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The Scientific World Journal
Volume 2014, Article ID 970893, 9 pages
http://dx.doi.org/10.1155/2014/970893
Research Article

Soft Covering Based Rough Sets and Their Application

1Department of Mathematics, Faculty of Science, Selçuk University, 42003 Konya, Turkey
2Department of Mathematics, Faculty of Science and Art, Ahi Evran University, 40100 Kırşehir, Turkey
3Department of Mathematics, Faculty of Science and Art, Niğde University, 51100 Niğde, Turkey

Received 6 June 2014; Accepted 10 August 2014; Published 9 September 2014

Academic Editor: Feng Feng

Copyright © 2014 Şaziye Yüksel 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

Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives rise to the new kind of soft rough sets. Based on the covering soft sets, we establish soft covering approximation space and soft covering rough approximation operators and present their basic properties. We show that a new type of the soft covering upper approximation operator is smaller than soft upper approximation operator. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our data are 78 patients from Selçuk University Meram Medicine Faculty.