Fuzzy sets over the poset
Yükleniyor...
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The author studies fuzzy sets over the poset I = [0, 1] with the usual order. These form a canonical example of fuzzy sets over a poset discussed in (Tiryaki, ˙I. U. and Brown, L. M. Plain textures and fuzzy
sets via posets, preprint). Characterizations of these so called “soft fuzzy sets” are obtained, and soft fuzzy sets are shown to have a richer mathematical theory than classical I-fuzzy sets. In particular soft fuzzy
points behave like the points of crisp set theory with respect to join, and moreover there exists a Lowen type functor from Top to the construct SF-Top that preserves both separation and compactness.
Açıklama
Anahtar Kelimeler
Texture, Unit Interval Texture, Hutton Algebra, Fuzzy Subset, Soft Fuzzy Subset, SF-Topology, Ditopology, Generalized Lowen functor, Rotund Soft Fuzzy Set, Lowen Rotund Functor, Preservation of Topological Properties
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
37
Sayı
2