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Accession number: 20102212966519 Title: Interval-valued intuitionistic fuzzy rough sets based on implicators Authors: Zhang, Zhi-Ming1 ; Tian, Jing-Feng2 Author affiliation: 1 College of Mathematics and Computer Sciences, Hebei University, Baoding 071002, China 2 Science and Technology College, North China Electric Power University, Baoding 071051, China Corresponding author: Zhang, Z.-M. (zhangzm1978@yahoo.com.cn) Source title: Kongzhi yu Juece/Control and Decision Abbreviated source title: Kongzhi yu Juece Control Decis Volume: 25 Issue: 4 Issue date: April 2010 Publication year: 2010 Pages: 614-618 Language: Chinese ISSN: 10010920 CODEN: KYJUEF Document type: Journal article (JA) Publisher: Northeast University, P.O. Box 125, Shenyang, 110005, China Abstract: A kind of interval-valued intuitionistic fuzzy rough set model based on an interval-valued intuitionistic fuzzy implicator is proposed. Firstly, the concepts of an interval-valued intuitionistic fuzzy set, an interval-valued intuitionistic fuzzy relation and interval-valued intuitionistic fuzzy logical operators are introduced. Then, by employing an interval-valued intuitionistic fuzzy triangle norm and an interval-valued intuitionistic fuzzy implicator, upper approximations and lower approximations of interval-valued intuitionistic fuzzy sets with respect to an interval-valued intuitionistic fuzzy approximation space are defined. Finally, basic properties of these interval-valued intuitionistic fuzzy rough approximation operators are examined. Number of references: 17 Main heading: Fuzzy sets Controlled terms: Rough set theory Uncontrolled terms: Basic properties - Implicator - Interval-valued - Interval-valued intuitionistic fuzzy sets - Intuitionistic fuzzy - Intuitionistic fuzzy relations - Intuitionistic fuzzy sets - Lower approximation - Rough set - Upper approximation Classification code: 921 Mathematics - 921.4 Combinatorial Mathematics, Includes Graph Theory, Set Theory Database: Compendex Compilation and indexing terms, © 2009 Elsevier Inc. |

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