Monotone concepts for formal concept analysis

Jitender S. Deogun; Jamil Saquer

doi:10.1016/j.dam.2004.05.001

Monotone concepts for formal concept analysis

Jitender S. Deogun, Jamil Saquer

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

Formal concept analysis has been a topic of interest for about two decades. The mathematical notion of concept has its origin in formal logic. However, the empirical notion of concept has evolved through its use in many different disciplines. In this paper, we generalize the mathematical notion of concept and investigate order-theoretic properties of concept hierarchies for the new notion of concept.

Original language	English (US)
Pages (from-to)	70-78
Number of pages	9
Journal	Discrete Applied Mathematics
Volume	144
Issue number	1-2
DOIs	https://doi.org/10.1016/j.dam.2004.05.001
State	Published - Nov 30 2004
Externally published	Yes

Keywords

Concept lattice
Elementary concepts
Formal concept analysis
Generalization
Monotone concepts

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1016/j.dam.2004.05.001

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abstract = "Formal concept analysis has been a topic of interest for about two decades. The mathematical notion of concept has its origin in formal logic. However, the empirical notion of concept has evolved through its use in many different disciplines. In this paper, we generalize the mathematical notion of concept and investigate order-theoretic properties of concept hierarchies for the new notion of concept.",

keywords = "Concept lattice, Elementary concepts, Formal concept analysis, Generalization, Monotone concepts",

author = "Deogun, {Jitender S.} and Jamil Saquer",

note = "Funding Information: This research was supported in part by the NSF EPSCoR, Grant No. EPS-0091900, and NSF Digital Government Grant No. EIA-0091530. ",

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AU - Saquer, Jamil

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Y1 - 2004/11/30

N2 - Formal concept analysis has been a topic of interest for about two decades. The mathematical notion of concept has its origin in formal logic. However, the empirical notion of concept has evolved through its use in many different disciplines. In this paper, we generalize the mathematical notion of concept and investigate order-theoretic properties of concept hierarchies for the new notion of concept.

AB - Formal concept analysis has been a topic of interest for about two decades. The mathematical notion of concept has its origin in formal logic. However, the empirical notion of concept has evolved through its use in many different disciplines. In this paper, we generalize the mathematical notion of concept and investigate order-theoretic properties of concept hierarchies for the new notion of concept.

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KW - Elementary concepts

KW - Formal concept analysis

KW - Generalization

KW - Monotone concepts

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ER -

Monotone concepts for formal concept analysis

Abstract

Keywords

ASJC Scopus subject areas

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