Function P-sets are a set pair which are composed of function internal packetsets S F and function outer packet sets S F or (S F , S F ) are function P-sets. Function P-sets have dynamic characteristics and law charac...Function P-sets are a set pair which are composed of function internal packetsets S F and function outer packet sets S F or (S F , S F ) are function P-sets. Function P-sets have dynamic characteristics and law characteristics. Based on function P-sets, P-information law discovery theorems which has attribute supplementing-deleting are given. Mining-discovery and mining-discovery theorems of unknown information law are proposed. Function P-sets are a new theory and new method to research dynamic information laws for information systems.展开更多
P-sets is a set pair, it is composed of internal P-set and outer P-set, it has dynamic characteristic. By using structure of P-sets, dependence theorem and identification theorem are proposed in this paper.
Aiming at the dynamics and uncertainties of natural colors affected by the natural environment,a color P-law generation model based on the natural environment is proposed to develop algorithms and to provide a theoret...Aiming at the dynamics and uncertainties of natural colors affected by the natural environment,a color P-law generation model based on the natural environment is proposed to develop algorithms and to provide a theoretical basis for plant dynamic color simulation and color sensor data transmission.Based on the HSL(Hue,Saturation,Lightness)color solid,the proposed method uses the function P-set to provide a color P-law generation model and an algorithm of the Dynamic Colors System(DCS),establishing the DCS modeling theory of the natural environment and the color P-reasoning simulation based on the HSL color solid.The experimental results show that based on the color P-law,for the DCS of the natural environment,when the external factors change,the color of the plant changes,accordingly,verifying the effectiveness of the color P-law generation model and the algorithm of the DCS.In the dynamic color intel-ligent simulation system,when external factors change,the dynamic change of plant color generally conforms to the basic laws of the natural environment.This enables the effective extraction of color data from the Internet of Things(IoT)-based color sensors and provides an effective way to significantly reduce the data transmission bandwidth of the IoT network.展开更多
P-集合(packet-sets)具有动态特性,它是由内P-集合XF-(internal packet set XF-)与外P-集合XF(outer packet set XF)构成的集合对(X-F,XF)。利用P-集合,给出-F-数据离散区间、F-数据离散区间的概念;利用这些概念,给出信息系统输出数据...P-集合(packet-sets)具有动态特性,它是由内P-集合XF-(internal packet set XF-)与外P-集合XF(outer packet set XF)构成的集合对(X-F,XF)。利用P-集合,给出-F-数据离散区间、F-数据离散区间的概念;利用这些概念,给出信息系统输出数据的数据离散区间特征,给出数据过滤概念;提出数据离散区间定理、数据还原定理、数据过滤定理、数据过滤剩余与数据辨识定理,给出应用。P-集合是研究信息系统输出数据变化的一个新理论与新方法。展开更多
P-集合(packet sets)是把动态特性引入到有限普通集合(Cantor set)内,以改进有限普通集合而提出的。P-集合具有动态特性。P-集合是由内P-集合XF-(internal packet set XF-)与外P-集合XF(outer packet set XF)构成的集合对。利用P-集合,...P-集合(packet sets)是把动态特性引入到有限普通集合(Cantor set)内,以改进有限普通集合而提出的。P-集合具有动态特性。P-集合是由内P-集合XF-(internal packet set XF-)与外P-集合XF(outer packet set XF)构成的集合对。利用P-集合,提出内P-等价类、外P-等价类、P等价类的概念;给出P-等价类还原定理、内P-等价类离散区间内点定理、外P-等价类离散区间外点定理、P-等价类离散区间子区间定理、P-等价类辨识准则;利用这些结果给出P-等价类在未知信息搜索-辨识中的应用。结果表明,P-集合与普通集合之间存在交叉、渗透空间,一些新结果潜藏在这个空间中。展开更多
把动态特性引入到有限普通集合X内,改进了普通集合X,提出了P-集合(packet sets);P-集合是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性:内P-集合...把动态特性引入到有限普通集合X内,改进了普通集合X,提出了P-集合(packet sets);P-集合是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性:内P-集合具有内-动态特性,外P-集合具有外-动态特性。把P-集合(X■,XF)引入到L.A.Zadeh模糊集A中,改进L.A.Zadeh模糊集A,提出P-模糊集(packet fuzzy sets)。P-模糊集是由内P-模糊集A■(internal packetfuzzy set A■)与外P-模糊集AF(outer packet fuzzy set AF)构成的模糊集合对,或者(A■,AF)是P-模糊集。P-模糊集具有动态特性,给出了P-模糊集的若干特征与应用。在一定条件下,P-模糊集(A■,AF)能够回到L.A.Zadeh模糊集A的"原点"。P-模糊集比L.A.Zadeh模糊集具有更大的应用空间。P-模糊集是模糊集理论与应用中的一个新的研究方向。展开更多
P-集合(packet sets)是把动态特性引入到有限普通集合X内,改进有限普通集合X得到的一个动态模型;在一定的条件下,P-集合被还原成有限普通集合X。P-集合由内P-集合XF珚(internal packet set XF珚)与外P-集合XF(outerpacket set XF)构成...P-集合(packet sets)是把动态特性引入到有限普通集合X内,改进有限普通集合X得到的一个动态模型;在一定的条件下,P-集合被还原成有限普通集合X。P-集合由内P-集合XF珚(internal packet set XF珚)与外P-集合XF(outerpacket set XF)构成的集合对;或者,(XF珚,XF)是P-集合。P-推理(packet reasoning)由内P-推理(internal packet rea-soning)与外P-推理(outer packet reasoning)共同构成。利用内P-集合与内P-推理,给出了内P-信息恢复概念与内P-信息恢复特征、内P-信息恢复的内P-推理生成与它的属性潜藏、内P-信息恢复的信息元补充定理、内P-信息恢复的依赖性定理,以及内P-推理信息恢复的属性潜藏定理与属性潜藏发现定理。利用这些理论结果,给出内P-推理信息恢复在信息系统中的应用。展开更多
基金Supported by the Elementary and Advanced Technology Foundation of Henan Province(082300410040, 102300410153)
文摘Function P-sets are a set pair which are composed of function internal packetsets S F and function outer packet sets S F or (S F , S F ) are function P-sets. Function P-sets have dynamic characteristics and law characteristics. Based on function P-sets, P-information law discovery theorems which has attribute supplementing-deleting are given. Mining-discovery and mining-discovery theorems of unknown information law are proposed. Function P-sets are a new theory and new method to research dynamic information laws for information systems.
