Attribute Logic Formula Description of Granule and Its Application to Build Concept Lattice

被引：0
|
作者：
Wu, Xia [1 ]
Zhang, Jialu [1 ]
Lu, Ruhua [2 ]
机构：
[1] College of Mathematics and Finance, Xiangnan University, Chenzhou, China
[2] College of Software and Communication Engineering, Xiangnan University, Chenzhou, China
来源：
IEEE Access | 2020年 / 8卷
关键词：
Formal concept analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper focus on the granule description based on formal concept analysis. First, we introduce the notion of attribute logic formula in a formal context, and then prove a general granule description theorem by using attribute logic formulas. Second, we prove some basic granule description theorems based on concept, property-oriented concept and object-oriented concept respectively. Third, we propose some methods that use attribute logic formulas to describe concept, property-oriented concept and object-oriented concept respectively, and prove that a property-oriented concept lattice and an object-oriented concept lattice are anti-isomorphic. Finally, we apply granule description methods to build concept lattice, property-oriented concept lattice and object-oriented concept lattice, propose some algorithms for building concept lattice, property-oriented concept lattice and object-oriented concept lattice, and give some examples and experiments to show the utility of algorithms. © 2013 IEEE.
引用
收藏
页码：12592 / 12606
相关论文
共 39 条
  • [31] Rough Control Rule Mining Model Based on Decision Interval Concept Lattice and Its Application
    Sun, Ailing
    Zhang, Chunying
    Wang, Liya
    Wang, Zhijiang
    BIG DATA TECHNOLOGY AND APPLICATIONS, 2016, 590 : 83 - 92
  • [32] WEAKLY CLOSED LABEL CONCEPT LATTICE AND ITS APPLICATION TO RULE ACQUISITION IN DECISION FORMAL CONTEXTS
    Li, Jinhai
    Wang, Junhong
    Mei, Changlin
    Zhang, Xiao
    PROCEEDINGS OF 2013 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOLS 1-4, 2013, : 658 - 663
  • [33] A Novel Interval Three-Way Concept Lattice Model with Its Application in Medical Diagnosis
    Hu, Junhua
    Chen, Dan
    Liang, Pei
    MATHEMATICS, 2019, 7 (01)
  • [34] (Not) Communicating the Environmental Friendliness of Food Packaging to Consumers-An Attribute- and Cue-Based Concept and Its Application
    Dornyei, Krisztina Rita
    Bauer, Anna-Sophia
    Krauter, Victoria
    Herbes, Carsten
    FOODS, 2022, 11 (09)
  • [35] Interval Linguistic-Valued Intuitionistic Fuzzy Concept Lattice and Its Application to Linguistic Association Rule Extraction
    Pang, Kuo
    Fu, Chao
    Zou, Li
    Wang, Gaoxuan
    Lu, Mingyu
    AXIOMS, 2024, 13 (12)
  • [36] Linguistic Truth-value Lattice-valued Logic System with Important Coefficient and Its Application to Evaluation System
    Meng, Dan
    Jia, Huading
    Zhang, Zaiqiang
    Xu, Yang
    INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND NETWORK SECURITY, 2006, 6 (06): : 1 - 6
  • [37] Multi-granularity dominance rough concept attribute reduction over hybrid information systems and its application in clinical decision-making
    Chu, Xiaoli
    Sun, Bingzhen
    Chu, Xiaodong
    Wu, Jiaqi
    Han, Keyu
    Zhang, Yan
    Huang, Qingchun
    Information Sciences, 2022, 597 : 274 - 299
  • [38] Multi-granularity dominance rough concept attribute reduction over hybrid information systems and its application in clinical decision-making
    Chu, Xiaoli
    Sun, Bingzhen
    Chu, Xiaodong
    Wu, Jiaqi
    Han, Keyu
    Zhang, Yan
    Huang, Qingchun
    INFORMATION SCIENCES, 2022, 597 : 274 - 299
  • [39] Bipolar δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document}-equal complex fuzzy concept lattice with its application
    Prem Kumar Singh
    Neural Computing and Applications, 2020, 32 (7) : 2405 - 2422
1234