山东大学学报(理学版)
山東大學學報(理學版)
산동대학학보(이학판)
Journal of Shandong University (Natural Science)
2015年
10期
13-18,26
,共7页
逆P-集合%逆P-增广矩阵%属性关系%基数%逆P-增广矩阵定理
逆P-集閤%逆P-增廣矩陣%屬性關繫%基數%逆P-增廣矩陣定理
역P-집합%역P-증엄구진%속성관계%기수%역P-증엄구진정리
inverse P-sets%inverse P-augmented matrix%attribute relationship%cardinal number%theorem of inverse P-augmented matrix
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。
利用逆 P-集閤的動態特徵,改進普通增廣矩陣概唸,提齣內逆 P-增廣矩陣,外逆 P-增廣矩陣與逆 P-增廣矩陣,給齣它們的結構、生成與關繫。利用基數餘-虧與逆 P-增廣矩陣交扠,提齣基數餘值與內逆 P-增廣矩陣關繫定理,基數虧值與外逆 P-增廣矩陣關繫定理,以及基數餘-虧值與逆 P-增廣矩陣關繫定理,最後給齣這些理論結果的應用。
이용역 P-집합적동태특정,개진보통증엄구진개념,제출내역 P-증엄구진,외역 P-증엄구진여역 P-증엄구진,급출타문적결구、생성여관계。이용기수여-우여역 P-증엄구진교차,제출기수여치여내역 P-증엄구진관계정리,기수우치여외역 P-증엄구진관계정리,이급기수여-우치여역 P-증엄구진관계정리,최후급출저사이론결과적응용。
By using the dynamic characteristics of inverse P-sets and improving ordinary augmented matrix,internal in-verse 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-aug-mented matrix,the relationship theorem between surplus value of cardinal number and internal inverse P-augmented ma-trix,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.