Logic and discrete mathematics: a computer science perspective
Logic and discrete mathematics: a computer science perspective
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
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
Two new operators in rough set theory with applications to fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
The Axiomatization of the Rough Set Upper Approximation Operations
Fundamenta Informaticae
Transformation of rough set models
Knowledge-Based Systems
Generalized rough sets over fuzzy lattices
Information Sciences: an International Journal
Axiomatic systems for rough sets and fuzzy rough sets
International Journal of Approximate Reasoning
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Rough operations on Boolean algebras
Information Sciences: an International Journal
On the structure of generalized rough sets
Information Sciences: an International Journal
Rough sets over the boolean algebras
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
Algebraic approach to generalized rough sets
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
Fuzzy rough sets based on residuated lattices
Transactions on Rough Sets II
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Using characteristic function of sets, this paper proposes the concept of linear mappings for the power sets of universal sets. Through this concept, we explain rough set upper approximation as a linear mapping and study the linear properties of rough sets. The relationship between the linear mappings and the upper approximations is established. The results and methods given in this paper will hopefully simplify the theoretical and practical researches of rough sets.