In this paper, we apply the notion of fuzzy sets with respect to a triangular norm to UP-algebras. We introduce the notions of $T$-fuzzy UP-subalgebras, $T$-fuzzy near UP-filters, $T$-fuzzy UP-filters, $T$-fuzzy UP-ideals, and $T$-fuzzy strongly UP-ideals, their properties are investigated and some useful examples are discussed. We discuss the relations between $T$-fuzzy UP-subalgebras (resp., $T$-fuzzy near UP-filters, $T$-fuzzy UP-filters, $T$-fuzzy UP-ideals, and $T$-fuzzy strongly UP-ideals) and a notion of UP-subalgebras (resp., near UP-filters, UP-filters, UP-ideals, strongly UP-ideals), and their level subsets and UP-homomorphisms are studied. Moreover, we have introduced the notion of fuzzy sets with respect to a triangular norm of anti-type in UP-algebras, and studied the properties as well as previous notions.
UP-algebra $T$-fuzzy UP-subalgebra $T$-fuzzy near UP-filter $T$-fuzzy UP-filter $T$-fuzzy UP-ideal $T$-fuzzy strongly UP-ideal
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Ekim 2019 |
Gönderilme Tarihi | 21 Nisan 2019 |
Kabul Tarihi | 20 Eylül 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 7 Sayı: 2 |