy relations properties are given. Some conditions on aggregation functions are weakened in comparison to those previously given by other authors.

Language:

English

Rights:

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

Coverage:

[115]-132

Source:

Kybernetika | 2007 Volume:43 | Number:2

Harvested from:

CDK

Metadata only:

false