An extension of Lowen`s uniformity to the fuzzy soft sets

Authors : İzzettin DEMİR, Oya ÖZBAKIR

Pages : 321-331

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Publication Date : 2018-10-15

Article Type : Research Paper

Abstract :In this paper, first we define the notion of a saturated fuzzy soft filter. Based on this, we introduce the notion of a fuzzy soft uniformity as a generalization of uniformity in the sense of Lowen. Also, we show how a fuzzy soft topology is derived from a fuzzy soft uniformity. Then, we give a new kind of fuzzy soft neighborhood system and investigate the relationship with a fuzzy soft uniformity. Finally, we show that a fuzzy soft uniformly continuous mapping  is a fuzzy soft continuous.
Keywords : Fuzzy soft set, fuzzy soft topology, saturated fuzzy soft filter, fuzzy soft uniformity, fuzzy soft uniformly continuous mapping