An extension method for t-norms on subintervals to t-norms on bounded lattices

Title:

An extension method for t-norms on subintervals to t-norms on bounded lattices

Creator:

Karaçal, Funda , Ertuğrul, Ümit, and Kesicioğlu, M. Nesibe

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3551779f-cab9-4130-bb02-4f50cb2432ce
uuid:3551779f-cab9-4130-bb02-4f50cb2432ce
doi:10.14736/kyb-2019-6-0976

Subject:

bounded lattice, T-norm, construction method, and subinterval

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, a construction method on a bounded lattice obtained from a given t-norm on a subinterval of the bounded lattice is presented. The supremum distributivity of the constructed t-norm by the mentioned method is investigated under some special conditions. It is shown by an example that the extended t-norm on L from the t-norm on a subinterval of L need not be a supremum-distributive t-norm. Moreover, some relationships between the mentioned construction method and the other construction methods in the literature are presented.

Language:

English

Rights:

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

Coverage:

976-993

Source:

Kybernetika | 2019 Volume:55 | Number:6

Harvested from:

CDK

Metadata only:

false