Open Access
2014 An Approach to the Concept of Soft Fuzzy Proximity
Vildan Çetkin, Alexander P. Šostak, Halis Aygün
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/782583


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.


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Vildan Çetkin. Alexander P. Šostak. Halis Aygün. "An Approach to the Concept of Soft Fuzzy Proximity." Abstr. Appl. Anal. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023061
MathSciNet: MR3191064
Digital Object Identifier: 10.1155/2014/782583

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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