Variable precision rough set model
Journal of Computer and System Sciences
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Rough Sets: Mathematical Foundations
Rough Sets: Mathematical Foundations
Heyting Wajsberg Algebras as an Abstract Environment Linking Fuzzy and Rough Sets
TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
Shadowed sets: representing and processing fuzzy sets
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On the Axioms of Residuated Structures: Independence, Dependencies and Rough Approximations
Fundamenta Informaticae
Generalized rough approximations in Ł Π12
International Journal of Approximate Reasoning
A Survey on the Algebras of the So---Called Intuitionistic Fuzzy Sets (IFS)
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Rough sets and near sets in medical imaging: a review
IEEE Transactions on Information Technology in Biomedicine - Special section on body sensor networks
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BZMVdM algebras are introduced as an abstract environment to describe both shadowed and fuzzy sets. This structure is endowed with two unusual complementations: a fuzzy one ¬ and an intuitionistic one ∼. Further, we show how to define in any BZMVdM algebra the Boolean subalgebra of exact elements and to give a rough approximation of fuzzy elements through a pair of exact elements using an interior and an exterior mapping.Then, we introduce the weaker notion of pre-BZMVdM algebra. This structure still have as models fuzzy and shadowed sets but with respect to a weaker notion of intuitionistic negation ∼α with α ∈ [0, ½). In pre-BZMVdM algebras it is still possible to define an interior and an exterior mapping but, in this case, we have to distinguish between open and closed exact elements.Finally, we see how it is possible to define α-cuts and level fuzzy sets in the pre-BZMVdM algebraic context of fuzzy sets.