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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 782583, 9 pages
http://dx.doi.org/10.1155/2014/782583
Research Article

An Approach to the Concept of Soft Fuzzy Proximity

1Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380 Kocaeli, Turkey
2Department of Mathematics, University of Latvia, Riga 1002, Latvia

Received 2 August 2013; Accepted 9 December 2013; Published 26 March 2014

Academic Editor: Gerd Teschke

Copyright © 2014 Vildan Çetkin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this paper is to introduce the concept of soft fuzzy proximity. Firstly, we give the definitions of soft fuzzy proximity and Katsaras soft fuzzy proximity, and also we investigate the relations between the soft fuzzy proximity and slightly modified version of Katsaras soft fuzzy proximity. Secondly, we induce a soft fuzzy topology from a given soft fuzzy proximity by using soft fuzzy closure operator. Then, we obtain the initial soft fuzzy proximity from a given family of soft fuzzy proximities. So, we describe products in the category of soft fuzzy proximities. Finally, we show that a family of all soft fuzzy proximities on a given set constitutes a complete lattice.