On several types of compactness in smooth topological spaces
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Dosyalar
Tarih
1997
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Bv
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The smooth closure and smooth interior of a fuzzy set w.r.t. a smooth topology were defined by Gayyar et al. (1994), and some relations between a few types of compactness were established in the presence of strong restrictions. In this paper, by constructing new definitions of smooth closure and smooth interior which have more desirable properties than those of Gayyar et al. (1994), we prove that several hypothesis in the results of Gayyar et al. (1994) can be weakened and show that the relations which hold between various types of compactness in fuzzy topological spaces in Chang's sense (CFTS for short) (Di Concilio and Gerla, 1984; Haydar Es, 1987) can be extended to smooth topological spaces.
Açıklama
Anahtar Kelimeler
Fuzzy Sets, Topology, Smooth Almost Compactness, Smooth Near Compactness
Kaynak
Fuzzy Sets And Systems
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
90
Sayı
1