Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Reengineering of configurations based on mathematical concept analysis
ACM Transactions on Software Engineering and Methodology (TOSEM)
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Understanding class hierarchies using concept analysis
ACM Transactions on Programming Languages and Systems (TOPLAS)
Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
Debugging temporal specifications with concept analysis
PLDI '03 Proceedings of the ACM SIGPLAN 2003 conference on Programming language design and implementation
Visualizing class interfaces with formal concept analysis
OOPSLA '03 Companion of the 18th annual ACM SIGPLAN conference on Object-oriented programming, systems, languages, and applications
Concept Data Analysis: Theory and Applications
Concept Data Analysis: Theory and Applications
Mining Non-Redundant Association Rules
Data Mining and Knowledge Discovery
Similarity relations and fuzzy orderings
Information Sciences: an International Journal
Grouping fuzzy sets by similarity
Information Sciences: an International Journal
Heuristic-Based Approach for Constructing Hierarchical Knowledge Structures
IEA/AIE '09 Proceedings of the 22nd International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems: Next-Generation Applied Intelligence
Discovery of optimal factors in binary data via a novel method of matrix decomposition
Journal of Computer and System Sciences
Direct factorization by similarity of fuzzy concept lattices by factorization of input data
CLA'06 Proceedings of the 4th international conference on Concept lattices and their applications
Constructing tree-based knowledge structures from text corpus
Applied Intelligence
Conceptual-driven classification for coding advise in health insurance reimbursement
Artificial Intelligence in Medicine
Conceptual reduction of fuzzy dual concept lattices
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Factorization of fuzzy concept lattices with hedges by modification of input data
Annals of Mathematics and Artificial Intelligence
What is a fuzzy concept lattice? II
RSFDGrC'11 Proceedings of the 13th international conference on Rough sets, fuzzy sets, data mining and granular computing
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We present a method of fast factorization in formal concept analysis (FCA) of data with fuzzy attributes. The output of FCA consists of a partially ordered collection of clusters extracted from a data table describing objects and their attributes. The collection is called a concept lattice. Factorization by similarity enables us to obtain, instead of a possibly large concept lattice, its factor lattice. The elements of the factor lattice are maximal blocks of clusters which are pairwise similar to degree exceeding a user-specified threshold. The factor lattice thus represents an approximate version of the original concept lattice. We describe a fuzzy closure operator the fixed points of which are just clusters which uniquely determine the blocks of clusters of the factor lattice. This enables us to compute the factor lattice directly from the data without the need to compute the whole concept lattice. We present theoretical solution and examples demonstrating the speed-up of our method.