Sufficient conditions for a T-partial order obtained from triangular norms to be a lattice

Title:

Sufficient conditions for a T-partial order obtained from triangular norms to be a lattice

Creator:

Li, Lifeng , Zhang , Jianke , and Zhou, Chang

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:701d3e86-6d7a-4b9d-8fd0-d4d35a45d59c
uuid:701d3e86-6d7a-4b9d-8fd0-d4d35a45d59c
doi:10.14736/kyb-2019-2-0295

Subject:

triangular norm, bounded lattice, and T-partial order

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

For a t-norm T on a bounded lattice (L,≤), a partial order ≤T was recently defined and studied. In \cite{Karacal11}, it was pointed out that the binary relation ≤T is a partial order on L, but (L,≤T) may not be a lattice in general. In this paper, several sufficient conditions under which (L,≤T) is a lattice are given, as an answer to an open problem posed by the authors of \cite{Karacal11}. Furthermore, some examples of t-norms on L such that (L,≤T) is a lattice are presented.

Language:

English

Rights:

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

Coverage:

295-306

Source:

Kybernetika | 2019 Volume:55 | Number:2

Harvested from:

CDK

Metadata only:

false