On some weak structures in intuitionistic fuzzy soft topological spaces

Abstract

Intuitionistic fuzzy set is fruitful and more realistic model of uncertainty than the fuzzy sets.  Extending this approach further, intuitionistic fuzzy soft sets were introduced, as a generalization of fuzzy soft sets and standard soft sets.  Intuitionistic fuzzy soft sets used to handle the problem of muti-criteria decision making.  In this paper, we initiate and establish the topological structures of intuitionistic fuzzy soft semi-open sets and intuitionistic fuzzy soft semi-closed sets.  We also define and explore the properties of intuitionistic fuzzy soft semi-interior, intuitionistic fuzzy soft semi-closure and discuss the relationship between them.  Moreover, we establish and discuss intuitionistic fuzzy soft semi-open neighborhood systems.  We believe that the findings in this paper will enhance the further study proceed towards muti-criteria decision making problems.