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| 基数余-亏与逆P-增广矩阵 | |
| 引用本文： | 任雪芳,张凌,史开泉.基数余-亏与逆P-增广矩阵[J].山东大学学报(理学版),2015,50(10):13-18. |
| 作者姓名： | 任雪芳 张凌 史开泉 |
| 作者单位： | 1. 龙岩学院信息工程学院, 福建 龙岩 364012; 2. 山东大学数学学院, 山东 济南 250100 |
| 基金项目： | 龙岩学院百名青年攀登项目(LQ2013003);福建省龙岩市科技计划项目(2011LY20);福建省自然科学基金资助项目(2015J05010);福建省科技厅资助高校项目(JK2010045) |
| 摘 要： | 利用逆P-集合的动态特征,改进普通增广矩阵概念,提出内逆P-增广矩阵,外逆P-增广矩阵与逆P-增广矩阵,给出它们的结构、生成与关系。利用基数余-亏与逆P-增广矩阵交叉,提出基数余值与内逆P-增广矩阵关系定理,基数亏值与外逆P-增广矩阵关系定理,以及基数余-亏值与逆P-增广矩阵关系定理,最后给出这些理论结果的应用。 |
| 关 键 词： | 属性关系 逆P-增广矩阵定理 逆P-增广矩阵 基数 逆P-集合 |
| 收稿时间： | 2015-08-31 |
Surplus-deficiency of cardinal number and inverse P-augmented matrices |
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| REN Xue-fang,ZHANG Ling,SHI Kai-quan.Surplus-deficiency of cardinal number and inverse P-augmented matrices[J].Journal of Shandong University,2015,50(10):13-18. | |
| Authors: | REN Xue-fang ZHANG Ling SHI Kai-quan |
| Institution: | 1. School of Information Engineering, Longyan University, Longyan 364012, Fujian, China; 2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China |
| Abstract: | By using the dynamic characteristics of inverse P-sets and improving ordinary augmented matrix, internal inverse P-augmented matrix, outer inverse P-augmented matrix and inverse P-augmented matrix are put forward;their structures,generations and relations are given. By crossing the surplus-deficiency of cardinal number with inverse P-augmented matrix, the relationship theorem between surplus value of cardinal number and internal inverse P-augmented matrix, the relationship theorem between deficient value of cardinal number and outer inverse P-augmented matrix, and the relationship theorem between surplus-deficient value of cardinal number and inverse P-augmented matrix are proposed. Finally, an application of these results above is shown. |
| Keywords: | inverse P-sets inverse P-augmented matrix attribute relationship theorem of inverse P-augmented matrix cardinal number |
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