系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2012年
7期
1501~1505
,共null页
灰色系统 灰色关联度 无关方案独立性 干扰因素独立性
灰色繫統 灰色關聯度 無關方案獨立性 榦擾因素獨立性
회색계통 회색관련도 무관방안독립성 간우인소독립성
grey system; grey relation degree; independence from irrelevant alternatives; independencefrom interference factors
在定义了正离散序列的凹凸性、相对凸度的基础上，用相关因素之间相对凸度的接近性作为关联程度的度量，提出了灰色凸关联的概念，讨论了灰色凸关联的性质．提出灰色关联序的干扰因素独立性，证明了本文提出的灰色凸关联序和另外6种灰色关联序具有干扰因素独立性，邓氏关联度不满足干扰因素独立性．通过实例说明灰色凸关联度能较好的反映序列间的关联程度．
在定義瞭正離散序列的凹凸性、相對凸度的基礎上，用相關因素之間相對凸度的接近性作為關聯程度的度量，提齣瞭灰色凸關聯的概唸，討論瞭灰色凸關聯的性質．提齣灰色關聯序的榦擾因素獨立性，證明瞭本文提齣的灰色凸關聯序和另外6種灰色關聯序具有榦擾因素獨立性，鄧氏關聯度不滿足榦擾因素獨立性．通過實例說明灰色凸關聯度能較好的反映序列間的關聯程度．
재정의료정리산서렬적요철성、상대철도적기출상，용상관인소지간상대철도적접근성작위관련정도적도량，제출료회색철관련적개념，토론료회색철관련적성질．제출회색관련서적간우인소독립성，증명료본문제출적회색철관련서화령외6충회색관련서구유간우인소독립성，산씨관련도불만족간우인소독립성．통과실례설명회색철관련도능교호적반영서렬간적관련정도．
The convexity, concavity and the relative convexity of positive discrete series are defined, on this basis, the proximity of relative convexity among relevant factors is used to measure relation degree, we present the novel grey convex relation degree, the properties of the grey convex relation degree are discussed. We also put forward the independence from interference factors of the order of grey relations, and point out that the convex relation and other 6 kinds of grey relation degree satisfy the independence from interference factors, the grey relation degree put forward by Julong Deng could not satisfy the independence from interference factors. An example is given to illustrate that the grey convex relation degree can more really reflect the correlation degree among relevant factors sequences.
