{"title":"Product Model of Grade Upper Approximation Operators Based on Two Parameters","authors":"Xianyong Zhang, S. Xie, Zhi-wen Mo","doi":"10.1109/ICIC.2010.158","DOIUrl":null,"url":null,"abstract":"The paper is to explore product operation of grade upper approximation operators. Based on logical product operation, it proposes product model of grade upper approximation operators based on two parameters. Essence, basic structure and properties are obtained in the new model. Macroscopic algorithm and structural algorithm are proposed and analyzed, and it obtains an important conclusion that structural algorithm has advantages in time complexity. The new model and its algorithms are illustrated by an example. Product model of grade upper approximation operators based on two parameters has extended graded rough set model partially, and it obtains idempotent property of grade upper approximation operators.","PeriodicalId":176212,"journal":{"name":"2010 Third International Conference on Information and Computing","volume":"99 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Third International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2010.158","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The paper is to explore product operation of grade upper approximation operators. Based on logical product operation, it proposes product model of grade upper approximation operators based on two parameters. Essence, basic structure and properties are obtained in the new model. Macroscopic algorithm and structural algorithm are proposed and analyzed, and it obtains an important conclusion that structural algorithm has advantages in time complexity. The new model and its algorithms are illustrated by an example. Product model of grade upper approximation operators based on two parameters has extended graded rough set model partially, and it obtains idempotent property of grade upper approximation operators.
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