Galois Connections and Data Analysis

Authors:
Marcin Wolski
Affiliations:
Department of Logic and Methodology of Science, Maria Curie-Skłodowska University, Lublin, Poland
Venue:
Fundamenta Informaticae - Concurrency Specification and Programming (CS&P 2003)
Year:
2003

Citing 3
Cited 10

Rough concept analysis: a synthesis of rough sets and formal concept analysis

Fundamenta Informaticae - Special issue: rough sets
Information Algebras

AMAST '95 Proceedings of the 4th International Conference on Algebraic Methodology and Software Technology
Modal-style operators in qualitative data analysis

ICDM '02 Proceedings of the 2002 IEEE International Conference on Data Mining

Satisfiability and Meaning of Formulas and Sets of Formulas in Approximation Spaces

Fundamenta Informaticae - Concurrency Specification and Programming (CS&P 2004)
A multiview approach for intelligent data analysis based on data operators

Information Sciences: an International Journal
Distance Measures Induced by Finite Approximation Spaces and Approximation Operators

Fundamenta Informaticae - Concurrency Specification and Programming (CS&P)
Scale coarsening as feature selection

ICFCA'08 Proceedings of the 6th international conference on Formal concept analysis
Information quanta and approximation operators: once more around the track

Transactions on rough sets VIII
Approaches to attribute reduction in concept lattices induced by axialities

Knowledge-Based Systems
Multi-adjoint property-oriented and object-oriented concept lattices

Information Sciences: an International Journal
Formal concept analysis and rough set theory from the perspective of finite topological approximations

Transactions on Rough Sets III
Rough set approximations in formal concept analysis

Transactions on Rough Sets V
The Construction of Fuzzy Concept Lattices Based on (&thgr;, σ)-Fuzzy Rough Approximation Operators

Fundamenta Informaticae - Knowledge Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

We investigate Galois connections and their relations to the major theories of (qualitative) data analysis: Rough Set Theory (RST), Formal Concept Analysis (FCA) and John Stuart Mill Reasoning (JSM-Reasoning). Polarities, a type of contravariant Galois connections, and their relationships with data analysis has been already well-known. This paper shows how axialities, a type of covariant Galois connections, are related to problems adressed by data analysis and prove that they give rise to a number of interesting lattices.