| 内P-模糊集并-分离及其属性特征 |
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| 引用本文： | 闫立梅.内P-模糊集并-分离及其属性特征[J].山东大学学报(理学版),2012,47(1):104-109. |
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| 作者姓名： | 闫立梅 |
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| 作者单位： | 德州学院数学系,山东德州,253023 |
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| 基金项目： | 山东省自然科学基金资助项目(ZR2010LA019) |
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| 摘 要： | P-模糊集(Packet fuzzy sets)是由P-集合(Packet sets)得到的一个新的模糊集,P-模糊集具有动态特性。P-模糊集是由内P-模糊集AF珔(Internal packet fuzzy set AF珔)与外P-模糊集AF(Outer packet fuzzy set AF)构成的模糊集合对;或者(AF珔,AF)是P-模糊集。利用内P-模糊集,本文给出内P-并分离系数、内P-模糊信息概念、内P-模糊集的并-分离定理、内P-模糊集并-分离与它的属性集合的关系定理、内P-模糊集并-分离的几何特征和内P-模糊集并-分离的应用。
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| 关 键 词： | 内P-并分离系数 内P-模糊集 并-分离定理 属性特征 内P-模糊信息 |
Union-separation of an internal P-fuzzy set and its attribute characteristics |
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| YAN Li-mei.Union-separation of an internal P-fuzzy set and its attribute characteristics[J].Journal of Shandong University,2012,47(1):104-109. |
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| Authors: | YAN Li-mei |
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| Institution: | YAN Li-mei(Department of Mathematics,Dezhou University,Dezhou 253023,Shandong,China) |
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| Abstract: | P-fuzzy sets(packet fuzzy sets) are fuzzy sets obtained from P-sets(packet sets),and P-fuzzy sets have dynamic characteristics.P-fuzzy sets are a pair of fuzzy sets composed of an internal P-fuzzy set A(internal packet fuzzy set A) and an outer P-fuzzy set AF(outer packet fuzzy set AF),i.e.,(A,AF) are P-fuzzy sets.The notions of P-union separation coefficient,internal P-fuzzy information union-separation theorems of an internal P-fuzzy set,the relationship theorems between union-separation of internal P-fuzzy sets and its attribute sets,and the geometric characteristic of union-separation of internal P-fuzzy sets are given.Finally,applications of union-separation of internal P-fuzzy sets are provided. |
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| Keywords: | internal P-union separation coefficient internal P-fuzzy set union-separation theorem attribute characteristic internal P-fuzzy information |
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