信息动态融合识别与P-增广矩阵关系  

The relationship between dynamic information fusion recognition and P-augmented matrices

作　　者：张秀全 史开泉[2] Zhang Xiuquan;Shi Kaiquan(School of Mathematics and statistics,Huanghuai University,Zhumadian 463000,China;School of Mathematics,Shandong University,Jinan 250100,China)

机构地区：[1]黄淮学院数学与统计学院,河南驻马店463000 [2]山东大学数学学院,济南250100

出　　处：《河南师范大学学报（自然科学版）》2022年第3期79-84,共6页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12171193);河南省科技攻关计划项目(212102310464);河南省高等学校青年骨干教师培育项目(2021GGJS158).

摘　　要：P-集合是一个具有动态特征的数学集合模型,它是由内P-集合X^(F)与外P-集合X^(F)构成的集合对;P-增广矩阵是利用P-集合的动态特征改进普通增广矩阵得到的增广矩阵新结构,它是由内P-增广矩阵A^(F)与外P-增广矩阵A^(F)构成的矩阵对.将P-集合与P-增广矩阵交叉应用研究,得到信息动态融合与它的生成,给出信息动态融合发现-识别与P-增广矩阵分离系数定理,以及信息动态融合识别准则,最后利用这些理论与结果给出应用.P-Sets is a mathematical set model with dynamic characteristics,and a set pair which is composed of internal P-set X^(F) and outer P-set X^(F).P-augmented matrix is a new structure of augmented matrix obtained by using dynamic characteristics of P-sets.P-augmented matrix is a matrix pair which is composed of internal P-augmented matrix A^(F) and outer P-augmented matrix A^(F).In this paper,by using the intersection of P-sets and P-augmented matrices,we obtained the information dynamic fusion and its generation,and gave the discovery-recognition and separation coefficient theorem of P-augmented matrix in dynamic information fusion and the recognition criteria of information dynamic fusion.Finally,we showed the application of these theories and results.

关 键 词：P-集合 信息动态融合 P-增广矩阵 分离系数定理 识别准则 

分 类 号：O144[理学—数学]