Isomorphisms between De Morgan triplets
type: Item
instance of: scholarly article
title: Isomorphisms between De Morgan triplets
zbMATH Open document ID: 0664.04007
DOI: 10.1016/0165-0114(89)90176-0
author: Pere García
author: L. Valverde
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: A triplet (F,G,n) is called De Morgan triplet if F is a continuous t- norm, G a continuous t-conorm and n a strong negation such that \(F\circ (n\times n)=n\circ G\). The De Morgan triplets are used to define the basic connectives meet, join and negation in fuzzy set theory. The paper under review is concerned with the characterization of the isomorphisms between De Morgan triplets. A discussion on the classification of the De Morgan triplets is given and some resulting equivalence classes of De Morgan triplets are studied.
Mathematics Subject Classification ID: 03E99
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4085652
zbMATH Keywords: additive generators of t-norm
zbMATH Keywords: De Morgan triplet
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90176-0
OpenAlex ID: W2020193090
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description: scientific article; zbMATH DE number 4085652