Some methods to obtain t-norms and t-conorms on bounded lattices

Title:

Some methods to obtain t-norms and t-conorms on bounded lattices

Creator:

Çayli, Gül Deniz

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5b6bdab7-1e8f-4742-89f3-36938080f2e1
uuid:5b6bdab7-1e8f-4742-89f3-36938080f2e1
doi:10.14736/kyb-2019-2-0273

Subject:

t-norm, ordinal sum, t-conorm, and bounded lattice

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this study, we introduce new methods for constructing t-norms and t-conorms on a bound\-ed lattice L based on a priori given t-norm acting on [a,1] and t-conorm acting on [0,a] for an arbitrary element a∈L∖{0,1}. We provide an illustrative example to show that our construction methods differ from the known approaches and investigate the relationship between them. Furthermore, these methods are generalized by iteration to an ordinal sum construction for t-norms and t-conorms on a bounded lattice.

Language:

English

Rights:

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

Coverage:

273-294

Source:

Kybernetika | 2019 Volume:55 | Number:2

Harvested from:

CDK

Metadata only:

false