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Attribute-oriented fuzzy concept lattices and standard fuzzy concept lattices induce the same similarity on objects

Fuzzy Sets and Systems, 2016
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FAST FACTORIZATION BY SIMILARITY OF FUZZY CONCEPT LATTICES WITH HEDGES

International Journal of Foundations of Computer Science, 2008
The paper presents results on factorization by similarity of fuzzy concept lattices with hedges. A fuzzy concept lattice is a hierarchically ordered collection of clusters extracted from tabular data. The basic idea of factorization by similarity is to have, instead of a possibly large original fuzzy concept lattice, its factor lattice.
Radim Belohlávek   +2 more
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Knowledge Reduction in Crisply Generated Fuzzy Concept Lattices

Fundamenta Informaticae, 2015
Knowledge reduction is a basic issue in knowledge representation and data mining. Although various methods have been developed to reduce the size of classical formal contexts, the reduction of formal fuzzy contexts based on fuzzy lattices remains a difficult problem owing to its complicated derivation operators.
Meizheng Li, Guoyin Wang 0001
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Construction of fuzzy concept lattice and its application

2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery, 2010
Aiming at the knowledge mining from fuzzy and uncertain information, the definition mode and properties of the fuzzy formal context are discussed in the paper. The method of constructing the fuzzy concept lattice of the fuzzy formal context is proposed, in that the definition of fuzzy product concept is the core: the intents of two concepts are ...
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What is a Fuzzy Concept Lattice? II

2011
This paper is a follow up to "Belohlavek, Vychodil: What is a fuzzy concept lattice?, Proc. CLA 2005, 34-45", in which we provided a then up-to-date overview of various approaches to fuzzy concept lattices and relationships among them. The main goal of the present paper is different, namely to provide an overview of conceptual issues in fuzzy concept ...
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Conceptual Reduction of Fuzzy Dual Concept Lattices

2010
In this paper we discuss the conceptual reduction of fuzzy dual concept lattices. Three pairs of operators in a fuzzy formal context are introduced. Based on the proposed operators, we present three types of variable threshold dual concept lattices. The properties and the relations of them are discussed.
Xiaoxue Song, Wen-Xiu Zhang, Qiang Zhao
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Change mining in evolving fuzzy concept lattices

Evolving Systems, 2014
Fuzzy formal concept analysis enables us to add structure to data by ide ntifying coherent groups of related objects and attributes. In a situation where data is added dynamically, the concept lattice may evolve in different ways—either in content (more objects added to existing concepts) or in structure (entirely new concepts are created). This change
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Fuzzy-Attributes and a Method to Reduce Concept Lattices

2014
Reducing the size of the concept lattices is a fundamental problem in formal concept analysis. This paper presents several properties of useful fuzzy-attributes, in the general case of multi-adjoint concept lattices. Moreover, the use of these fuzzy-attributes provides a mechanism to reduce the size of concept lattices considering a subset of the ...
María Eugenia Cornejo Piñero   +2 more
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Social Network and One-sided Fuzzy Concept Lattices

2007 IEEE International Fuzzy Systems Conference, 2007
In this paper we present information about our experiment with a social network of students from one school class. Each pupil has characterized his/her relationships to all schoolmates by value from the given range. Then we use onesided fuzzy concept lattice, a special method of relational data analysis, and especially modified Rice-Siff's algorithm to
Stanislav Krajci, Jana Krajciova
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Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices

Fundamenta Informaticae, 2001
Presented is a reduction of fuzzy Galois connections and fuzzy concept lattices to (crisp) Galois connections and concept lattices: each fuzzy concept lattice can be viewed as a concept lattice (in a natural way). As a result, a simple proof of the characterization theorem for fuzzy concept lattices is obtained.
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