Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
Multi-adjoint Logic Programming with Continuous Semantics
LPNMR '01 Proceedings of the 6th International Conference on Logic Programming and Nonmonotonic Reasoning
Modal-style operators in qualitative data analysis
ICDM '02 Proceedings of the 2002 IEEE International Conference on Data Mining
Associatively tied implications
Fuzzy Sets and Systems - Theme: Basic concepts
Galois Connections and Data Analysis
Fundamenta Informaticae - Concurrency Specification and Programming (CS&P 2003)
A Possibility-Theoretic View of Formal Concept Analysis
Fundamenta Informaticae - New Frontiers in Scientific Discovery - Commemorating the Life and Work of Zdzislaw Pawlak
Reduction method for concept lattices based on rough set theory and its application
Computers & Mathematics with Applications
Construction of rough approximations in fuzzy setting
Fuzzy Sets and Systems
A multiview approach for intelligent data analysis based on data operators
Information Sciences: an International Journal
Concept analysis via rough set and AFS algebra
Information Sciences: an International Journal
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
On fuzzy unfolding: A multi-adjoint approach
Fuzzy Sets and Systems
Fuzzy Optimization and Decision Making
Rough set approximations in formal concept analysis
Transactions on Rough Sets V
Relating attribute reduction in formal, object-oriented and property-oriented concept lattices
Computers & Mathematics with Applications
A comparative study of adjoint triples
Fuzzy Sets and Systems
Solving systems of fuzzy relation equations by fuzzy property-oriented concepts
Information Sciences: an International Journal
Using one axiom to characterize rough set and fuzzy rough set approximations
Information Sciences: an International Journal
Dual multi-adjoint concept lattices
Information Sciences: an International Journal
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
Multi-adjoint relation equations: Definition, properties and solutions using concept lattices
Information Sciences: an International Journal
Information Sciences: an International Journal
Multi-adjoint fuzzy rough sets: Definition, properties and attribute selection
International Journal of Approximate Reasoning
On equivalence of conceptual scaling and generalized one-sided concept lattices
Information Sciences: an International Journal
Using concept lattice theory to obtain the set of solutions of multi-adjoint relation equations
Information Sciences: an International Journal
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This paper presents a generalisation of the classical property and object-oriented concept lattices to a fuzzy environment based on the philosophy of the multi-adjoint paradigm. These concept lattices are generalisations of rough set theory used to consider two different sets - the set of objects and the set of attributes - to apply the corresponding modal operators, as in formal concept analysis. First of all, the paper presents several specific properties of adjoint triples in which the duals of several supports are considered. These properties are then used to introduce the multi-adjoint property and object-oriented concept lattices, in which different adjoint triples can be used in non-linear sets, as well as the corresponding representation (fundamental) theorems. Moreover, these lattices are related to the multi-adjoint concept lattice, in which negation operators are not needed; as a result, this relation allows the properties to be translated from one to another.