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Bai, Shizhong

Fuzzy strongly semiopen sets and fuzzy strong semicontinuity. (English) Zbl 0795.54009

Fuzzy Sets Syst. 52, No. 3, 345-351 (1992).
Summary: We first introduce and study the fuzzy strongly semiopen and fuzzy strongly semiclosed sets in fuzzy space. Then we introduce the strong semi-interior and strong semiclosure of a fuzzy set, and Kuratowski’s 14- sets theorem of general topology is generalized. Finally we introduce the fuzzy strongly semicontinuous, fuzzy strongly semiopen and fuzzy strongly semiclosed mappings on fuzzy topological spaces, and also establish some of their characteristic properties, and discuss relations between fuzzy continuous, fuzzy semicontinuous and fuzzy strongly semicontinuous mappings.

Cited in 2 Reviews
Cited in 12 Documents

MSC:

54A40 Fuzzy topology

Keywords:

fuzzy strongly semiopen set; fuzzy strongly semicontinuous mapping; fuzzy strongly semiopen mapping; fuzzy continuous mapping; fuzzy semicontinuous mapping; fuzzy strongly semiclosed sets; strong semi-interior; strong semiclosure
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\textit{S. Bai}, Fuzzy Sets Syst. 52, No. 3, 345--351 (1992; Zbl 0795.54009)
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References:

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