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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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