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    Soft Covering Based Rough Sets and Their Application
    (HINDAWI PUBLISHING CORPORATION, 2014) Yuksel, Saziye; Ergul, Zehra Guzel; Tozlu, Naime
    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 Selcuk University Meram Medicine Faculty.
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    Soft filter
    (Springer Heidelberg, 2014) Yuksel, Saziye; Tozlu, Naime; Ergul, Zehra Guzel
    We have studied some soft neighbourhood properties in a soft topological space and introduced soft filters which are defined over an initial universe with a fixed set of parameters. We have set up a soft topology with the help of a soft filter. We also have introduced the concepts of the greatest lower bound and the least upper bound of the family of soft filters over an initial universe, soft filter subbase and soft filter base. Also, we have explored some basic properties of these concepts.