On (L, M)-Double Fuzzy Filter Spaces
ADVANCES IN FUZZY SYSTEMS, cilt.2018, 2018 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2018
- Basım Tarihi: 2018
- Doi Numarası: 10.1155/2018/3871282
- Dergi Adı: ADVANCES IN FUZZY SYSTEMS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Evet
Özet
We give in this paper the definitions of (L, M)-double fuzzy filter base and (L, M)-double fuzzy filter structures where L and M are strictly two-sided commutative quantales, and we also investigate the relations between them. Moreover, we propose second-order image and preimage operators of (L, M)-double fuzzy filter base and study some of its fundamental properties. Finally, we handle the given structures in the categorical aspect. For instance, we show that the category (L, M)-DFIL of (L, M)-double fuzzy filter spaces and filter maps between these spaces is a topological category over the category SET.