Incomplete information and concept lattices

被引:2
|
作者
Krupka, Michal [1 ]
Lastovicka, Jan [1 ]
机构
[1] Palacky Univ, Dept Comp Sci, Olomouc, Czech Republic
关键词
Incomplete information; conditional set; concept lattice; Boolean algebra; fuzzy logic; FUZZY-SETS; SHEAVES;
D O I
10.1080/03081079.2017.1301444
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We present a mathematical model of sets with incomplete information about identity of elements and the membership relation. The model is based on L-valued sets where L is a complete atomic Boolean algebra. We present general foundations of the theory with emphasis on partially ordered sets and complete lattices. As an application, we show a method for constructing structures that represent the concept lattice of an incomplete binary dataset.
引用
收藏
页码:235 / 274
页数:40
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