Extended Temporal-level Operator Over Intuitionistic Fuzzy Sets
Krassimir T. Atanassov
The Intuitionistic Fuzzy Set (IFS) was introduced in 1983 as one of the first extensions of Zadeh’s fuzzy set. In the following years, on the one hand, it was extended to intuitionistic L-fuzzy set (1984), interval valued IFS (1989), IFS of second type (1989) (although some authors have incorrectly called it Pythagorean fuzzy set) and more generally of n-th type, Temporal IFS (TIFS) and others. On the other hand, different relations, operations and operators have been introduced over IFSs. The operators over IFS are of modal, topological, level and other types.
In the present paper, as a continuation and fusion of the ideas of TIFS and of level operations over IFSs, temporal-level operators are introduced and some of their basic properties are studied.
Keywords: Intuitionistic fuzzy operator, Intuitionistic fuzzy set, Temporal intuitionistic fuzzy operator, Temporal intuitionistic fuzzy set