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.
作者
张秀全
史开泉
Zhang Xiuquan;Shi Kaiquan(School of Mathematics and statistics,Huanghuai University,Zhumadian 463000,China;School of Mathematics,Shandong University,Jinan 250100,China)
出处
《河南师范大学学报(自然科学版)》
CAS
北大核心
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).
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
P-sets
dynamic information fusion
P-augmented matrix
separation coefficient theorem
recognition criteria