JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 19-26.doi: 10.6040/j.issn.1671-9352.0.2014.377

Previous Articles     Next Articles

The attribute functions of P-sets and attribute conjunctive character-application of P-information fusion

ZHANG Jing-xiao, XU Feng-sheng   

  1. School of Mathematical Sciences, Dezhou University, Dezhou 253023, Shandong, China
  • Received:2014-08-20 Revised:2015-03-03 Online:2015-10-20 Published:2015-10-21

PDF (PC)

574

Abstract: By using the structure of P-sets, the concepts of element attribute and attribute function in P-sets are defined. The relationship between P-sets and attribute function, the counting problems of injection attribute function and the counting problems of surjection attribute function are discussed. Then the attribute conjunctive expansion-reduction characteristics of P-information fusion, the theorems of attribute conjunctive expansion of internal P-information fusion, the theorems of attribute conjunctive reduction of outer P-information fusion, the discovery theorems of internal P-information fusion possessed attribute conjunctive expansion, and discovery theorems of outer P-information fusion possessed attribute conjunctive reduction are given. Finally, the application instance of generation-discovery of internal P-information fusion possessed attribute conjunctive expansion is provided.

Key words: P-information fusion, P-sets, attribute function, attribute, attribute conjunctive

CLC Number: 

  • O144
[1] 史开泉. P-集合[J].山东大学学报:理学版,2008,43(11):77-84. SHI Kaiquan. P-sets[J]. Journal of Shandong University: Natural Science, 2008, 43(11):77-84.
[2] 史开泉.函数P-集合[J].山东大学学报:理学版,2011,46(2):62-69. Shi Kaiquan. Function P-sets[J]. Journal of Shandong University: Natural Science, 2008, 43(11):77-84.
[3] Shi Kaiquan. P-sets and its applications[J]. An International Journal Advances in Systems Science and Applications, 2009, 9(2):209-219.
[4] 于秀清. P-集合的识别与筛选[J]. 山东大学学报: 理学版,2010,45(1):94-98. YU Xiuqing. Recognition and screening of P-sets[J]. Journal of Shandong University: Natural Science, 2010, 45(1):94-98.
[5] ZHANG Li, CUI Yuquan. Outer P-sets and data internal recovery[J]. An International Journal Advances in Systems Science and Applications, 2010, 10(2):189-199.
[6] 林蓉,史开泉.函数P-集合与信息规律的属性控制[J].计算机科学,2012,39(7):225-228. LIN Rong, SHI Kaiquan. Function P-set and attribute control of information laws[J]. Computer Science, 2012, 39(7):225-228.
[7] 郭志林,赵树理,史开泉.基于随机P-集合的系统状态检测-识别[J].计算机科学,2013,40(7):178-181. GUO Zhilin, ZHAO Shuli, SHI Kaiquan. System state detection-recognition based on random P-sets[J]. Computer Science, 2013, 40(7):178-181.
[8] 张丽,催玉泉,史开泉.外P-集合与数据内-恢复[J].系统科学与电子技术,2010,32(6):1233-1238. ZHANG Li, CUI Yuquan, Shi Kaiquan. Outer P-sets and data internal-recovery[J].Systems Engineering and Electronics, 2010, 32(6):1233-1238.
[9] 汤积华,陈保会,史开泉.P-集合与(F,F)-数据生成-辩识[J]. 山东大学学报:理学版,2009,44(11):83-92. TANG Jihua, CHEN Baohui, SHI Kaiquan. P-sets and (F,F)-data generation-identification[J]. Journal of Shandong University: Natural Science, 2009, 44(11):83-92.
[10] 张环理,范成贤,史开泉.P-集合与内P-信息的显性-隐性特征[J]. 山东大学学报:理学版,2013,48(10):29-34. ZHANG Huanli, FAN Chengxian, SHI Kaiquan. P-sets and the dominant-recessive characteristics of internal P-information[J]. Journal of Shandong University: Natural Science, 2013, 48(10):29-34.
[11] 吴松丽,魏葆雅,史开泉.外 P-信息显性-隐性分离与显性-隐性分离定理[J]. 山东大学学报:理学版,2013,48(9):85-89. WU Songli, WEI Baoya, SHI Kaiquan. Dominant-recessive separation of outer P-information and the dominant-recessive separation theorem[J]. Journal of Shandong University: Natural Science, 2013, 48(9): 85-89.
[12] 史开泉.P-推理与信息的P-推理发现-辨识[J].计算机科学,2011,38(7):1-9. SHI Kaiquan. P-reasoning and P-reasoning discovery-identification of information[J]. Computer Science, 2011, 38(7):1-9.
[13] 刘道广,史开泉.外-遗传信息与它的外P-推理辨识[J]. 山东大学学报:理学版,2012,47(8):81-85. LIU Daoguang, SHI Kaiquan. Outer genetic information and its P-reasoning identification[J]. Journal of Shandong University: Natural Science, 2012, 47(8):81-85.
[14] 史开泉.P-集合、逆P-集合与信息智能融合-过滤辨识[J].计算机科学,2012,39(4):1-13. SHI Kaiquan. P-sets and the intelligent fusion-filter identification of information[J]. Computer Science, 2012, 39(4):1-13.
[15] 张景晓,徐凤生,史开泉.P-集合与它的动态等价类特征[J].计算机科学,2012,39(4):246-249. ZHANG Jinxiao, XU Fengsheng, SHI Kaiquan. P-sets and its dynamic equivalence classes characteristics [J]. Computer Science, 2012, 39(4):246-249.
[16] 于秀清.F-嵌入信息与F-遗传辨识-应用[J].计算机科学,2011,38(5):208-211. YU Ziuqing. F-outer Embedding information and F-heredity identification-application[J]. Computer Science, 2011, 38(5):208-211.
