Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
Concept Data Analysis: Theory and Applications
Concept Data Analysis: Theory and Applications
Formal concept analysis via multi-adjoint concept lattices
Fuzzy Sets and Systems
Concept lattices of fuzzy contexts: Formal concept analysis vs. rough set theory
International Journal of Approximate Reasoning
Optimal triangular decompositions of matrices with entries from residuated lattices
International Journal of Approximate Reasoning
Concepts and fuzzy sets: Misunderstandings, misconceptions, and oversights
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
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We show that if two fuzzy relations, representing data tables with graded attributes, are ordinally equivalent then their concept lattices with respect to the Godel operations on chains are (almost) isomorphic and that the assumption of Godel operations is essential. We argue that measurement-theoretic results like this one are important for pragmatic reasons in relational data modeling and outline issues for future research.