Hutton Uniformity in the Context of Fuzzy Soft Sets

Authors

  • Vildan Cetkin Kocaeli University
  • Halis Aygun

Keywords:

fuzzy soft set, fuzzy soft topology, fuzzy soft remote neighborhood, fuzzy soft uniformity.

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 SET^3.

Author Biography

  • Vildan Cetkin, Kocaeli University
    Department of Mathematics

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Published

2016-10-30

Issue

Vol. 9 No. 4: (October 2016)

Section

Mathematical and Fuzzy Logic

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Hutton Uniformity in the Context of Fuzzy Soft Sets. (2016). European Journal of Pure and Applied Mathematics, 9(4), 419-433. https://ejpam.com/index.php/ejpam/article/view/2422