On (L, M)-Double Fuzzy Filter Spaces

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Abd El-Latif A. A., AYGÜN H., ÇETKİN V.

ADVANCES IN FUZZY SYSTEMS, vol.2018, 2018 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2018
  • Publication Date: 2018
  • Doi Number: 10.1155/2018/3871282
  • Journal Name: ADVANCES IN FUZZY SYSTEMS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Kocaeli University Affiliated: Yes

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.