Fuzzy Sets in UP-algebras with Respect to A Triangular Norm

Pakpimon BURANDATE; Sawittree THONGARSA; Aiyared IAMPAN

Makale detayları

Fuzzy Sets in UP-algebras with Respect to A Triangular Norm

Yazarlar:

Pakpimon BURANDATE | Sawittree THONGARSA | Aiyared IAMPAN

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2019 Vol.7 Issue 2, pp.410-432

Belge Tipi:

Makale

Yayın Tarihi:

10/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000535900

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 


In this paper, we apply the notion of fuzzy sets with respect to a triangular norm to UP-algebras. We introduce the notions of TTT-fuzzy UP-subalgebras, TTT-fuzzy near UP-filters, TTT-fuzzy UP-filters, TTT-fuzzy UP-ideals, and TTT-fuzzy strongly UP-ideals, their properties are investigated and some useful examples are discussed. We discuss the relations between TTT-fuzzy UP-subalgebras (resp., TTT-fuzzy near UP-filters, TTT-fuzzy UP-filters, TTT-fuzzy UP-ideals, and TTT-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.

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Makale detayları

Fuzzy Sets in UP-algebras with Respect to A Triangular Norm

Yazarlar: Pakpimon BURANDATE | Sawittree THONGARSA | Aiyared IAMPAN

Yayıncı: Mehmet Zeki SARIKAYA

Ana Başlıklar: Uygulamalı fizik

Dergi: Konuralp Journal of Mathematics 2019 Vol.7 Issue 2, pp.410-432

Belge Tipi: Makale

Yayın Tarihi: 10/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000535900

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

Pakpimon BURANDATE | Sawittree THONGARSA | Aiyared IAMPAN

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2019 Vol.7 Issue 2, pp.410-432

Belge Tipi:

Makale

Yayın Tarihi:

10/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000535900

Sıklık:

İki Yıllık

eISSN:

2147-625X