Partially continuous pretopological and topological operators for intuitionistic fuzzy sets

Document Type : Research Paper


Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian


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 by Wenzhong and Kimfung.