Linguistic truth-valued concept lattice based on lattice-valued logic

被引:11
|
作者
Yang, Li [1 ]
Xu, Yang [1 ]
机构
[1] SW Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 610031, Peoples R China
关键词
concept lattice; linguistic truth-valued logic; Galois connection; degree concept;
D O I
10.2991/iske.2007.280
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The theory of concept lattice is approached from the view of formal logic. In this paper, we present a new relationship between concept lattice and lattice-valued logic for dealing with uncertainty linguistic information conveniently. We give the definition of degree linguistic truth-valued concept lattice and linguistic many-valued context according to the concrete linguistic information and establish linguistic truth-valued context with the help of lattice implication algebra. On the basis of this, we discuss the completeness of the set of degree concepts in accordance with the defined Galois connection and do further research on the properties of degree linguistic truth-valued concept lattice.
引用
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页数:1
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