模糊数的一种类序和类距离的定义  

A Kind of sort compositor and sort distance of fuzzy figure

作　　者：李宏艳[1] 刘海娟[2] 

机构地区：[1]中国煤炭经济学院数学系,山东烟台264005 [2]辽宁工程技术大学基础科学部,辽宁阜新123000

出　　处：《辽宁工程技术大学学报（自然科学版）》2003年第5期704-706,共3页Journal of Liaoning Technical University (Natural Science)

摘　　要：模糊数距离的概念不仅在模糊分析学中起着关键性的作用,是极限、连续性、收敛性、稳定性等概念的基础,而且在模糊应用的技术中也具有重要的意义。通过对模糊数特性的分析,将模糊数进行了类排序,克服了以往只能对极少部分模糊数才能排序的不足,同时引出了类间距离、类内距离和混合距离的概念,为下一步的分析工作打下了基础。The conception of fuzzy figure distance not only plays a key role in fuzzy analysis, it is the basis of some conceptions such as limit, continuity , astringency , stability ,and it's important in fuzzy application technical. By the analysis of the characteristic of the fuzzy figure, sort compositor of the blur figure is given, the weakness of only few blur figure can be ordered is over, and distance of sort and distance inner sort and mixed distance is given .laying a foundation for further works.

关 键 词：有界闭模糊数 类排序 类距离 模糊分析学 类间距离 类内距离 混合距离 模糊值函数 

分 类 号：O159[理学—数学]