On (L, M)-Double Fuzzy Filter Spaces. (15th May 2018)

• Record Type: Journal Article
• Authors: Abd El-Latif, A. A.; Aygün, H.; Çetkin, V.
• Other Names: Kilic Kemal Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2018(2018)
• Publication Date: 2018-05-15
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2018/3871282
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : 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 .