{"title":"基于软覆盖的新型粗糙集在医疗诊断多准则群决策中的应用","authors":"Z. Ergul, S. Yuksel","doi":"10.36753/mathenot.559242","DOIUrl":null,"url":null,"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.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A New Type of Soft Covering Based Rough Sets Applied to Multicriteria Group Decision Making for Medical Diagnosis\",\"authors\":\"Z. Ergul, S. Yuksel\",\"doi\":\"10.36753/mathenot.559242\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":127589,\"journal\":{\"name\":\"Mathematical Sciences and Applications E-Notes\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Sciences and Applications E-Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36753/mathenot.559242\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/mathenot.559242","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A New Type of Soft Covering Based Rough Sets Applied to Multicriteria Group Decision Making for Medical Diagnosis
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.
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