[图书][B] Formal concept analysis: mathematical foundations

B Ganter, R Wille - 2012 - books.google.com
Formal Concept AllalY. 5is is a field of applied mathematics based on the math ematization
of concept and conceptual hierarchy. It thereby activates math ematical thinking for …

[图书][B] Formale Begriffsanalyse: mathematische grundlagen

B Ganter, R Wille - 2013 - books.google.com
Dieses erste Lehrbuch zur Formalen Begriffsanalyse gibt eine systematische Darstellung
der mathematischen Grundlagen und ihrer Verbindung zu Anwendungen in der Informatik …

[HTML][HTML] On the complexity of enumerating pseudo-intents

F Distel, B Sertkaya - Discrete Applied Mathematics, 2011 - Elsevier
We investigate whether the pseudo-intents of a given formal context can efficiently be
enumerated. We show that they cannot be enumerated in a specified lexicographic order …

[HTML][HTML] The joy of implications, aka pure horn formulas: mainly a survey

M Wild - Theoretical Computer Science, 2017 - Elsevier
The joy of implications, aka pure Horn formulas: Mainly a survey - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

Decision systems in rough set theory: A set operatorial perspective

G Chiaselotti, T Gentile, F Infusino - Journal of Algebra and its …, 2019 - World Scientific
In rough set theory (RST), the notion of decision table plays a fundamental role. In this
paper, we develop a purely mathematical investigation of this notion to show that several …

Complexity results for implication bases of convex geometries

T Bichoupan - arXiv preprint arXiv:2211.08524, 2022 - arxiv.org
A convex geometry is finite zero-closed closure system that satisfies the anti-exchange
property. Complexity results are given for two open problems related to representations of …

[HTML][HTML] On implicational bases of closure systems with unique critical sets

K Adaricheva, JB Nation - Discrete Applied Mathematics, 2014 - Elsevier
We present results inspired by the study of closure systems with unique critical sets. Many of
these results, however, are of a more general nature. Among those is the statement that …

[HTML][HTML] Algorithms for k-meet-semidistributive lattices

L Beaudou, A Mary, L Nourine - Theoretical Computer Science, 2017 - Elsevier
In this paper we consider k-meet-semidistributive lattices and we are interested in the
computation of the set-colored poset associated to an implicational base. The parameter k is …

Translating between the representations of a ranked convex geometry

O Defrain, L Nourine, S Vilmin - Discrete Mathematics, 2021 - Elsevier
It is well known that every closure system can be represented by an implicational base, or by
the set of its meet-irreducible elements. In Horn logic, these are respectively known as the …

Cover preserving embedding of modular lattices into partition lattices

M Wild - Discrete mathematics, 1993 - Elsevier
When is a finite modular lattice cover preserving embeddable into a partition lattice? We
give some necessary, and slightly sharper sufficient conditions. For example, the class of …