Fuzzy sets over the poset $Bbb{I}$

tiryaki, ismail uğur

Fuzzy sets over the poset $Bbb{I}$

İsmail U. TİRYAKİ (Abant İzzet Baysal Üniversitesi, Bolu, Türkiye)

Hacettepe Journal of Mathematics and Statistics

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Yıl: 2008 Cilt: 37 Sayı: 2 Sayfa Aralığı: 143 - 166 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Fuzzy sets over the poset $Bbb{I}$

Öz:

The author studies fuzzy sets over the poset $Bbb {I}$ = [0, 1] with the usual order. These form a canonical example of fuzzy sets over a poset dis- cussed in (Tiryaki, İ.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.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	tiryaki i (2008). Fuzzy sets over the poset $Bbb{I}$. , 143 - 166.
Chicago	tiryaki ismail uğur Fuzzy sets over the poset $Bbb{I}$. (2008): 143 - 166.
MLA	tiryaki ismail uğur Fuzzy sets over the poset $Bbb{I}$. , 2008, ss.143 - 166.
AMA	tiryaki i Fuzzy sets over the poset $Bbb{I}$. . 2008; 143 - 166.
Vancouver	tiryaki i Fuzzy sets over the poset $Bbb{I}$. . 2008; 143 - 166.
IEEE	tiryaki i "Fuzzy sets over the poset $Bbb{I}$." , ss.143 - 166, 2008.
ISNAD	tiryaki, ismail uğur. "Fuzzy sets over the poset $Bbb{I}$". (2008), 143-166.

APA	tiryaki i (2008). Fuzzy sets over the poset $Bbb{I}$. Hacettepe Journal of Mathematics and Statistics, 37(2), 143 - 166.
Chicago	tiryaki ismail uğur Fuzzy sets over the poset $Bbb{I}$. Hacettepe Journal of Mathematics and Statistics 37, no.2 (2008): 143 - 166.
MLA	tiryaki ismail uğur Fuzzy sets over the poset $Bbb{I}$. Hacettepe Journal of Mathematics and Statistics, vol.37, no.2, 2008, ss.143 - 166.
AMA	tiryaki i Fuzzy sets over the poset $Bbb{I}$. Hacettepe Journal of Mathematics and Statistics. 2008; 37(2): 143 - 166.
Vancouver	tiryaki i Fuzzy sets over the poset $Bbb{I}$. Hacettepe Journal of Mathematics and Statistics. 2008; 37(2): 143 - 166.
IEEE	tiryaki i "Fuzzy sets over the poset $Bbb{I}$." Hacettepe Journal of Mathematics and Statistics, 37, ss.143 - 166, 2008.
ISNAD	tiryaki, ismail uğur. "Fuzzy sets over the poset $Bbb{I}$". Hacettepe Journal of Mathematics and Statistics 37/2 (2008), 143-166.