Fuzzy sets (in)equations with a complete codomain lattice

Title:

Fuzzy sets (in)equations with a complete codomain lattice

Creator:

Stepanović, Vanja and Tepavčević, Andreja

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b3327868-e6cd-49bd-986c-175ccacbb000
uuid:b3327868-e6cd-49bd-986c-175ccacbb000
doi:10.14736/kyb-2022-2-0145

Subject:

fuzzy relations, fuzzy set equations, fuzzy set inequations, monotonous operator, and upper continuous lattice

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The paper applies some properties of the monotonous operators on the complete lattices to problems of the existence and the construction of the solutions to some fuzzy relational equations, inequations, and their systems, taking a complete lattice for the codomain lattice. The existing solutions are extremal - the least or the greatest, thus we prove some extremal problems related to fuzzy sets (in)equations. Also, some properties of upper-continuous lattices are proved and applied to systems of fuzzy sets (in)equations, in a special case of a meet-continuous complete codomain lattice.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

145-162

Source:

Kybernetika | 2022 Volume:58 | Number:2

Harvested from:

CDK

Metadata only:

false