Hutton Uniformity in the Context of Fuzzy Soft Sets

ÇETKİN V., AYGÜN H.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.9, no.4, pp.419-433, 2016 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 4
  • Publication Date: 2016
  • Journal Name: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.419-433
  • Kocaeli University Affiliated: Yes

Abstract

In this paper, we introduce the concept of fuzzy soft uniformity in Hutton's sense. We define topological fuzzy soft remote neighborhood system and use this for investigating the relationship between fuzzy soft cotopology and fuzzy soft (quasi-)uniformity. We show the existence of the initial structure of fuzzy soft uniformities and also we prove the category of fuzzy soft uniform spaces is a topological category over SET3.