Lipschitzian De Morgan triplets of fuzzy connectives
type: Item
instance of: scholarly article
title: Lipschitzian De Morgan triplets of fuzzy connectives
zbMATH Open document ID: 1204.03033
author: A. Kolesárová
author: Radko Mesiar
published in: Information Sciences
publication date: 2010-09-08T00:00:00Z
review text: In the first part of this paper, the authors discuss in detail Lipschitzian strong negations, in particular they show some relationships between a monotone generator of a strong negation \(n\) and the best Lipschitzian constant of \(n\). In the second part, Lipschitzian De Morgan triplets \((T,S,n)\), where \(T\) is a triangular norm, \(S\) a triangular conorm, and \(n\) a strong negation, are investigated. Several interesting examples are included.
reviewed by: Michał Baczyński
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 5781087
zbMATH Keywords: fuzzy logic
zbMATH Keywords: fuzzy connectives
zbMATH Keywords: triangular norm
zbMATH Keywords: triangular conorm
zbMATH Keywords: strong negation
zbMATH Keywords: Lipschitz property
zbMATH Keywords: De Morgan triplet
MaRDI profile type: Publication
full work available at URL: j.ins.2010.05.022
OpenAlex ID: W1988969498
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DOI: 10.1016/J.INS.2010.05.022
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description: scientific article; zbMATH DE number 5781087