定義
- A fuzzy set u in a fuzzy topological space X is said to be fuzzy β-compact relative to X iff for every family μ of [[β-open]]
fuzzy sets such that there is a finite subfamily such that for every x in S(u), where S(u) is support of a fuzzy set u.
性質
- Every β-closed? fuzzy subset of a fuzzy β-compact space is fuzzy β-compact relative to X.
出典
- Hanafy, I.M. Fuzzy β-compactness and fuzzy β-closed spaces (English) Turk. J. Math. 28, No. 3, 281-293 (2004)