On Fuzzy Ordered Hyperideals in Ordered Semihyperrings

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Kazanci O., Yilmaz Ş., Davvaz B.

ADVANCES IN FUZZY SYSTEMS, cilt.2019, 2019 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2019
• Basım Tarihi: 2019
• Doi Numarası: 10.1155/2019/3693926
• Dergi Adı: ADVANCES IN FUZZY SYSTEMS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi-hyperideal is a fuzzy ordered bi-hyperideal, and, in a regular ordered semihyperring, fuzzy ordered quasi-hyperideal and fuzzy ordered bi-hyperideal coincide.