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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,...
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