On equivalence of conceptual scaling and generalized one-sided concept lattices

被引:37
作者
Butka, Peter [1 ]
Pocs, Jozef [2 ,3 ]
Pocsova, Jana [4 ]
机构
[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Cybernet & Artificial Intelligence, Kosice, Slovakia
[2] Slovak Acad Sci, Math Inst, Bratislava, Slovakia
[3] Palacky Univ Olomouc, Dept Algebra & Geometry, Olomouc, Czech Republic
[4] Tech Univ Kosice, BERG Fac, Inst Control & Informatizat Prod Proc, Kosice, Slovakia
关键词
Formal concept analysis; Scaling; Generalized one-sided concept lattice; Galois connection; FUZZY GALOIS CONNECTIONS; ADJOINT CONCEPT LATTICES; FORMAL CONCEPT ANALYSIS; REPRESENTATION; LOGIC;
D O I
10.1016/j.ins.2013.08.047
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The methods of conceptual scaling and generalized one-sided concept lattices represent different possibilities on how to deal with many-valued contexts. We briefly describe these methods and prove that they are equivalent. In particular, we show that the application of these two approaches to a given many-valued context yields the same closure system on the set of all objects. Based on this equivalence, we propose a possible attribute reduction of one-sided formal contexts. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:57 / 70
页数:14
相关论文
共 32 条
[1]  
[Anonymous], 1999, TATRA MOUNTAINS MATH
[2]  
[Anonymous], 2012, Formal concept analysis: mathematical foundations
[3]  
[Anonymous], 2001, DATA MINING COMPUTAT
[4]  
[Anonymous], T AM MATH SOC
[5]  
Antoni L., 2012, 9 INT C CONC LATT TH, P93
[6]   Concept lattices and order in fuzzy logic [J].
Belohlávek, R .
ANNALS OF PURE AND APPLIED LOGIC, 2004, 128 (1-3) :277-298
[7]  
Belohlávek R, 2001, MATH LOGIC QUART, V47, P111, DOI 10.1002/1521-3870(200101)47:1<111::AID-MALQ111>3.0.CO
[8]  
2-A
[9]   Fuzzy Galois connections [J].
Bêlohlávek, R .
MATHEMATICAL LOGIC QUARTERLY, 1999, 45 (04) :497-504
[10]  
Belohlavek R., 2005, P CLA, V2005, P34