A note on the mutual independence of the properties in the characterization of R-implications generated from left-continuous t-norms
type: Item
instance of: scholarly article
title: A note on the mutual independence of the properties in the characterization of R-implications generated from left-continuous t-norms
zbMATH Open document ID: 1216.03046
published in: Fuzzy Sets and Systems
publication date: 2011-01-31T00:00:00Z
review text: R-implications are based on the functional \(I_T(x,y)=\sup\{t\in [0,1] \;| \;T(x,t) \leq y\}\), where \(T\) is a t-norm. The author of this paper presents two examples which finally solve the problem of the mutual independence of the properties associated with the characterization of R-implications generated from left continuous t-norms.
reviewed by: Michał Baczyński
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 39B99
zbMATH DE Number: 5843062
zbMATH Keywords: fuzzy implication
zbMATH Keywords: triangular norm
zbMATH Keywords: R-implication
author: Radosław ~Łukasik
MaRDI profile type: Publication
full work available at URL: j.fss.2010.04.020
OpenAlex ID: W1989905364
cites work: Residual implications revisited. Notes on the Smets-Magrez theorem.
cites work: On the characterizations of \((S,N)\)-implications
cites work: Fuzzy implications
cites work: Q4315286
cites work: Solutions of composite fuzzy relational equations with triangular norms
cites work: Q5187215
DOI: 10.1016/J.FSS.2010.04.020
description: scientific article; zbMATH DE number 5843062