A comparative study of fuzzy sets and rough sets
Information Sciences: an International Journal
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Rough Sets: Mathematical Foundations
Rough Sets: Mathematical Foundations
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
Shadowed sets and related algebraic structures
Fundamenta Informaticae
Brouwer-Zadeh posets and three-valued Ł ukasiewicz posets
Fuzzy Sets and Systems
On triangular norms and uninorms definable in Ł Π12
International Journal of Approximate Reasoning
Algebraic structures for rough sets
Transactions on Rough Sets II
Fuzzy rough sets based on residuated lattices
Transactions on Rough Sets II
Shadowed sets: representing and processing fuzzy sets
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy logics with an additional involutive negation
Fuzzy Sets and Systems
Tractable approximate knowledge fusion using the Horn fragment of serial propositional dynamic logic
International Journal of Approximate Reasoning
A unifying abstract approach for rough models
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
Generalization of Pawlak's rough approximation spaces by using δβ-open sets
International Journal of Approximate Reasoning
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In this paper we will treat a generalization of inner and outer approximations of fuzzy sets, which we will call R-inner and R-outer approximations respectively (R being any finite set of rational numbers in [0,1]). In particular we will discuss the case of those fuzzy sets which are definable in the logic L@P12 by means of step functions from the hypercube [0,1]^k and taking value in an arbitrary (finite) subset of [0,1]@?Q. Then, we will show that if a fuzzy set is definable as truth table of a formula of L@P12, then both its R-inner and R-outer approximation are definable as truth table of formulas of L@P12. Finally, we will introduce a generalization of abstract approximation spaces and compare our approach with the notion of fuzzy rough set.