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By Sion, Atallah, Prabhakar

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Dim , diμ , diν ), where dij is a domain value of a particular domain set Dj and diμ ∈ Dμ , where Dμ is the interval [0,1], the domain for intuitionistic membership values, and Dv is the interval [0,1], the domain for intuitionistic nonmembership values. In the ordinary relational database, dij ∈ Dj . In the intuitionistic rough relational database, except for the intuitionistic membership and nonmembership values, however, dij ∈ Dj , and although dij is not restricted to be a singleton, dij = ∅.

17. : Rough Sets. International Journal of Computer and Information Sciences 11 (1982) 341–356. 18. : Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht, Boston, London (1991). 19. Slowinski, R. : A generalized definition of rough approximations based on similarity. IEEE Transactions on Knowledge and Data Engineering 12 (2000) 331–336. 20. : Algorithms of Decision Rule Induction in Data Mining. Poznan University of Technology Press, Poznan, Poland (2001).

The intuitionistic rough object database scheme is formally defined by the following type system and constraints. type ], where T can be a literal type Tliteral , The type system, T S = [T, P, fimpl which can be a base type, a collection literal type, or a structured literal type. It also contains Tobject , which specifies object types, Tref erence , the set of specifications for reference types, and a void type. In the type system, each domain domts ∈ Dts , the set of domains. This domain set, along with a set of operators Ots and a set of axioms Ats , capture the semantics of the type specification.

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On Watermarking Semi-Structures by Sion, Atallah, Prabhakar


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