Information Sciences: an International Journal
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy Sets and Systems
On axiomatic characterisations of crisp approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Rough set theory applied to (fuzzy) ideal theory
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
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
Rough-fuzzy functions in classification
Fuzzy Sets and Systems
Fuzzy discretization of feature space for a rough set classifier
Pattern Recognition Letters - Special issue: Rough sets, pattern recognition and data mining
Interval-Set Algebra for Qualitative Knowledge Representation
ICCI '93 Proceedings of the Fifth International Conference on Computing and Information
Modeling, identification, and control of a class of nonlinear systems
IEEE Transactions on Fuzzy Systems
Rough fuzzy MLP: knowledge encoding and classification
IEEE Transactions on Neural Networks
A roughness measure for fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
A novel approach to fuzzy rough sets based on a fuzzy covering
Information Sciences: an International Journal
Minimization of axiom sets on fuzzy approximation operators
Information Sciences: an International Journal
Granulation of a fuzzy set: Nonspecificity
Information Sciences: an International Journal
Information Sciences: an International Journal
Rough set theory for the interval-valued fuzzy information systems
Information Sciences: an International Journal
The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets
Information Sciences: an International Journal
Fuzzy rough set theory for the interval-valued fuzzy information systems
Information Sciences: an International Journal
Generalisation of roughness bounds in rough set operations
International Journal of Approximate Reasoning
A short note on algebraic T-rough sets
Information Sciences: an International Journal
The algebraic structures of generalized rough set theory
Information Sciences: an International Journal
Fuzzy radicals and prime fuzzy ideals of ordered semigroups
Information Sciences: an International Journal
An Equivalent Definition of Rough Sets
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
A comparison of two types of rough sets induced by coverings
International Journal of Approximate Reasoning
Relationship among basic concepts in covering-based rough sets
Information Sciences: an International Journal
A roughness measure for fuzzy sets
Information Sciences: an International Journal
Information Sciences: an International Journal
Multi knowledge based rough approximations and applications
Knowledge-Based Systems
Roughness bounds in rough set operations
Information Sciences: an International Journal
Roughness based on fuzzy ideals
Information Sciences: an International Journal
The fourth type of covering-based rough sets
Information Sciences: an International Journal
Topological characterizations of covering for special covering-based upper approximation operators
Information Sciences: an International Journal
Rough sets in the Soft Computing environment
Information Sciences: an International Journal
An Axiomatic Approach to the Roughness Measure of Rough Sets
Fundamenta Informaticae
Bipolar fuzzy rough set model on two different universes and its application
Knowledge-Based Systems
Minimal Description and Maximal Description in Covering-based Rough Sets
Fundamenta Informaticae
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In this paper, two new operators are introduced for the rough set theory. Using them, two inequalities well known in the rough set theory can now be modified to become equalities. With this change, no information will be lost in the new expressions. Hence, many properties in rough set theory can be improved and in particular, the union, the intersection, and the complement operations can be redefined based on the two equalities. Furthermore, the collection of rough sets of an approximation space forms a Boolean algebra under these new operators. Finally, roughness properties of fuzzy sets are analyzed using the new operations.