Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
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
A New Algebraic Tool for Automatic Theorem Provers
Annals of Mathematics and Artificial Intelligence
Journal of Logic and Computation
Fuzzy logic programming via multilattices
Fuzzy Sets and Systems
System of fuzzy relation equations with inf-→ composition: Complete set of solutions
Fuzzy Sets and Systems
Lindig's Algorithm for Concept Lattices over Graded Attributes
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
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
Multi-adjoint t-concept lattices
Information Sciences: an International Journal
Computing the lattice of all fixpoints of a fuzzy closure operator
IEEE Transactions on Fuzzy Systems - Special section on computing with words
Towards multi-adjoint property-oriented concept lattices
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
On fuzzy relational equations and the covering problem
Information Sciences: an International Journal
Multi-adjoint property-oriented and object-oriented concept lattices
Information Sciences: an International Journal
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
Solution to the covering problem
Information Sciences: an International Journal
Resolution of fuzzy relational equations - Method, algorithm and software with applications
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
Hi-index | 0.07 |
This paper generalizes fuzzy relation equations following the multi-adjoint philosophy. Moreover, the solutions of these general fuzzy relation equations and the concepts of a multi-adjoint property-oriented concept lattice are related, and several results are obtained from the theory of concept lattices. As a consequence of this relevant relation, more properties about these general equations can be proven from the theory of concept lattices and the algorithms developed to compute concept lattices can be used to obtain solutions. Furthermore, an interesting application to fuzzy logic programming has been introduced, in which an important problem in this topic has been interpreted in terms of solving a multi-adjoint relation equation.