Intuitionistic Fuzzy Rough Approximation Operators Determined by Intuitionistic Fuzzy Triangular Norms

被引:1
作者
Wu, Wei-Zhi [1 ]
Gu, Shen-Ming [1 ]
Li, Tong-Jun [1 ]
Xu, You-Hong [1 ]
机构
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316022, Zhejiang, Peoples R China
来源
ROUGH SETS AND KNOWLEDGE TECHNOLOGY, RSKT 2014 | 2014年 / 8818卷
关键词
Approximation operators; Intuitionistic fuzzy rough sets; Intuitionistic fuzzy sets; Intuitionistic fuzzy triangular norms; Rough sets; SETS;
D O I
10.1007/978-3-319-11740-9_60
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, relation-based intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy triangular norm T are investigated. By employing an intuitionistic fuzzy triangular norm T and its dual intuitionistic fuzzy triangular conorm, lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first introduced. Properties of T-intuitionistic fuzzy rough approximation operators are then examined. Relationships between special types of intuitionistic fuzzy relations and properties of T-intuitionistic fuzzy rough approximation operators are further explored.
引用
收藏
页码:653 / 662
页数:10
相关论文
共 17 条
[1]  
[Anonymous], 2010, Intuitionistic Fuzzy Sets: Theory and Applications
[2]  
Chakrabarty K., 1998, P 4 JOINT C INF SCI, P211
[3]   Intuitionistic fuzzy rough sets: at the crossroads of imperfect knowledge [J].
Cornelis, C ;
De Cock, M ;
Kerre, EE .
EXPERT SYSTEMS, 2003, 20 (05) :260-270
[4]   Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application [J].
Cornelis, C ;
Deschrijver, G ;
Kerre, EE .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2004, 35 (01) :55-95
[5]   Dominance-based rough set model in intuitionistic fuzzy information systems [J].
Huang, Bing ;
Li, Hua-xiong ;
Wei, Da-kuan .
KNOWLEDGE-BASED SYSTEMS, 2012, 28 :115-123
[6]  
Jena SP., 2002, Notes Intuitionistic Fuzzy Sets, V8, P1
[7]   Generalized fuzzy rough sets determined by a triangular norm [J].
Mi, Ju-Sheng ;
Leung, Yee ;
Zhao, Hui-Yin ;
Feng, Tao .
INFORMATION SCIENCES, 2008, 178 (16) :3203-3213
[8]  
Pawlak Z., 1991, Theoretical Aspects of Reasoning About Data, Rough sets, DOI [10.1007/978-94-011-3534-4, DOI 10.1007/978-94-011-3534-4]
[9]  
Radzikowska AM, 2006, LECT NOTES COMPUT SC, V4029, P528, DOI 10.1007/11785231_56
[10]   Living-related pediatric renal transplants: A single-center experience from a developing country [J].
Rizvi, SAH ;
Naqvi, SAA ;
Hussain, Z ;
Hashmi, A ;
Akhtar, F ;
Zafar, MN ;
Hussain, M ;
Ahmed, E ;
Kazi, JI ;
Hasan, AS ;
Khalid, R ;
Aziz, S ;
Sultan, S .
PEDIATRIC TRANSPLANTATION, 2002, 6 (02) :101-110