Similarity relations, fuzzy partitions, and fuzzy orderings
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Fuzzy Sets and Systems
Further remarks on the relation between rough and fuzzy sets
Fuzzy Sets and Systems
Interval structure: a framework for representing uncertain information
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Fuzzy implication operators and generalized fuzzy method of cases
Fuzzy Sets and Systems
On the relationship of extended necessity measures to implication operators on the unit interval
Information Sciences—Intelligent Systems: An International Journal
Fuzzy Sets and Systems
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
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
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
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
On domain-partitioning induction criteria: worst-case bounds for the worst-case based
Theoretical Computer Science
A compendium of fuzzy weak orders: Representations and constructions
Fuzzy Sets and Systems
Additive decomposition of fuzzy pre-orders
Fuzzy Sets and Systems
Information Sciences: an International Journal
On characterizations of ( I,T)-fuzzy rough approximation operators
Fuzzy Sets and Systems
Characterisation of main classes of fuzzy relations using fuzzy modal operators
Fuzzy Sets and Systems
Fuzzy Rough Sets: The Forgotten Step
IEEE Transactions on Fuzzy Systems
Knowledge Reduction in Formal Contexts Based on Covering Rough Sets
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Reasoning within expressive fuzzy rough description logics
Fuzzy Sets and Systems
Ambiguous representations as fuzzy relations between sets
Fuzzy Sets and Systems
Dominance-based fuzzy rough approach to an interval-valued decision system
Frontiers of Computer Science in China
Probabilistic rough set over two universes and rough entropy
International Journal of Approximate Reasoning
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Based on a crisp binary relation between two universes of discourse, one crisp covering and three crisp binary relations on the single universe of discourse are induced in this paper. Based on these induced notions, four pairs of rough approximation operators are formulated so that the approximating sets and the approximated sets are on the same universe of discourse. Furthermore, basic properties of the new approximation operators are investigated, and the relationships among the operators are also examined. Subsequently, conditions under which some or all of these approximation operators are equivalent are obtained. On the other hand, the generalizations of these rough approximation operators are also made in a fuzzy approximation space via a fuzzy implicator I and a triangular norm T. Consequently, four pairs of fuzzy rough approximation operators are constructed. Basic properties and comparison of the fuzzy rough approximation operators are discussed. If I is an R-implicator with respect to a t-norm T, then it is shown that three pairs of the fuzzy rough approximation operators are identical iff the induced fuzzy covering is a fuzzy T-partition.