粗糙集中若干新的模糊度计算公式

Some New Calculating Formulas of the Fuzziness in Rough Sets

依据模糊集的模糊度和贴近度的公理化定义,基于粗糙集的模糊度和贴近度的基本概念,进一步研究粗糙集的模糊性度量方法,给出了文[3]中模糊度公式的等价形式;同时讨论了粗糙集中由贴近度诱导的模糊度,给出了粗糙集中若干新的模糊度计算公式。

According to the axiomatic definitions of the fuzziness and the closeness of fuzzy sets,based on the basic concept of the fuzziness and the closeness of rough sets,the methods for measuring fuzziness in rough sets are further studied,and the equal forms of the formulas of the fuzziness in document are given.Meanwhile,the fuzziness induced by the closeness in rough sets is discussed,and some new calculating formulas of the fuzziness in rough sets are given.