Fuzzy strongly generalized semi-closed sets in fuzzy topological spaces

摘要

In this paper, we introduce the concept of fuzzy strongly generalized semi-closed sets in fuzzy topological spaces, which properly lies between the class of fuzzy semi-closed sets and the class of fuzzy generalized semi-closed, and investigate their properties. As applications to fuzzy strongly generalized semi-closed sets, we introduce fuzzy spaces with new kinds of separation axioms and characterize them.