On a class of left-continuous \(\text t\)-norms
type: Item
instance of: scholarly article
title: On a class of left-continuous \(\text t\)-norms
zbMATH Open document ID: 1012.03032
DOI: 10.1016/S0165-0114(01)00215-9
author: Roberto Cignoli
author: Francesc Esteva
author: Lluís Godo
author: Franco Montagna
published in: Fuzzy Sets and Systems
publication date: 2003-04-02T00:00:00Z
review text: In the paper mutual relations between t-norms and logical weak negations are investigated. The attention is focused on so-called nilpotent minimum t-norms, whose construction is generalized in the paper. In the main results the weak negations compatible with a given t-norm are characterized and, vice versa, also a characterization of continuous t-norms compatible with a given weak negation function is given.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 03B52
zbMATH DE Number: 1891646
zbMATH Keywords: fuzzy connectives
zbMATH Keywords: left-continuous t-norms
zbMATH Keywords: weak negations
MaRDI profile type: Publication
cites work: Q3893927
cites work: Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
cites work: Residuated fuzzy logics with an involutive negation
cites work: Metamathematics of fuzzy logic
cites work: Q4836218
cites work: New family of triangular norms via contrapositive symmetrization of residuated implications
cites work: Q4440524
cites work: A proof of standard completeness for Esteva and Godo's logic MTL
cites work: Triangular norms
cites work: On the structure of semi-groups on a compact manifold with boundary
full work available at URL: s0165-0114(01)00215-9
OpenAlex ID: W2058214461
description: scientific article; zbMATH DE number 1891646