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- Yiyu Yao
- Inf. Sci.
- 1998

This paper reviews and compares constructive and algebraic approaches in the study of rough sets. In the constructive approach, one starts from a binary relation and defines a pair of lower and upper approximation operators using the binary relation. Different classes of rough set algebras are obtained from different types of binary relations. In theâ€¦ (More)

- Yiyu Yao
- Inf. Sci.
- 1998

This paper presents a framework for the formulation, interpretation, and comparison of neighborhood systems and rough set approximations using the more familiar notion of binary relations. A special class of neighborhood systems, called 1-neighborhood systems, is introduced. Three extensions of Pawlak approximation operators are analyzed. Properties ofâ€¦ (More)

- Yiyu Yao
- Inf. Sci.
- 2010

The rough set theory approximates a concept by three regions, namely, the positive, boundary and negative regions. Rules constructed from the three regions are associated with different actions and decisions, which immediately leads to the notion of three-way decision rules. A positive rule makes a decision of acceptance, a negative rule makes a decision ofâ€¦ (More)

- Yiyu Yao, S. K. Michael Wong
- International Journal of Man-Machine Studies
- 1992

This paper explores the implications of approximating a concept based on the Bayesian decision procedure, which provides a plausible unification of the fuzzy set and rough set approaches for approximating a concept. We show that if a given concept is approximated by one set, the same result given by the Î±-cut in the fuzzy set theory is obtained. On theâ€¦ (More)

- Yiyu Yao
- Inf. Sci.
- 2011

- Yiyu Yao
- JASIS
- 1995

The notion of user preference is adopted for the representation, interpretation and measurement of the relevance or usefulness of documents. User judgments on documents may be formally described by a weak order (i.e., user ranking) and measured using an ordinal scale. Within this framework, a new measure of system performance is suggested based on theâ€¦ (More)

- Yiyu Yao
- Int. J. Approx. Reasoning
- 1996

This paper presents and compares two views of the theory of rough sets. The operator-oriented view interprets rough set theory as an extension of set theory with two additional unary operators. Under such a view, lower and upper approximations are related to the interior and closure operators in topological spaces, the necessity and possibility operators inâ€¦ (More)

Rough set theory can be applied to rule induction. There are two different types of classification rules, positive and boundary rules, leading to different decisions and consequences. They can be distinguished not only from the syntax measures such as confidence, coverage and generality, but also the semantic measures such as decisionmonotocity, cost andâ€¦ (More)

- Yiyu Yao
- RSKT
- 2007

Decision-theoretic rough set models are a probabilistic extension of the algebraic rough set model. The required parameters for defining probabilistic lower and upper approximations are calculated based on more familiar notions of costs (risks) through the well-known Bayesian decision procedure. We review and revisit the decision-theoretic models andâ€¦ (More)

- Yiyu Yao, Bingxue Yao
- Inf. Sci.
- 2012