Variable precision rough set model
Journal of Computer and System Sciences
Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Rules in incomplete information systems
Information Sciences: an International Journal
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
On the Extension of Rough Sets under Incomplete Information
RSFDGrC '99 Proceedings of the 7th International Workshop on New Directions in Rough Sets, Data Mining, and Granular-Soft Computing
Approximation Space and LEM2-like Algorithms for Computing Local Coverings
Fundamenta Informaticae - Concurrency Specification and Programming (CS&P)
On generalizing rough set theory
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Local and global approximations for incomplete data
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
Incomplete data and generalization of indiscernibility relation, definability, and approximations
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
Rough sets and general basic set assignments
RSFDGrC'11 Proceedings of the 13th international conference on Rough sets, fuzzy sets, data mining and granular computing
Generalized parameterized approximations
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Generalized probabilistic approximations
Transactions on Rough Sets XVI
Generalized probabilistic approximations of incomplete data
International Journal of Approximate Reasoning
Extended tolerance relation to define a new rough set model in incomplete information systems
Advances in Fuzzy Systems
An Experimental Comparison of Three Probabilistic Approximations Used for Rule Induction
Fundamenta Informaticae - To Andrzej Skowron on His 70th Birthday
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In this paper we consider a generalization of the indiscernibility relation, i.e., a relation R that is not necessarily reflexive, symmetric, or transitive. On the basis of granules, defined by R, we introduce the idea of definability. We study 28 basic definitions of approximations, two approximations are introduced for the first time. Furthermore, we introduce additional 8 new approximations. Our main objective is to study definability and coalescence of approximations. We study definability of all 28 basic approximations for reflexive, symmetric, and transitive relations. In particular, for reflexive relations, the set of 28 approximations is reduced, in general, to the set of 16 approximations.