模糊集的贴近度及多维综合贴近度  

Applicability and multidimensional synthetic applicability of fuzzy sets

作　　者：孙超[1] 韩捷[1] 关惠玲[1] 郝伟[1] 毛清华[1] 

机构地区：[1]郑州大学机械工程学院,河南郑州450002

出　　处：《河南科学》2004年第2期163-166,共4页Henan Science

摘　　要：通过对传统F集贴近度的公理化定义进行改造,从而用普通函数的形式对两个F集之间的贴近度进行了更加全面、合理的描述。然后,将描述两个F集之间贴近度的函数推广到多维领域,使得所定义的综合贴近度能够对受多种因素影响的全体F集的综合贴近度进行度量。从而为模糊诊断的自学习功能提供了一条很好的解决途径。By means of altering original axiomatized definition of fuzzy sets applicability, This paper describe the applicability between two fuzzy sets more comprehensively and properly in the style of generic function. Afterward, by extending the function, which can describe the applicability between two fuzzy sets to multidimensional field, the new definition, namely multidimensional synthetic applicability, can measure the similar degree of whole fuzzy sets which are influenced by many factors. By this means, it can provide a way to self-learning function of fuzzy diagnosis.

关 键 词：模糊集 贴近度 综合贴近度 

分 类 号：O329[理学—一般力学与力学基础]