Structures of Opposition in Fuzzy Rough Sets

被引:14
作者
Ciucci, Davide [1 ]
Dubois, Didier [2 ]
Prade, Henri [2 ]
机构
[1] Univ Milano Bicocca, DISCo, I-20126 Milan, Italy
[2] Univ Toulouse 3, IRIT, F-31062 Toulouse 9, France
关键词
square of opposition; fuzzy set; fuzzy relation; rough set; SQUARE; LOGICS;
D O I
10.3233/FI-2015-1282
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
The square of opposition is as old as logic. There has been a recent renewal of interest on this topic, due to the emergence of new structures (hexagonal and cubic) extending the square. They apply to a large variety of representation frameworks, all based on the notions of sets and relations. After a reminder about the structures of opposition, and an introduction to their gradual extensions (exemplified on fuzzy sets), the paper more particularly studies fuzzy rough sets and rough fuzzy sets in the setting of gradual structures of opposition.
引用
收藏
页码:1 / 19
页数:19
相关论文
共 46 条
[1]  
Amgoud L., 2013, LNCS, V7958
[2]  
[Anonymous], HDB 2 WORLD C SQUAR
[3]  
[Anonymous], HDB 4 WORLD C SQUAR
[4]  
[Anonymous], HDB CATEGORIZATION C
[5]  
[Anonymous], 1999, B SECT LOGIC
[6]  
Belohlavek R., 2002, Fuzzy Relational Systems: Foundations and Principles, DOI DOI 10.1007/978-1-4615-0633-1
[7]  
Beziau J.-Y., 2003, LOGICAL INVESTIGATIO, V10, P218
[8]  
Beziau J.-Y., 2010, HDB 3 WORLD C SQUAR
[9]   The Power of the Hexagon [J].
Beziau, Jean-Yves .
LOGICA UNIVERSALIS, 2012, 6 (1-2) :1-43
[10]  
Blanche Robert., 1966, Structures intellectuelles