Linguistic Hedges in an Intuitionistic Fuzzy Setting

Slowly but surely, intuitionistic fuzzy sets are giving away their secrets. By tracing them back to the underlying algebraic structure that they are defined on (a complete lattice), they can be embedded in the well– known class of L–fuzzy sets, whose formal treatment allows the definition and study of order–theoretic concepts such as triangular norms and conorms, negators and implicators, as well as the development of more complex operations such as direct and superdirect image,. . . In this paper we use the latter for the representation of linguistic hedges. We study their behaviour w.r.t. hesitation, and we examine how in this framework modification of an intuitionistic fuzzy set can be constructed from separate modification of its membership and non-membership function.