基金Supported by the Natural Science Foundation of Zhumadian, Henan, China(11704)Supported by the National Natural Science Foundation of Shandong Province(60973042)Supported by the Natural Science Foundation of Shandong Province(Y2008F61, Y2008G20)
文摘P-sets is a set pair, it is composed of internal P-set and outer P-set, it has dynamic characteristic. By using structure of P-sets, dependence theorem and identification theorem are proposed in this paper.
基金funded by the Natural Science Foundation Project of Fujian Provincial Department of science and technology,Grant No.:2020J01385Digital Fujian industrial energy big data research institute,Grant No.KB180045Provincial Key Laboratory of industrial big data analysis and Application,Grant No.KB180029,Sanming City 5G Innovation Laboratory,Grant No.:2020 MK18.
文摘Aiming at the dynamics and uncertainties of natural colors affected by the natural environment,a color P-law generation model based on the natural environment is proposed to develop algorithms and to provide a theoretical basis for plant dynamic color simulation and color sensor data transmission.Based on the HSL(Hue,Saturation,Lightness)color solid,the proposed method uses the function P-set to provide a color P-law generation model and an algorithm of the Dynamic Colors System(DCS),establishing the DCS modeling theory of the natural environment and the color P-reasoning simulation based on the HSL color solid.The experimental results show that based on the color P-law,for the DCS of the natural environment,when the external factors change,the color of the plant changes,accordingly,verifying the effectiveness of the color P-law generation model and the algorithm of the DCS.In the dynamic color intel-ligent simulation system,when external factors change,the dynamic change of plant color generally conforms to the basic laws of the natural environment.This enables the effective extraction of color data from the Internet of Things(IoT)-based color sensors and provides an effective way to significantly reduce the data transmission bandwidth of the IoT network.
文摘P-集合(packet-sets)具有动态特性,它是由内P-集合XF-(internal packet set XF-)与外P-集合XF(outer packet set XF)构成的集合对(X-F,XF)。利用P-集合,给出-F-数据离散区间、F-数据离散区间的概念;利用这些概念,给出信息系统输出数据的数据离散区间特征,给出数据过滤概念;提出数据离散区间定理、数据还原定理、数据过滤定理、数据过滤剩余与数据辨识定理,给出应用。P-集合是研究信息系统输出数据变化的一个新理论与新方法。
文摘P-集合(packet sets)是把动态特性引入到有限普通集合(Cantor set)内,以改进有限普通集合而提出的。P-集合具有动态特性。P-集合是由内P-集合XF-(internal packet set XF-)与外P-集合XF(outer packet set XF)构成的集合对。利用P-集合,提出内P-等价类、外P-等价类、P等价类的概念;给出P-等价类还原定理、内P-等价类离散区间内点定理、外P-等价类离散区间外点定理、P-等价类离散区间子区间定理、P-等价类辨识准则;利用这些结果给出P-等价类在未知信息搜索-辨识中的应用。结果表明,P-集合与普通集合之间存在交叉、渗透空间,一些新结果潜藏在这个空间中。
文摘把动态特性引入到有限普通集合X内,改进了普通集合X,提出了P-集合(packet sets);P-集合是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性:内P-集合具有内-动态特性,外P-集合具有外-动态特性。把P-集合(X■,XF)引入到L.A.Zadeh模糊集A中,改进L.A.Zadeh模糊集A,提出P-模糊集(packet fuzzy sets)。P-模糊集是由内P-模糊集A■(internal packetfuzzy set A■)与外P-模糊集AF(outer packet fuzzy set AF)构成的模糊集合对,或者(A■,AF)是P-模糊集。P-模糊集具有动态特性,给出了P-模糊集的若干特征与应用。在一定条件下,P-模糊集(A■,AF)能够回到L.A.Zadeh模糊集A的"原点"。P-模糊集比L.A.Zadeh模糊集具有更大的应用空间。P-模糊集是模糊集理论与应用中的一个新的研究方向。