In this paper we consider algebras of fuzzy truth values equipped with an implication operation. Generalizing the definition of type-1 fuzzy implications, we discuss extended fuzz...
— The algebra of truth values of type-2 fuzzy sets contains isomorphic copies of the algebra of truth values of type1 fuzzy sets and the algebra of truth values of interval-value...
The algebra of truth values for fuzzy sets of type-2, due to Zadeh, contains as subalgebras those of type-1 and of interval-valued fuzzy sets. It also contains many other interest...
In this paper we propose computationally simple, pointwise formulas for extended t-norms and t-conorms on fuzzy truth values. The complex convolutions of the extended operations a...
The algebra of truth values of type-2 fuzzy sets is the set of all functions from the unit interval into itself, with operations de ned in terms of certain convolutions of these f...