A New Type of Soft Covering Based Rough Sets Applied to Multicriteria Group Decision Making for Medical Diagnosis

Abstract

In this work we define a new type of soft covering upper approximation operator and study its basic and topological properties. Comparing with other type of soft covering operation, our soft covering upper approximation is more accurate and have more properties. Based on the new type of soft covering upper approximation operator, we give a new kind of soft covering based rough sets. Also we present an example in medicine which determines the risk of prostate cancer. Our aim is to gain results more reasonable by using upper and lower approximations of a new kind of soft covering based rough sets and to help the doctor to determine that the patient needs biopsy or not.