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Fuzzy Concept Lattices with Incomplete Knowledge
2012We study the problem of incomplete data in Formal Concept Analysis in fuzzy setting, namely the problem of constructing a concept lattice of incomplete data. We develop a simple general framework for dealing with unknown values in fuzzy logic, define incomplete fuzzy formal contexts, and present a method of constructing concept lattices of such ...
Michal Krupka, Jan Lastovicka
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A clustering reduction algorithm for fuzzy concept lattice
2017 13th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2017Formal concept analysis is a powerful tool in analyzing data and extracting rules from the formal context. The main framework of formal concept analysis is concept lattice which essentially describes the relationship between the objects and the attributes. And each node of the concept lattice is a formal concept.
Qiangyi Zhang +3 more
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Various fuzzy connections and fuzzy concepts in complete co-residuated lattices
International Journal of Approximate Reasoning, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ju-Mok Oh, Yong Chan Kim
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Unifying fuzzy concept lattice construction methods
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016Formal Concept Analysis (FCA) and its fuzzy extension have been widely used to arrange data into a lattice that is an effective data structure useful to address several aims, such as: data mining, ontology learning and merging, and so on. In literature it is possible to distinguish two main approaches to address fuzzy FCA implementation: the one-sided ...
BOFFA, STEFANIA +5 more
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Dynamic and evolving fuzzy concept lattices
2013 IEEE Conference on Evolving and Adaptive Intelligent Systems (EAIS), 2013Fuzzy formal concept analysis enables us to add structure to data by identifying 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).
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Connecting Systems of Mathematical Fuzzy Logic with Fuzzy Concept Lattices
2018Peer ...
Pietro Codara +3 more
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On Fuzzy Generalizations of Concept Lattices
2018We provide an overview of different generalizations of formal concept analysis based on Fuzzy logic. Firstly, we recall a common platform for early fuzzy approaches and then, we deal with the data heterogeneity and its various extensions. A second-order formal context makes a bridge between the early fuzzy extensions and the heterogeneous frameworks. A
Lubomir Antoni +2 more
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Reducing the Size of Fuzzy Concept Lattices by Hedges
The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05., 2005We study concept lattices with hedges. The principal aim is to control, in a parametrical way, the size of a concept lattice. The paper presents theoretical insight, comments, and examples. We show that a concept lattice with hedges is indeed a complete lattice which is isomorphic to an ordinary concept lattice.
Radim Belohlávek, Vilém Vychodil
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Fuzzy concept lattice construction: A basis for building fuzzy ontologies
2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011), 2011Fuzzy concept lattices are being used as the basis for creating fuzzy ontologies. Fuzzy formal contexts serve as the starting point for which a variety of proposed methods have been used to create fuzzy concept lattices from them. This paper reviews two of these methods: the one-sided threshold approach and the fuzzy closure operator approach and ...
Valerie Cross, Meenakshi Kandasamy
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Concept lattices and similarity in non-commutative fuzzy logic
Fundamenta Informaticae, 2002A classical (crisp) concept is given by its extent (a set of objects) and its intent (a set of properties). In commutative fuzzy logic, the generalization comes naturally, considering fuzzy sets of objects and properties. In both cases (the first being actually a particular case of the second), the situation is perfectly symmetrical: a concept is given
George Georgescu, Andrei Popescu 0001
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