A t-partial order obtained from t-norms

Title:

A t-partial order obtained from t-norms

Creator:

Karaçal, Funda and Kesicioğlu, M. Nesibe

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9c79d3f5-5150-4e59-9672-4b0f4ced5014
uuid:9c79d3f5-5150-4e59-9672-4b0f4ced5014

Subject:

triangular norm, bounded lattice, triangular action, ⋁-distributive, and idempotent element

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A partial order on a bounded lattice L is called t-order if it is defined by means of the t-norm on L. It is obtained that for a t-norm on a bounded lattice L the relation a⪯Tb iff a=T(x,b) for some x∈L is a partial order. The goal of the paper is to determine some conditions such that the new partial order induces a bounded lattice on the subset of all idempotent elements of L and a complete lattice on the subset A of all elements of L which are the supremum of a subset of atoms.

Language:

English

Rights:

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

Coverage:

[300]-314

Source:

Kybernetika | 2011 Volume:47 | Number:2

Harvested from:

CDK

Metadata only:

false