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Book ChapterDOI

Generating Fuzzy Attribute Rules Via Fuzzy Formal Concept Analysis

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TLDR
This paper introduces a new kind of attribute implications considering the fuzzy notions of support and confidence and is also focused on the particular case in which the set of attributes are intensions.
Abstract
Extracting knowledge from databases is a procedure which interest has increased in a wide variety of areas like stock market, medicine or census data, to name a few. A compact representation of this knowledge is given by rules. Formal concept analysis plays an important role in this area. This paper introduces a new kind of attribute implications considering the fuzzy notions of support and confidence and is also focused on the particular case in which the set of attributes are intensions. Moreover, an application to clustering for size reduction of concept lattices is included.

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Citations
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Journal ArticleDOI

Rough-set-driven approach for attribute reduction in fuzzy formal concept analysis

TL;DR: A new method to reduce attributes in Fuzzy FCA is introduced considering the reduction philosophy given in RST and its main properties, which allows a deeper study of the relation between these two theories.
Journal ArticleDOI

Disjunctive attribute dependencies in formal concept analysis under the epistemic view of formal contexts

TL;DR: The notion of disjunctive attribute implications, which reflect additional information that can be extracted from an epistemic context, are presented, and it is shown that they can be computed like standard attribute implications from the complementary context.
Book ChapterDOI

Impact of Local Congruences in Attribute Reduction

TL;DR: This paper presents a study that relates local congruences to attribute reduction in FCA, and analyzes the impact in the context of the use of local Congruences, when they are used for complementing an attribute reduction.
Journal ArticleDOI

Generalized quantifiers in formal concept analysis

TL;DR: This paper introduces four kind of generalized quantifiers based on adjoint triples, which generalize the current approaches to a more flexible framework and presents the conjunctive and implicative concept-forming operators in this outstanding theory.
References
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Proceedings ArticleDOI

Mining association rules between sets of items in large databases

TL;DR: An efficient algorithm is presented that generates all significant association rules between items in the database of customer transactions and incorporates buffer management and novel estimation and pruning techniques.
Journal ArticleDOI

Formal Concept Analysis

TL;DR: FCA explicitly formalises extension and intension of a concept, their mutual relationships, and the fact that increasing intent implies decreasing extent and vice versa, and allows to derive a concept hierarchy from a given dataset.
Journal ArticleDOI

Association rule mining to detect factors which contribute to heart disease in males and females

TL;DR: It is seen that factors such as chest pain being asymptomatic and the presence of exercise-induced angina indicate the likely existence of heart disease for both men and women, and resting ECG status is a key distinct factor for heart disease prediction.
Journal ArticleDOI

Formal concept analysis via multi-adjoint concept lattices

TL;DR: Concept lattices under a multi-adjoint paradigm are shown to embed different fuzzy extensions of concept lattices found in the literature, the main results of the paper being the representation theorem of this paradigm and the embedding of other well-known approaches.

Implications partielles dans un contexte

TL;DR: In this article, an extension of the theory of implications entre attributs binaires and implications partielles is presented, in which a partir de donnees experimentales on s'interesse non seulement aux implications (globales), mais aussi aux "implications avec quelques contre exemples" (exemples) offrent une possibilite d'extraire des informations supplementaires.