Fuzziness of Rough Sets Generated by a Covering
Many theories and methods have been studied for the uncertainty measure of rough sets generated by a covering.This paper reviews all these methods and give some examples to illustrate their limitations.Then a novel uncertainty measure is developed based on the construction of a mapping from a covering based rough set to a fuzzy set through assigning a degree of rough belongingness to every object in the universe.The connection between rough sets and fuzzy sets is constructed and some important properties are derived.Analysis shows that this uncertainty measure overcomes the limitations of previous measures.The application of this measure in reduction of incomplete information systems is illustrated by an example in the end.
fuzziness covering rough sets fuzzy sets
Jun Hu Feng Hu Hong Yu
Chongqing Key Laboratory of Computational Intelligence Chongqing University of Posts & Telecommunications Chongqing, P. R. China 400065
国际会议
厦门
英文
926-930
2014-08-19（万方平台首次上网日期，不代表论文的发表时间）