Dominance-based fuzzy rough approach to an interval-valued decision system

Abstract

Though the dominance-based rough set approach has been applied to interval-valued information systems for knowledge discovery, the traditional dominance relation cannot be used to describe the degree of dominance principle in terms of pairs of objects. In this paper, a ranking method of interval-valued data is used to describe the degree of dominance in the interval-valued information system. Therefore, the fuzzy rough technique is employed to construct the rough approximations of upward and downward unions of decision classes, from which one can induce at least and at most decision rules with certainty factors from the interval-valued decision system. Some numerical examples are employed to substantiate the conceptual arguments.

Keywords

certainty factor / decision rule / dominance relation / interval-valued information system / interval-valued decision system / fuzzy rough approximation

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 60632050) and Postdoctoral Science Foundation of China (20100481149).

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg