New family of triangular norms via contrapositive symmetrization of residuated implications
type: Item
instance of: scholarly article
title: New family of triangular norms via contrapositive symmetrization of residuated implications
zbMATH Open document ID: 0941.03059
DOI: 10.1016/S0165-0114(97)00374-6
author: Sándor Jenei
published in: Fuzzy Sets and Systems
publication date: 2000-01-01T00:00:00Z
review text: The paper deals with triangular norms connected with strong negation. Their properties are investigated and presented. The main results regard the description of the nilpotent minimum of triangular norms, which is described as a limit of nilpotent triangular norms where the nilpotent minimum is an extremal case. The problems solved in the paper are strongly related to the contrapositive symmetry of residuated implications.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1423462
zbMATH Keywords: semigroup
zbMATH Keywords: associativity
zbMATH Keywords: triangular norms
zbMATH Keywords: strong negation
zbMATH Keywords: nilpotent minimum
zbMATH Keywords: contrapositive symmetry
zbMATH Keywords: residuated implications
MaRDI profile type: Publication
cites work: Contrapositive symmetry of fuzzy implications
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full work available at URL: s0165-0114(97)00374-6
OpenAlex ID: W1985612147
Wikidata QID: Q127740455
description: scientific article; zbMATH DE number 1423462