Fuzzy Sets and Systems
Theory of topological molecular lattices
Fuzzy Sets and Systems
Fuzzy rough sets: application to feature selection
Fuzzy Sets and Systems
Extensions and intentions in the rough set theory
Information Sciences: an International Journal
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
On Axiomatic Characterizations of Fuzzy Approximation Operators
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
On Axiomatic Characterization of Fuzzy Approximation Operators II. The Rough Fuzzy Set Based Case
ISMVL '01 Proceedings of the 31st IEEE International Symposium on Multiple-Valued Logic
Topological approaches to covering rough sets
Information Sciences: an International Journal
Generalized rough sets based on reflexive and transitive relations
Information Sciences: an International Journal
Relationship among basic concepts in covering-based rough sets
Information Sciences: an International Journal
On fuzzy rough sets based on tolerance relations
Information Sciences: an International Journal
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
Information Sciences: an International Journal
Algebraic structures for rough sets
Transactions on Rough Sets II
Information Sciences: an International Journal
A general frame for intuitionistic fuzzy rough sets
Information Sciences: an International Journal
Tolerance Approximation Spaces
Fundamenta Informaticae
A novel method for attribute reduction of covering decision systems
Information Sciences: an International Journal
Information Sciences: an International Journal
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Rough set, a tool for data mining, deals with the vagueness and granularity in information systems. In 2006, Chen et al. initiated the study of rough approximations on a complete completely distributive lattice (CCD lattice for short) and brought generalizations of rough sets into a unified framework. In this paper, we discuss the approximation operators on a CCD lattice. Based on the concept of neighborhood, three kinds of upper approximation operators and a kind of lower approximation operator are constructed. Basic properties of lower and upper approximation operators are examined. Furthermore, the relationships among these operators are analyzed.