In recent years the artificial intelligence has been developed rapidly since it can be applied easily to several areas like medical diagnosis, engineering and economics, among others. In this study we have devised a soft expert system (SES) as a prediction system for prostate cancer by using the prostate specific antigen (PSA), prostate volume (PV) and age factors of patients based on fuzzy sets and soft sets and have calculated the patients' prostate cancer risk. Our data set has been provided by the
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.
Many researchers defined some basic notions on soft topology and studied many properties. In this paper, we define soft regular generalized closed and open sets in soft topological spaces and studied their some properties. We introduce these concepts which are defined over an initial universe with a fixed set of parameters. We investigate behavior relative to union, intersection and soft subspaces of soft regular generalized closed sets. We show that every soft generalized closed set is soft regular generalized closed. Also, we investigate many basic properties of these concepts.
The concepts of I-R closed set,-set and α I N 5 -set are introduced via idealization. New decompositions of some weaker forms of continuity are obtained by using these sets.
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