摘要
李(2002)提出了一个Vague集模糊熵的定义,但它是基于普通模糊集的,而模糊集本身又具有模糊性,因而它不能完全刻划出一个Vague集的模糊性。本文首先分析了Vague集的模糊性主要来自两方面,即弃权信息和不确定性信息,然后提出一个考虑了上述两种因素的Vague集模糊熵公理化定义,并给出了一个计算该类模糊熵的公式,最后将它和李的一个同类别公式作了比较。
A definition to fuzzy entropy of Vague sets was proposed by Li in 2002,but it was based on fuzzy sets which had fuzziness themselves.The values of that kind of entropy couldnt describe the fuzzy entropy of a Vague set completely.In this paper,we first analyze the fuzziness of a Vague set that comes from waiver and uncertainty information.An axiom definition of the fuzzy entropy of Vague sets which takes into account the two factors mentioned above is proposed,and a formula which is used to calculate the fuzzy entropy is presented.Finally,we compare it with one of the formulas presented by Li.
出处
《计算机应用与软件》
CSCD
北大核心
2005年第6期16-17,共2页
Computer Applications and Software
基金
广东省自然科学基金(034071)资助
