Handling multicriteria fuzzy decision-making problems based on vague set theory
Fuzzy Sets and Systems
Measures of similarity between vague sets
Fuzzy Sets and Systems
Structures on intuitionistic fuzzy relations
Fuzzy Sets and Systems
Information Sciences: an International Journal
Extensions and intentions in the rough set theory
Information Sciences: an International Journal
Multicriteria fuzzy decision-making problems based on vague set theory
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
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
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Intuitionistic fuzzy information - Applications to pattern recognition
Pattern Recognition Letters
Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets
Journal of Computer and System Sciences
Information Sciences: an International Journal
Generalized rough sets over fuzzy lattices
Information Sciences: an International Journal
On generalized intuitionistic fuzzy rough approximation operators
Information Sciences: an International Journal
Axiomatic systems for rough sets and fuzzy rough sets
International Journal of Approximate Reasoning
Fuzzy Sets and Systems
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
A note on similarity measures between vague sets and between elements
Information Sciences: an International Journal
On the structure of generalized rough sets
Information Sciences: an International Journal
Rough set theory for topological spaces
International Journal of Approximate Reasoning
Guest editorial: Advances in fuzzy sets and rough sets
International Journal of Approximate Reasoning
Similarity measures between vague sets and between elements
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
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Rough set theory and vague set theory are powerful tools for managing uncertain, incomplete and imprecise information. This paper extends the rough vague set model based on equivalence relations and the rough fuzzy set model based on fuzzy relations to vague sets. We mainly focus on the lower and upper approximation operators of vague sets based on vague relations, and investigate the basic properties of approximation operators on vague sets. Specially, we give some essential characterizations of the lower and upper approximation operators generated by reflexive, symmetric, and transitive vague relations. Finally, we structure a parameterized roughness measure of vague sets and similarity measure methods between two rough vague sets, and obtain some properties of the roughness measure and similarity measures. We also give some valuable counterexamples and point out some false properties of the roughness measure in the paper of Wang et al.