Variable precision rough set model
Journal of Computer and System Sciences
Variable precision extension of rough sets
Fundamenta Informaticae - Special issue: rough sets
Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
Inclusion grade and fuzzy implication operators
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
On rational cardinality-based inclusion measures
Fuzzy Sets and Systems
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
Sinha-Dougherty approach to the fuzzification of set inclusion revisited
Fuzzy Sets and Systems - Implication operators
Artificial intelligence and security in computing systems
Variable precision Bayesian rough set model
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Transactions on Rough Sets III
Determining Significance of Attributes in the Unified Rough Set Approach
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
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This paper proposes a concept of parameterized approximation of crisp and fuzzy sets, basing on the notion of rough and fuzzy rough inclusion function. A definition of a single ε-approximation is given. It is suitable for expressing the lower and upper approximations defined in the rough set theory and the variable precision rough set model. A unified form of approximation is especially advantageous in the case of fuzzy information systems. It helps to avoid problems caused by different forms of fuzzy connectives used in the original definition of fuzzy rough sets. The presented parameterized approach to approximation constitutes an easy to implement, straightforward generalization of the variable precision crisp and fuzzy rough set model.