基于非模糊集的Vague模糊熵  

THE FUZZY ENTROPY OF VAGUE SETS BASED ON NON-FUZZY SETS

作　　者：黄国顺[1] 刘云生[2] 

机构地区：[1]佛山科学技术学院理学院,广东佛山528000 [2]华中科技大学计算机学院,湖北武汉430074

出　　处：《计算机应用与软件》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

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 couldnt 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.

关 键 词：模糊熵 模糊集 VAGUE集 不确定性信息 公理化定义 模糊性 公式 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] O159[自动化与计算机技术—计算机科学与技术]