本文選題：灰色關(guān)聯(lián)度　切入點：關(guān)聯(lián)公理　出處：《應用泛函分析學報》2015年04期 　論文類型：期刊論文

【摘要】：本文從實例出發(fā),驗證了最經(jīng)典、最常用的鄧氏關(guān)聯(lián)度既完全不滿足鄧聚龍原有關(guān)聯(lián)度公理,也不完全滿足經(jīng)改進后的現(xiàn)行常用關(guān)聯(lián)度公理,探討了適應以鄧氏關(guān)聯(lián)度為典型代表的特殊類型關(guān)聯(lián)度公理.進而探討了適用范圍既包含以鄧氏關(guān)聯(lián)度為典型代表的特殊類型關(guān)聯(lián)度,又包含所有對稱性關(guān)聯(lián)度,還包含了有別于前兩者的斜率關(guān)聯(lián)度的一般關(guān)聯(lián)度公理.發(fā)現(xiàn)了"在m≥3條件下,所有對稱性關(guān)聯(lián)度、鄧氏關(guān)聯(lián)度、斜率關(guān)聯(lián)度都不滿足關(guān)聯(lián)度公理中的偶對對稱性和整體性","現(xiàn)有接近性公理的表述欠嚴謹,導致平行性關(guān)聯(lián)度、一致性關(guān)聯(lián)度和相似性關(guān)聯(lián)度等諸多關(guān)聯(lián)度不滿足關(guān)聯(lián)度公理中的接近性"等新結(jié)論.
[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，

本文編號：1558320