邓氏关联度的局限与关联公理的演变

发布时间：2018-03-02 22:12

  本文选题：灰色关联度　切入点：关联公理　出处：《应用泛函分析学报》2015年04期 　论文类型：期刊论文

【摘要】：本文从实例出发,验证了最经典、最常用的邓氏关联度既完全不满足邓聚龙原有关联度公理,也不完全满足经改进后的现行常用关联度公理,探讨了适应以邓氏关联度为典型代表的特殊类型关联度公理.进而探讨了适用范围既包含以邓氏关联度为典型代表的特殊类型关联度,又包含所有对称性关联度,还包含了有别于前两者的斜率关联度的一般关联度公理.发现了"在m≥3条件下,所有对称性关联度、邓氏关联度、斜率关联度都不满足关联度公理中的偶对对称性和整体性","现有接近性公理的表述欠严谨,导致平行性关联度、一致性关联度和相似性关联度等诸多关联度不满足关联度公理中的接近性"等新结论.
[Abstract]:This paper verifies that the most classical and commonly used Deng's correlation degree is neither satisfied with Deng Julong's original relational degree axioms, nor fully satisfied with the existing commonly used relational degree axioms after improvement. In this paper, the axioms of special type correlation degree suitable for Deng's relational degree are discussed, and the applicable scope includes not only the special type relational degree represented by Deng's correlation degree, but also all symmetric relational degrees. It also contains a general axiom of correlation degree, which is different from the slope correlation degree of the first two. It is found that "under the condition of m 鈮，

本文编号：1558320