R-fuzzy集的优势测度及其在人类感知领域中的应用研究  

The Advantage Measurement of R-fuzzy Set and Its Application in the Field of Human Perception

作　　者：李守军 马小平[1] LI Shou-jun;MA Xiao-ping(School of Information and Control Engineering,China University.of Mining and Technology,Xuzhou 221116,China;School of Mechanical and Electrical Engineering,Suqian College,Suqian 223800,China)

机构地区：[1]中国矿业大学信息与控制工程学院,江苏徐州221116 [2]宿迁学院机电工程学院,江苏宿迁223800

出　　处：《数学的实践与认识》2018年第23期120-128,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61374043,61603392);江苏省高校品牌专业建设工程资助项目(PPZY2015C252);宿迁市产业发展引导资金项目(M201612)

摘　　要：给出了一种新颖的R-fuzzy集优势测度的定义,实现了R-fuzzy粗糙近似集与描述符相关的隶属度重要性的量化表示.指出了优势测度是R-fuzzy集隶属度重要性的度量工具,并且具有传统Zadeh模糊集的本质属性.然后,针对不同标准子集对于隶属度集的优势测度序列,采用灰色绝对关联分析的方法对标准子集在隶属度评价方面的差异性进行了量化研究.最后,基于优势测度概念及灰色绝对关联分析方法对观音机场展开了噪声感知实验,讨论了不同年龄评价群体对噪声的理解在优势测度上的差异,证实了优势测度在人类感知辨识领域内的应用价值.A novel definition of advantage measure of fuzzy set is proposed to quantify the membership value in the R-fuzzy rough approximation set associated with descriptors related to the importance of the membership degree.Aiming at different subsets of criteria set, grey absolute correlation analysis method is applied to the sequences of advantage measure to find the differences in quantitative evaluation on membership degree of different criteria subsets.Finally,noise perception experiment on flights at Guanyin airport is conducted based on proposed advantage measure and grey absolute correlation analysis.The differences in advantage measure of different cognitions on the same flight noise are 'investigated for different age clusters.Empirical example shows that the proposed advantage measure has an important role in field of human perception.

关 键 词：R-fuzzy集 优势测度 有效评价 灰色关联分析 噪声感知 

分 类 号：O159[理学—数学]