In this paper, pretopological and topological operators are introduced based on partially continuous linear transformations of the membership and non-membership functions for intuitionistic fuzzy sets. They turn out to be a generalization of the topological operators for intuitionistic fuzzy sets.On the other hand it is a generalization of the fuzzy set pretopological operators introduced...

Abstract We consider the problem of proving in zero knowledge that an element a public set satisfies given property without disclosing element, i.e., for some u , “ $$u \in S$$ u ? S and P ( ) holds”. This arises many applications (anonymous cryptocurre...