系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2015年
6期
1528~1534
,共null页
关联度公理 接近性关联度 相似性关联度 整体性 对称性
關聯度公理 接近性關聯度 相似性關聯度 整體性 對稱性
관련도공리 접근성관련도 상사성관련도 정체성 대칭성
relational axioms;the close degree of grey incidence;the similitude degree of grey incidence;wholeness;symmetry
本文首先逐条评价了现有关联度四公理的意义,指出规范性和接近性是必不可少的,整体性和偶对对称性是没有必要的,接近性需要用严谨数学语言描述,适用范围没有必要局限在系统特征序列与相关因素序列之间.规定方式既可以通过两序列直接规定关联度,又可以先规定对应坐标之间的关联系数再规定关联度.然后给出了两类有实际应用背景的特殊关联度的公理化定义,并分别给出了实际例子,为针对不同实际背景规定相应关联度提供了可借鉴的参考方法.
本文首先逐條評價瞭現有關聯度四公理的意義,指齣規範性和接近性是必不可少的,整體性和偶對對稱性是沒有必要的,接近性需要用嚴謹數學語言描述,適用範圍沒有必要跼限在繫統特徵序列與相關因素序列之間.規定方式既可以通過兩序列直接規定關聯度,又可以先規定對應坐標之間的關聯繫數再規定關聯度.然後給齣瞭兩類有實際應用揹景的特殊關聯度的公理化定義,併分彆給齣瞭實際例子,為針對不同實際揹景規定相應關聯度提供瞭可藉鑒的參攷方法.
본문수선축조평개료현유관련도사공리적의의,지출규범성화접근성시필불가소적,정체성화우대대칭성시몰유필요적,접근성수요용엄근수학어언묘술,괄용범위몰유필요국한재계통특정서렬여상관인소서렬지간.규정방식기가이통과량서렬직접규정관련도,우가이선규정대응좌표지간적관련계수재규정관련도.연후급출료량류유실제응용배경적특수관련도적공이화정의,병분별급출료실제례자,위침대불동실제배경규정상응관련도제공료가차감적삼고방법.
The significance of four axioms of grey incidence degree was evaluated respectively in this paper.It pointed out that the normality and the proximity are essential,the wholeness and the parity symmetry are not necessary,and the proximity needs to be described in rigorous mathematical language,and the applicable scope is not necessarily limited to system characteristic sequence and related factor sequences.There are two ways of providing incidence degree,directly by the two series or by firstly providing incidence coefficients of the corresponding coordinates.Furthermore,the axiomatic definitions of the two special incidence degrees of practical application background and the corresponding actual examples are given in this paper,in order to offer reference methods for providing the corresponding incidence degrees according to different practical background.