Abstract :
In this paper, characterizations of the degree to which a mapping
T : LX ! M is an (L;M)-fuzzy topology are studied in detail. What is
more, the degree to which an L-subset is an L-open set with respect to T is
introduced. Based on that, the degrees to which a mapping f : X ! Y is
continuous, open, closed or a quotient mapping with respect to TX and TY are
dened, and their characterizations are given, respectively. Besides, the relationships
among the continuity degrees, the openness degrees, the closedness
degrees and the quotient degrees of mappings are discussed
Keywords :
(L,M)-fuzzy topology degree , L-open set degree , Continuity degree , Openness degree , Closedness degree , Quotient degree
