AUTOMORPHISMS OF THE ALGEBRA OF FUZZY TRUTH VALUES II
This paper continues an earlier investigation of automorphisms of the algebra of truth values of type-2 fuzzy sets. Several significant problems left unresolved are settled, the most basic being that the automorphism group of the algebra of fuzzy truth values is isom orphic in a natural way to the product of two copies of the automorphism group of the unit interval. This theorem has several corollaries concerning characteristic subalgebras.
automorphism fuzzy truth values algebra of truth values type-2 fuzzy set characteristic subalgebra interval-valued fuzzy set