Abstract
Formal concept analysis (FCA) originally proposed by Wille [39], is an important theory for data analysis and knowledge discovery. Concept lattice is the core of the mathematical theory of formal concept analysis. To address the requirements of real word applications, concept lattice has been extended to many other forms from the theoretical point of view and possible applications. In this paper, with the aim of deriving the mathematical properties of formal concepts from the point of algebra, we propose a new algebra system for the formal context. Under the frame of the proposed system, some interesting properties of formal concepts are explored, which could be applied to explore concept hierarchy and ontology merging.
Original language | English |
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Pages (from-to) | 4865-4876 |
Number of pages | 12 |
Journal | Information Sciences |
Volume | 180 |
Issue number | 24 |
DOIs | |
Publication status | Published - 15 Dec 2010 |
Keywords
- Algebraic structure
- Concept lattice
- Formal concept
- Ontology merging
ASJC Scopus subject areas
- Software
- Control and Systems Engineering
- Theoretical Computer Science
- Computer Science Applications
- Information Systems and Management
- Artificial Intelligence