2011•Unpublished venueRequires access

An approach to the computation of distance of concept lattice by utilizing waned value of intension

Ping Yuan, Yuan Ma

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Abstract

Concept lattice, which is a core data structure of the theory of formal concept analysis, has been widely applied to many fields. By computing the distance between concepts of a concept lattice, objects of the formal context can be analyzed clusteredly, so that the required data of the users can be obtained. In the concept lattice, a new approach to computing the distance between concepts is proposed, and the mathematical induction is used to prove this. The approach firstly computes the waned value of intension between concepts, and then computes the distance between concepts of a concept lattice by using the addition of the waned value of intension.

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What this paper is about

Concept lattice, which is a core data structure of the theory of formal concept analysis, has been widely applied to many fields. By computing the distance between concepts of a concept lattice, objects of the formal context can be analyzed clusteredly, so that the required data of the users can be obtained. In the concept lattice, a new approach to computing the distance between concepts is proposed, and the mathematical induction is used to prove this. The approach firstly computes the waned value of intension between concepts, and then computes the distance between concepts of a concept lattice by using the addition of the waned value of intension.

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Available abstract

Concept lattice, which is a core data structure of the theory of formal concept analysis, has been widely applied to many fields. By computing the distance between concepts of a concept lattice, objects of the formal context can be analyzed clusteredly, so that the required data of the users can be obtained. In the concept lattice, a new approach to computing the distance between concepts is proposed, and the mathematical induction is used to prove this. The approach firstly computes the waned value of intension between concepts, and then computes the distance between concepts of a concept lattice by using the addition of the waned value of intension.

Key concepts: Intension, Lattice Miner, Formal concept analysis, Lattice (music), Computer science, Computation, Theoretical computer science, Mathematics

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