Handbook of logic in artificial intelligence and logic programming (vol. 3)
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
ICCS '00 Proceedings of the Linguistic on Conceptual Structures: Logical Linguistic, and Computational Issues
A Logical Generalization of Formal Concept Analysis
ICCS '00 Proceedings of the Linguistic on Conceptual Structures: Logical Linguistic, and Computational Issues
Generalized Formal Concept Analysis
ICCS '00 Proceedings of the Linguistic on Conceptual Structures: Logical Linguistic, and Computational Issues
Learning of Simple Conceptual Graphs from Positive and Negative Examples
PKDD '99 Proceedings of the Third European Conference on Principles of Data Mining and Knowledge Discovery
Complete and Incomplete Knowledge in Logical Information Systems
ECSQARU '01 Proceedings of the 6th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Pattern Structures and Their Projections
ICCS '01 Proceedings of the 9th International Conference on Conceptual Structures: Broadening the Base
Introduction to logical information systems
Information Processing and Management: an International Journal
A Possibility-Theoretic View of Formal Concept Analysis
Fundamenta Informaticae - New Frontiers in Scientific Discovery - Commemorating the Life and Work of Zdzislaw Pawlak
Bipolar version space learning
International Journal of Intelligent Systems - Bipolar Representations of Information and Preference Part 2: Reasoning and Learning
An Efficient Algorithm for Naive Possibilistic Classifiers with Uncertain Inputs
SUM '08 Proceedings of the 2nd international conference on Scalable Uncertainty Management
Pattern Structures for Analyzing Complex Data
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
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
Rough set approximations in formal concept analysis
Transactions on Rough Sets V
Managing information fusion with formal concept analysis
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
Review: Formal Concept Analysis in knowledge processing: A survey on models and techniques
Expert Systems with Applications: An International Journal
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A fruitful analogy between possibility theory and formal concept analysis has recently contributed to show the interest of introducing new operators in this latter setting. In particular, another Galois connection, distinct from the classical one that defines formal concepts, has been laid bare which allows for the decomposition of a formal context into sub-contexts when possible. This paper pursues a similar investigation by considering pattern structures which are known to offer a generalization of formal concept analysis. The new operators as well as the other Galois connection are introduced in this framework, where an object is associated to a structured description rather than just to its set of properties. The description may take many different forms. In this paper, we more particularly focus on two important particular cases, namely ordered lists of intervals, and propositional knowledge bases, which both allow for incomplete descriptions. They are then extended to fuzzy and uncertain descriptions by introducing fuzzy intervals and possibilistic logic bases respectively in these two settings.