Title of Paper:A new algebraic structure for formal concept analysis

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Date of Publication:2010-12-15

Journal:INFORMATION SCIENCES

Included Journals:SCIE、EI、Scopus

Volume:180

Issue:24

Page Number:4865-4876

ISSN No.:0020-0255

Key Words:Formal concept; Concept lattice; Algebraic structure; Ontology merging

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. (C) 2010 Elsevier Inc. All rights reserved.