Gradual inference rules in approximate reasoning
Information Sciences: an International Journal
Construction of the L-fuzzy concept lattice
Fuzzy Sets and Systems
The study of the interval-valued contexts
Fuzzy Sets and Systems
Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices
Fundamenta Informaticae
A Possibility-Theoretic View of Formal Concept Analysis
Fundamenta Informaticae - New Frontiers in Scientific Discovery - Commemorating the Life and Work of Zdzislaw Pawlak
Triangle algebras: A formal logic approach to interval-valued residuated lattices
Fuzzy Sets and Systems
Treatment of L-Fuzzy contexts with absent values
Information Sciences: an International Journal
Many-Valued Concept Lattices for Conceptual Clustering and Information Retrieval
Proceedings of the 2008 conference on ECAI 2008: 18th European Conference on Artificial Intelligence
A constructive method for the definition of interval-valued fuzzy implication operators
Fuzzy Sets and Systems
Possibility theory and formal concept analysis: context decomposition and uncertainty handling
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Handling different format initial data in a cooperative decision making process
CDVE'11 Proceedings of the 8th international conference on Cooperative design, visualization, and engineering
Fuzzy Optimization and Decision Making
On galois connections and soft computing
IWANN'13 Proceedings of the 12th international conference on Artificial Neural Networks: advences in computational intelligence - Volume Part II
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Fuzzy formal concept analysis is concernedwith formal contexts expressing scalar-valued fuzzy relationships between objects and their properties. Existing fuzzy approaches assume that the relationship between a given object and a given property is a matter of degree in a scale L (generally [0,1]). However, the extent to which "object o has property a" may be sometimes hard to assess precisely. Then it is convenient to use a sub-interval from the scale L rather than a precise value. Such formal contexts naturally lead to interval-valued fuzzy formal concepts. The aim of the paper is twofold. We provide a sound minimal set of algebraic requirements for interval-valued implications in order to fulfill the fuzzy closure properties of the resulting Galois connection. Secondly, a new approach based on a generalization of Gödel implication is proposed for building the complete lattice of all interval-valued fuzzy formal concepts.