[17] 闫立梅,徐凤生.P-信息的属性合取扩张-收缩特征与P-信息的智能发现[J]. 山东大学学报:理学版,2014,49(2):98-103. YAN Limei, XU Fengsheng. Attribute conjunctive expansion-reduction characteristics and intelligent discovery of P-information[J]. Journal of Shandong University: Natural Science, 2014, 49(2):98-103.
[18] 张凌,汤积华,史开泉.内P-信息融合与它的属性合取特征[J]. 山东大学学报:理学版,2014,49(2):93-97. ZHANG Ling, TANG Jihua, SHI Kaiquan. The fusion of internal packet information and its feature of attribute conjunction[J]. Journal of Shandong University: Natural Science, 2014, 49(2):93-97.
[19] 张景晓,刘新华.函数P-集合与同物系物质结构-物性规律发现[J].山东大学学报:理学版,2012,47(8):98-102. ZHANG Jingxiao, LIU Xinhua. Function P-sete and discovery of structure-physical properties law in analogues system[J]. Journal of Shandong University: Natural Science, 2012, 47(8):98-102.
[20] 张景晓,徐凤生.函数内逆P-集合在QSPR研究中的应用[J]. 山东大学学报:理学版,2013,48(8):92-96. ZHANG Jingxiao, XU Fengsheng. Application of function internal inverse P-sets to QSPR research[J]. Journal of Shandong University: Natural Science, 2013, 48(8):92-96.
[21] LIN Hongkang, LI Yuying. P-sets and its P-separation theorems[J]. An International Journal Advances in Systems Science and Applications, 2010, 10(2):209-215.
[22] FAN Chengxian, LIN Hongkang. P-sets and reasoning-identification of disaster information[J]. International Journal of Convergence Information Technology, 2012, 7(1):337-345.
[23] LIN Hongkang, FAN Chengxian. The dual form of P-reasoning and identification of unknown attribute[J]. International Journal of Digital Content Technology and its Applications, 2012, 6(1):121-131.
[24] SHI Kaiquan. Function P-sets[J]. International Journal of Machine Learming and Cybernetics, 2011, 2(4):281-288.
[25] XIU Ming, SHI Kaiquan, ZHANG Li. P-sets and -data selection-discovery[J]. Quantitative Logic and Soft Computing, 2010, 1(2):791-800.
[1] LI Tong-jun, HUANG Jia-wen, WU Wei-zhi. Attribute reduction of incomplete contexts based on similarity relations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(8): 9-16.
[2] ZUO Zhi-cui, ZHANG Xian-yong, MO Zhi-wen, FENG Lin. Block discernibility matrix based on decision classification and its algorithm finding the core [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(8): 25-33.
[3] ZHANG En-sheng. Composition and structure on attribute reduction of interval-set concept lattices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(8): 17-24.
[4] REN Rui-si, WEI Ling, QI Jian-jun. Rules acquisition on three-way weakly consistent formal decision contexts [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(6): 76-85.
[5] HU Qian, MI Ju-sheng, LI Lei-jun. The fuzzy belief structure and attribute reduction based on multi-granulation fuzzy rough operators [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(7): 30-36.
[6] ZHANG Xiu-quan, LI Xiao-chao. P-information fusion and its P-matrix reasoning intelligent generation [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(4): 93-99.
[7] XU Feng-sheng, YU Xiu-qing, SHI Kai-quan. Surplus-loss value theorems of attribute cardinal numbers and internal-outer separation of information laws [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(4): 87-92.
[8] CHEN Xue, WEI Ling, QIAN Ting. Attribute reduction in formal decision contexts based on AE-concept lattices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 95-103.
[9] GUO Hua-long, ZHANG Ling. Data separation and its attribute state characteristics [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 89-94.
[10] ZHENG Jing, WANG Ying-ming, ZHANG Kai. The method of case retrieval with determining case attribute weights based on emergency decision perspective [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(1): 56-64.
[11] ZHANG Ling, REN Xue-fang, SHI Kai-quan. Intelligent switch-camouflage of information laws and P-law augmented matrices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 90-97.
[12] HUANG Wei-ting, ZHAO Hong, ZHU William. Adaptive divide and conquer algorithm for cost-sensitive attribute reduction [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 98-104.
[13] GUO Hua-long, REN Xue-fang, ZHANG Ling. Relationships between dynamic data mining and P-augmented matrix [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 105-110.
[14] SU Feng-long, XIE Qing-hua, HUANG Qing-quan, QIU Ji-yuan, YUE Zhen-jun. Semi-supervised method for attribute extraction based on transductive learning [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(3): 111-115.
[15] REN Xue-fang, ZHANG Ling. Perturbation theorems of inverse P-sets and perturbation-based data mining [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(12): 54-60.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd