Symmetric difference operators for fuzzy sets
type: Item
instance of: scholarly article
title: Symmetric difference operators for fuzzy sets
zbMATH Open document ID: 0664.04008
DOI: 10.1016/0165-0114(89)90174-7
author: Núria Agell
author: Roser Rovira
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: (T,S,n) is called a De Morgan triplet if T is a t-norm, S a t-conorm, n a strong negation in the unit interval and \(T=n\circ S\circ (n\times n)\). The authors of the paper under review extend the four representations of the symmetric difference operator in the lattice \(({\mathcal P}(X),\min,\max,1-j)\) and obtain four different operators. Furthermore, comparing and analyzing these four operators, the authors describe their properties and discuss the cases in which they are equivalent.
Mathematics Subject Classification ID: 03E99
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4085653
zbMATH Keywords: De Morgan triplet
zbMATH Keywords: symmetric difference operator
Wikidata QID: Q62039833
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90174-7
OpenAlex ID: W2066947476
cites work: On some logical connectives for fuzzy sets theory
cites work: Q3338251
cites work: Construction of fuzzy sigma-algebras using triangular norms
cites work: Q3336431
cites work: Fuzzy sets
description: scientific article; zbMATH DE number 4085653