On a special class of left-continuous uninorms

Title:

On a special class of left-continuous uninorms

Creator:

Li, Gang

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7dd385cf-3e90-488f-85d9-c1645e5ed7bb
uuid:7dd385cf-3e90-488f-85d9-c1645e5ed7bb
doi:10.14736/kyb-2018-3-0427

Subject:

uninorm, internal operator, ordinal sum, residual implication, and triangular subnorm

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper is devoted to the study of a class of left-continuous uninorms locally internal in the region A(e) and the residual implications derived from them. It is shown that such uninorm can be represented as an ordinal sum of semigroups in the sense of Clifford. Moreover, the explicit expressions for the residual implication derived from this special class of uninorms are given. A set of axioms is presented that characterizes those binary functions I:[0,1]2→[0,1] for which a uninorm U of this special class exists in such a way that I is the residual implications derived from U.

Language:

English

Rights:

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

Source:

Kybernetika | 2018 Volume:54 | Number:3

Harvested from:

CDK

Metadata only:

false