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The theory of rough sets is an extension of set theory with two additional unary set-theoretic operators deened based on a binary relation on the universe. These two operators are related to the modal operators in modal logics. By exploring the relationship between rough sets and modal logics, this paper proposes and examines a number of extended rough set… (More)

Queries in database can be classified roughly into two types: specific targets and fuzzy targets. Many queries are in effect fuzzy targets, however, because of lacking the supports, the user has been emulating them with specific targets by retiring a query repeatedly with minor changes. In this paper, we augment the relational database, with neighborhood… (More)

— It is well known that the Kripke model for the modal logic system S5 can be interpreted as an approximation space in rough set theory. In this paper, we generalize the interpretation to relational granulation. We consider two multi-modal logics for reasoning about relational granulation in open world and closed world environments respectively. In an open… (More)

- Priya Baliga, T. Y. Lin
- GrC
- 2005

<italic>Computer are finite discrete machines, the set of real numbers is an infinite continuum. So real numbers in computers are approximation. Rough set theory is the underlying mathematics. A “computer” version of Weistrass theorem states that every sequence, within the radius of error, repeats certain terms infinitely many times. In terms of… (More)

- Jun Xie, Gaowei Yan, Keming Xie, T. Y. Lin
- GrC
- 2007

Topological data models.
One of the most important goals of data modeling is to capture the information requirements of an application in terms of structures, constrains, and operations that naturally reflect the real world situation. To date Codd's relational data modeling has been one of the most successful representations of real world problems. As… (More)