The rough sets theory and evidence theory
Fundamenta Informaticae
Uncertainty, belief, and probability
Computational Intelligence
On relationship between modified sets, topological spaces and rough sets
Fuzzy Sets and Systems
From rough set theory to evidence theory
Advances in the Dempster-Shafer theory of evidence
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Interpretations of belief functions in the theory of rough sets
Information Sciences: an International Journal - From rough sets to soft computing
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
On axiomatic characterisations of crisp approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Mathematical Foundations
Rough Sets: Mathematical Foundations
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
A Rough Set Approach to Measuring Information Granules
COMPSAC '02 Proceedings of the 26th International Computer Software and Applications Conference on Prolonging Software Life: Development and Redevelopment
Rough Approximate Operators: Axiomatic Rough Set Theory
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
On Rough Sets in Topological Boolean Algebras
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
Data mining, rough sets and granular computing
Data mining, rough sets and granular computing
Rough Set Theory and Granular Computing
Rough Set Theory and Granular Computing
Topological approaches to covering rough sets
Information Sciences: an International Journal
Attribute reduction based on evidence theory in incomplete decision systems
Information Sciences: an International Journal
Generalized rough sets based on reflexive and transitive relations
Information Sciences: an International Journal
Note on "Generalized rough sets based on reflexive and transitive relations"
Information Sciences: an International Journal
An Interpretation of Belief Functions on Infinite Universes in the Theory of Rough Sets
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Knowledge reduction in random information systems via Dempster-Shafer theory of evidence
Information Sciences: an International Journal
On the structure of generalized rough sets
Information Sciences: an International Journal
The minimization of axiom sets characterizing generalized approximation operators
Information Sciences: an International Journal
Rough sets and information granulation
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
Algebraic approach to generalized rough sets
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
Approximation spaces and information granulation
Transactions on Rough Sets III
Axiomatic systems for rough set-valued homomorphisms of associative rings
International Journal of Approximate Reasoning
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
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This paper presents a general framework for the study of mathematical structure of rough sets in infinite universes of discourse. Lower and upper approximations of a crisp set with respect to an infinite approximation space are first defined. Properties of rough approximation operators induced from various approximation spaces are examined. The relationship between a topological space and rough approximation operators is further established. By the axiomatic approach, various classes of rough approximation operators are characterized by different sets of axioms. The axiom sets of rough approximation operators guarantee the existence of certain types of crisp relations producing the same operators. The measurability structures of rough set algebras are also investigated. Finally, the connections between rough sets and Dempster-Shafer theory of evidence are also explored.