论文信息 - On the boundary of fuzzy sets

On the boundary of fuzzy sets

Abstract We introduce and study a new concept of boundary of a fuzzy set in a fuzzy topological space. This notion preserves the good properties of the Warren's boundary and, furthermore, it allows to characterize the clopen fuzzy sets as those whose boundary is 0 X .

Juan Tarrés | Eduardo Cuchillo-Ibáñez

[1] Dimension of fuzzy spaces , 1988 .

[2] Some properties of the dimension F-Ind of GF-spaces , 1993 .

[3] R. Lowen. Fuzzy topological spaces and fuzzy compactness , 1976 .

[4] C. L. Chang,et al. Fuzzy topological spaces , 1968 .

[5] Lotfi A. Zadeh,et al. Fuzzy Sets , 1996, Inf. Control..