Fuzzy sets over the poset

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Tarih

2008

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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

Künye