NEW TYPES OF FUZZY CONTINUITY VIA Î²-SEMIOPEN SETS

ANJANA BHATTACHARYYA Victoria Institution (College), Department of Mathematics,
78B, A.P.C. Road, Kolkata-700009, INDIA
e-mail: anjanabhattacharyya@hotmail.com

This paper deals with a new type of fuzzy open-like sets, viz., fuzzy Î²-semiopen sets, the class of which is strictly larger than that of fuzzy semiopen sets [1], but strictly smaller than the classes of fuzzy Î²-open sets [8], respectively of fuzzy eâˆ—-open sets [4]. It is shown that the collection fuzzy Î²-semiopen sets does not form a fuzzy topology. In Sec-tion 4, a new type of continuous-like function, viz., fuzzy (Î²-semi, r)-continuous function is introduced and studied. In Section 5, some applications of this new type of function are established.