Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Extensions and intentions in the rough set theory
Information Sciences: an International Journal
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
On axiomatic characterisations of crisp approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Incomplete Information: Rough Set Analysis
Incomplete Information: Rough Set Analysis
Rough Sets: Mathematical Foundations
Rough Sets: Mathematical Foundations
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Granular computing using information tables
Data mining, rough sets and granular computing
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Transactions on Rough Sets II: Rough Sets and Fuzzy Sets (Lecture Notes in Computer Science)
Transactions on Rough Sets II: Rough Sets and Fuzzy Sets (Lecture Notes in Computer Science)
Information Sciences: an International Journal
A short note on algebraic T-rough sets
Information Sciences: an International Journal
Algebraic aspects of generalized approximation spaces
International Journal of Approximate Reasoning
Electronic Notes in Theoretical Computer Science (ENTCS)
Information Sciences: an International Journal
Generalized lower and upper approximations in a ring
Information Sciences: an International Journal
Information Sciences: an International Journal
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Topological properties of generalized approximation spaces
Information Sciences: an International Journal
Nearness approximation space based on axiomatic fuzzy sets
International Journal of Approximate Reasoning
An application of rough sets to graph theory
Information Sciences: an International Journal
Topological characterizations of covering for special covering-based upper approximation operators
Information Sciences: an International Journal
Computing connected components of simple undirected graphs based on generalized rough sets
Knowledge-Based Systems
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In various generalized rough set models, definable concepts are used to approximate other concepts. Based on a unified abstract rough set theory, this paper investigates the mathematical structure of the set of definable concepts in several generalized rough set models such as relation based models, covering based models, and fuzzy based models. It is shown that there exist two kinds of interesting structures for the set of definable concepts, which are often used in rough set models: the complementary structure and the equational structure. In addition, relations between different rough set models are discussed.