2012•Concept Lattices and their ApplicationsRequires access

Relationship between Two FCA Approaches on Heterogeneous Formal Contexts.

Ondrej Kr, Bohuslav Macek, Lenka Pisková, Pavol Jozef

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Abstract

We show a relationship between two theoretical approaches of Formal Concept Analysis working with so-called heterogeneous formal context i.e. such context in which each object and attribute can have own data-type. One of them is presented in (19); each value in a formal context is some Galois connection between the lattices corresponding to the appropriate object and attribute. Another approach is presented in our paper (1) and it is a unifying platform of approaches from (14) and (11), (12). In this paper, we prove that each of them can be derived from another.

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What this paper is about

We show a relationship between two theoretical approaches of Formal Concept Analysis working with so-called heterogeneous formal context i.e. such context in which each object and attribute can have own data-type. One of them is presented in (19); each value in a formal context is some Galois connection between the lattices corresponding to the appropriate object and attribute. Another approach is presented in our paper (1) and it is a unifying platform of approaches from (14) and (11), (12). In this paper, we prove that each of them can be derived from another.

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Available abstract

We show a relationship between two theoretical approaches of Formal Concept Analysis working with so-called heterogeneous formal context i.e. such context in which each object and attribute can have own data-type. One of them is presented in (19); each value in a formal context is some Galois connection between the lattices corresponding to the appropriate object and attribute. Another approach is presented in our paper (1) and it is a unifying platform of approaches from (14) and (11), (12). In this paper, we prove that each of them can be derived from another.

Key concepts: Formal concept analysis, Galois connection, Context (archaeology), Computer science, Lattice Miner, Object (grammar), Formal description, Formal methods

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