基数余-亏与逆P-增广矩阵

doi:10.6040/j.issn.1671-9352.7.2015.002

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (10): 13-18.doi: 10.6040/j.issn.1671-9352.7.2015.002

基数余-亏与逆P-增广矩阵

任雪芳¹, 张凌¹, 史开泉²

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

收稿日期:2015-08-31 修回日期:2015-09-10 出版日期:2015-10-20 发布日期:2015-10-21
通讯作者: 史开泉(1945-),男,教授,博士生导师,研究方向为系统理论与应用.E-mail:shikq@sdu.edu.cn E-mail:shikq@sdu.edu.cn
作者简介:任雪芳(1981-),女,讲师,硕士研究生,研究方向为信息科学、系统理论与应用.E-mail:renxf0311@163.com
基金资助:
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)

Surplus-deficiency of cardinal number and inverse P-augmented matrices

REN Xue-fang¹, ZHANG Ling¹, SHI Kai-quan²

1. School of Information Engineering, Longyan University, Longyan 364012, Fujian, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2015-08-31 Revised:2015-09-10 Online:2015-10-20 Published:2015-10-21

摘要/Abstract

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

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.

Key words: inverse P-sets, inverse P-augmented matrix, attribute relationship, theorem of inverse P-augmented matrix, cardinal number

中图分类号:

O144

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.

REN Xue-fang, ZHANG Ling, SHI Kai-quan. Surplus-deficiency of cardinal number and inverse P-augmented matrices[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(10): 13-18.

参考文献

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基数余-亏与逆P-增广矩阵

Surplus-deficiency of cardinal number and inverse P-augmented matrices

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