Fuzzy compactness via summability
Applied Mathematics Letters, cilt.22, sa.11, ss.1665-1669, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 11
- Basım Tarihi: 2009
- Doi Numarası: 10.1016/j.aml.2009.05.015
- Dergi Adı: Applied Mathematics Letters
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1665-1669
- Anahtar Kelimeler: Fuzzy convergence, Fuzzy point, G-Fuzzy sequential compactness, G-Fuzzy sequentially closed
- Maltepe Üniversitesi Adresli: Evet
Özet
A fuzzy subset α of a fuzzy topological space is fuzzy sequentially compact if any sequence x = (λanxn) of fuzzy points in α has a generalized fuzzy subsequence which is fuzzy convergent in α. More generally we say that a fuzzy subset α of a fuzzy topological space X is G-fuzzy sequentially compact if any sequence x = (λanxn) of fuzzy points in α has a generalized fuzzy subsequence y such that G (y) ∈ α where G is a function from a suitable subset of the set of all sequences of fuzzy points in X. We investigate some of the basic properties of this compactness and suggest some open problems. © 2009 Elsevier Ltd. All rights reserved.