Properties of measures of information in evidence and possibility theories
Fuzzy Sets and Systems - Special Issue: Measures of Uncertainty
The Combination of Evidence in the Transferable Belief Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
The rough sets theory and evidence theory
Fundamenta Informaticae
Computing generalized belief functions for continuous fuzzy sets
International Journal of Approximate Reasoning
Fuzzy set connectives as combinations of belief structures
Information Sciences: an International Journal
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 fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
The normative representation of quantified beliefs by belief functions
Artificial Intelligence
Data mining using extensions of the rough set model
Journal of the American Society for Information Science - Special issue: knowledge discovery and data mining
Interpretations of belief functions in the theory of rough sets
Information Sciences: an International Journal - From rough sets to soft computing
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
On axiomatic characterisations of crisp approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Modeling vague beliefs using fuzzy-valued belief structures
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
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
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
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
An axiomatic characterization of a fuzzy generalization of rough sets
Information Sciences—Informatics and Computer Science: An International Journal
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Information-preserving hybrid data reduction based on fuzzy-rough techniques
Pattern Recognition Letters
Fuzzy subsethood and belief functions of fuzzy events
Fuzzy Sets and Systems
Topological approaches to covering rough sets
Information Sciences: an International Journal
Minimization of axiom sets on fuzzy approximation operators
Information Sciences: an International Journal
Learning fuzzy rules from fuzzy samples based on rough set technique
Information Sciences: an International Journal
Rough fuzzy approximations on two universes of discourse
Information Sciences: an International Journal
Attribute reduction based on evidence theory in incomplete decision systems
Information Sciences: an International Journal
On fuzzy approximation operators in attribute reduction with fuzzy rough sets
Information Sciences: an International Journal
Measures of general fuzzy rough sets on a probabilistic space
Information Sciences: an International Journal
Generalized fuzzy rough sets determined by a triangular norm
Information Sciences: an International Journal
Generalized rough sets based on reflexive and transitive relations
Information Sciences: an International Journal
On generalized fuzzy belief functions in infinite spaces
IEEE Transactions on Fuzzy Systems
The model of fuzzy variable precision rough sets
IEEE Transactions on Fuzzy Systems
On characterizations of ( I,T)-fuzzy rough approximation operators
Fuzzy Sets and Systems
On the topological properties of fuzzy rough sets
Fuzzy Sets and Systems
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
On generalized rough fuzzy approximation operators
Transactions on Rough Sets V
Applicability analysis of fuzzy inference by means of generalized Dempster-Shafer theory
IEEE Transactions on Fuzzy Systems
Generalization of the Dempster-Shafer theory: a fuzzy-valued measure
IEEE Transactions on Fuzzy Systems
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
Fuzzy Rough Sets: The Forgotten Step
IEEE Transactions on Fuzzy Systems
Fuzzy-Rough Sets Assisted Attribute Selection
IEEE Transactions on Fuzzy Systems
Paper: Evidence measures based on fuzzy information
Automatica (Journal of IFAC)
International Journal of Approximate Reasoning
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
On fuzzy topological structures of rough fuzzy sets
Transactions on Rough Sets XVI
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In this paper, a general framework for the study of fuzzy rough approximation operators determined by a triangular norm in infinite universes of discourse is investigated. Lower and upper approximations of fuzzy sets with respect to a fuzzy approximation space in infinite universes of discourse are first introduced. Essential properties of various types of T-fuzzy rough approximation operators are then examined. An operator-oriented characterization of fuzzy rough sets is also proposed, that is, T-fuzzy rough approximation operators are defined by axioms. Different axiom sets of upper and lower fuzzy set-theoretic operators guarantee the existence of different types of fuzzy relations which produce the same operators. A comparative study of T-fuzzy rough set algebras with some other mathematical structures are presented. It is proved that there exists a one-to-one correspondence between the set of all reflexive and T-transitive fuzzy approximation spaces and the set of all fuzzy Alexandrov spaces such that the lower and upper T-fuzzy rough approximation operators are, respectively, the fuzzy interior and closure operators. It is also shown that a reflexive fuzzy approximation space induces a measurable space such that the family of definable fuzzy sets in the fuzzy approximation space forms the fuzzy σ-algebra of the measurable space. Finally, it is explored that the fuzzy belief functions in the Dempster-Shafer of evidence can be interpreted by the T-fuzzy rough approximation operators in the rough set theory, that is, for any fuzzy belief structure there must exist a probability fuzzy approximation space such that the derived probabilities of the lower and upper approximations of a fuzzy set are, respectively, the T-fuzzy belief and plausibility degrees of the fuzzy set in the given fuzzy belief structure. (This work was supported by grants from the National Natural Science Foundation of China (Nos. 61075120, 60673096 and 60773174), and the Natural Science Foundation of Zhejiang Province (No. Y107262).)