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| P-关系与它的度量特征 | |
| 引用本文： | 谢维奇,张丽,李豫颖. P-关系与它的度量特征[J]. 山东大学学报(理学版), 2010, 45(12): 112-116 |
| 作者姓名： | 谢维奇 张丽 李豫颖 |
| 作者单位： | 1.驻马店职业技术学院信息工程系, 河南 驻马店 463000; 2.山东大学数学学院, 山东 济南 250100; 3.宁德师范学院计算机与信息工程系, 福建 宁德 352100 |
| 基金项目： | 山东省自然科学基金资助项目，福建省自然科学基金资助项目 |
| 摘 要： | 利用P-集合,给出P-关系的概念与结构、相关运算及P-关系的数值度量,提出P-关系度量离散区间收缩定理和P-关系生成-恢复定理,最后给出P-关系在信息辨识中的应用。 |
| 关 键 词： | P-集合 P-关系 度量离散区间 交换半群 信息辨别, |
| 收稿时间： | 2010-04-27 |
P-relation and its metric characteristic |
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| XIE Wei-qi,ZHANG Li,LI Yu-ying. P-relation and its metric characteristic[J]. Journal of Shandong University, 2010, 45(12): 112-116 | |
| Authors: | XIE Wei-qi ZHANG Li LI Yu-ying |
| Affiliation: | 1. Department of Information Engineering, Zhumadian Vocational and Technical College, Zhumadian 463000, Henan, China; 2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China; 3. Department of Computer and Information Engineering, Ningde Normal University, Ningde 352100, Fujian, China |
| Abstract: | Based on P-sets, the concept and structure of P-relation are generated, and operation with respect to it and its value metric are given. Also, the contraction theorem of degree discrete interval of P-relation as well as generation-recovery theorem of P-relation are proposed. Finally, application of P-relation in information identification is given. |
| Keywords: | P-sets P-relation discrete interval of the degree commutative semigroups information identification, |
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