Isomorphisms between De Morgan triplets
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.
scientific article; zbMATH DE number 4085652