On (L,M)-Double Fuzzy Filter Spaces

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)-dou...

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Bibliographic Details
Published in:Advances in fuzzy systems 2018-01, Vol.2018 (2018), p.1-15
Main Authors: Abd El-Latif, A. A., Çetkin, V., Aygün, H.
Format: Article
Language:English
Subjects:
Algebra
Fuzzy sets
Mathematics
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Summary: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.
ISSN:1687-7101
1687-711X
DOI:10.1155/2018/3871282