A Property of the Intuitionistic Fuzzy Modal Operator X_B,C,D,F,G

In the theory of the Intuitionistic Fuzzy Sets (IFS) there exist operators of modal type, of level type, and of topological type. The modal operators themselves are from three different types. Initially, an intuitionistic fuzzy analogues of the classical modal operators “necessity” and “possibility” were introduced. Following that, they were generalized to new modal-type operators specific to IFSs. In the present paper is considered the most general (at least until this moment) of these operators. It is shown that with appropriate choice of its parameters, this operator can transform the intuitionistic fuzzy values of an arbitrary IFS to the intuitionistic fuzzy values of another arbitrarily chosen IFS.