Abstract
This paper deals with a new type of open-like set in fuzzy minimal spaces [2], viz. fuzzy m- s*-open set taking fuzzy m-semiopen sets [3] as a basic tool. Afterwards, we introduce an idempotent operator, viz. fuzzy m- s*-closure operator. With the help of this operator we introduce and study two new types of functions, viz. fuzzy almost (m,m1)-s- continu-ous function and fuzzy almost (m,m1)- s*-continuous function. It is shown that every fuzzy almost (m,m1)- s*-continuous function is fuzzy almost (m,m1)-s- continuous func-tion, but the reverse implication is not necessarily true in general. Furthermore, we intro-duce fuzzy m- s*-regular spaces, in which the above mentioned reverse implication holds and, in addition, the classes of fuzzy m-open sets and fuzzy m- s*-open sets coincide.