Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
Complexity Reduction in Lattice-Based Information Retrieval
Information Retrieval
RESTRUCTURING LATTICE THEORY: AN APPROACH BASED ON HIERARCHIES OF CONCEPTS
ICFCA '09 Proceedings of the 7th International Conference on Formal Concept Analysis
Concept lattices in software analysis
Formal Concept Analysis
Logical analysis of concept lattices by factorization
ICFCA'12 Proceedings of the 10th international conference on Formal Concept Analysis
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It is a well-known fact that complete tolerance relations on concept lattices are in one-to-one correspondence with some superrelations (called block relations) of the incidence relation of the underlying formal context. However, sometimes it is useful to consider more general superrelations of the incidence relation, leading to tolerance relations, not compatible with the lattice structure of the concept lattice. In this paper, we give a characterization of such tolerances and present a mathematical framework for factorizing any complete lattice by such incompatible tolerances.