On Fuzzy α-I-Open Sets and a Decomposition of Fuzzy Continuity

摘要

In this paper, we introduce and study the notion of fuzzy α-I-open sets, which is properly placed between fuzzy openness and fuzzy α-openness regardless the fuzzy topological ideal. We have deduced some characterization theorems for such concepts exactly analogous to general topology. And we define the notion of fuzzy α-I-continuous function via fuzzy α-I-open sets and some of its properties are investigated. At last, we give a decomposition of fuzzy continuity by using fuzzy α-I-continuous function.