Probabilistic rough set approximations

By Yiyu Yao. International Journal of Approximate Reasoning, 2008

581 citations recorded by the source corpus.

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Three-Way Decision: An Interpretation of Rules in Rough Set Theory (2009, methodology): “A detailed derivations of existing probabilistic models are given in other papers [16,17].”
Rough Sets: Selected Methods and Applications in Management and Engineering (2012, methodology): “While this chapter only describes the rough k-means algorithm, a number of other alternatives based on Kohonen self-organizing maps [18], evolutionary partitive approach [11], and evolutionary k-medoids [19] are also available.”
An Outline of a Theory of Three-Way Decisions (2012, background): “A main advantage of a DTRS model is its solid foundation based on Bayesian decision theory.”
Decision-Theoretic Rough Set Models (2007, background): “Ever since the introduction of rough set theory by Pawlak in 1982 [10,11,13], many proposals have been made to incorporate probabilistic approaches into the theory [14,29,30,31].”
Three-way decisions with probabilistic rough sets (2010, methodology): “From equation (9), it following that given (c0), the following conditions are both necessary and sufficient for the classical rough set model [37]:”