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Over many different kinds of cryptomorphisms equivalent with closure systems (and so with closure operators), we focus here on implication relations and the related overhanging relations, as introduced and axiomatized in a previous paper (Domenach and Leclerc, Math Soc Sci 47(3):349–366, 2004). In relation with data analysis motivations, we particularize the axioms on overhanging relations in order...
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