A Dynamic Interval-Valued Intuitionistic Fuzzy Sets Applied to Pattern Recognition. (25th June 2013)

• Record Type: Journal Article
• Authors: Zhang, Zhenhua; Wang, Min; Hu, Yong; Yang, Jingyu; Ye, Youpei; Li, Yafang
• Other Names: Balas Valentina E. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-06-25
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/408012
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We present dynamic interval-valued intuitionistic fuzzy sets (DIVIFS), which can improve the recognition accuracy when they are applied to pattern recognition. By analyzing the degree of hesitancy, we propose some DIVIFS models from intuitionistic fuzzy sets (IFS) and interval-valued IFS (IVIFS). And then we present a novel ranking condition on the distance of IFS and IVIFS and introduce some distance measures of DIVIFS satisfying the ranking condition. Finally, a pattern recognition example applied to medical diagnosis decision making is given to demonstrate the application of DIVIFS and its distances. The simulation results show that the DIVIFS method is more comprehensive and flexible than the IFS method and the IVIFS method.