A note on a nilpotent lower bound of nilpotent triangular norms
type: Item
instance of: scholarly article
title: A note on a nilpotent lower bound of nilpotent triangular norms
zbMATH Open document ID: 0930.03075
DOI: 10.1016/S0165-0114(98)00255-3
author: V. Marko
author: Radko Mesiar
published in: Fuzzy Sets and Systems
publication date: 1999-11-16T00:00:00Z
review text: The authors prove that there exists a nilpotent upper (! see corrigendum) bound for a finite set of nilpotent t-norms. Essential tools for the proof are additive generators of t-norms and the theory of superadditive functions. An illustrative example is presented. The results can be applied to t-norm-based addition of fuzzy numbers, to fuzzy equivalence relations and to fuzzy partitions.
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1339574
zbMATH Keywords: nilpotent upper bound
zbMATH Keywords: nilpotent t-norms
zbMATH Keywords: superadditive functions
zbMATH Keywords: t-norm-based addition of fuzzy numbers
zbMATH Keywords: fuzzy equivalence relations
zbMATH Keywords: fuzzy partitions
reviewed by: Wolfgang Näther
MaRDI profile type: Publication
cites work: Q4357727
cites work: A characterization of the ordering of continuous \(t\)-norms
cites work: A note to the addition of fuzzy numbers based on a continuous Archimedean t-norm
cites work: Q4893742
cites work: Q3336431
description: scientific article; zbMATH DE number 1339574