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《Mathematics In Practice and Theory》 2005-01
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The Uniform Continuity of Fuzzy Integral-Transformations and Fuzzy Choquet Integrals

WANG Gui-jun, LI Xiao-ping (College of Mathematics Science, Tianjin Normal University, Tianjin 300074, China)  
On the general nonnegative monotone functions space m[0, a], this paper introduces the concepts of fuzzy integral transfsrmations and the distance, proves that fuzzy integral transformations and fuzzy Choquet integrals are uniform continuity with respect to this kind of distance on m[0, a]. Consequently, it follows that corresponding fuzzy integral tranformations and fuzzy Choquet integrals have not large change when the two functions on m[0,a] have little change.
【Fund】: 国家自然科学基金项目 (5 0 3 0 5 0 2 3 );; 天津市高等学校科技发展基金项目 (2 0 0 3 1 41 0 )
【CateGory Index】: O159
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【References】
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1 Wang Guijun School of Mathematics Science, Tianjin Normal University, Tianjin 300384 Li Xiaoping School of Management, Tianjin Normal University, Tianjin 300384;PSEUDO-AUTOCONTINUITY AND HEREDITY OF GENERALIZED FUZZY NUMBER-VALUED CHOQUET INTEGRALS[J];Journal of Systems Science and Mathematical Sciences;2006-04
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 WANG Guijun(College of Mathematics Science,Tianjin Normal University, Tianjin 300074, China);Autocontinuity of Generalized Fuzzy Choquet Integrals[J];Journal of Tianjin Normal University (Natural Science Edition);2003-01
2 WANG Gui-jun, LI Xiao-ping (Institute of Mathematics Science, Tianjin Normal University, Tianjin 300074, China);On Null-additivity of Generalized Fuzzy Valued Choquet Integrals[J];Systems Engineering-theory & Practice;2004-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 DUAN Bao-bin SUN Mei-lan(Hefei University,Hefei 230601);A Method for Information Fusion Based on Multiple Classifier and Multiple Fuzzy Integral[J];Journal of Chongqing University of Science and Technology(Natural Sciences Edition);2008-03
2 Lü Tie-jun Wei Ping Xiao Xian-ci (Dept. Electronic Eng. UEST of China, Chengdu Sichuan 610054,China);Modulation recognition of signals based on fractal and measure theory[J];Chinese Journal of Radio Science;2001-01
3 WANG Gui-jun (College of Mathematics Science,Tianjin Normal University,Tianjin 300074,China);Convergence of generalized fuzzy choquet integrals[J];Journal of Northeast Normal University (Natural Science Edition);2005-01
4 HU Jian-zhong,XU Fei-yun,JIA Min-ping,ZHONG Bing-lin (Department of Mechanical Engineering, Southeast University, Nanjing 210096, China);A Study on Decision Fusion in Multi-agent Based Diagnosis System[J];Electro-mechanical Engineering;2005-04
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7 PAN Wen-wu1,2,MA Yong1(1.College of Mathematics and Informational Science,Northwest Normal University,Lanzhou 730070,China;2.Department of Mathematics,Sichuan University of Science and Technology,Zigong 643000,China);Weak Autocontinuity of Set-valued Mapping under a Fuzzy Order[J];Journal of Gansu Sciences;2009-04
8 HA Ming_hu,WANG Rui_sheng,YANG Lan_zhen (College of Mathematics and Computer,Hebei University,Baoding 071002,China);Further Discusses on a Quasi-Measure and a Fuzzy Measure[J];Journal of Hebei University(Natural Science Edition);2001-03
9 HA Ming-hu,LI Xin(College of Mathematics and Computer,Hebei University,Baoding 071002,China);Choquet Integral Based on Self-dual Measure[J];Journal of Hebei University(Natural Science Edition);2008-02
10 HE Yong-jun1,2(1.Dam Safety and Management Department,Nanjing Hydraulic Research Institute,Nanjing 210029,China;2.Dam Safety Management Center of Ministry of Water Resources,Nanjing 210029,China);Application of fuzzy measure theory in DSIDSS[J];Journal of Hohai University(Natural Sciences);2008-05
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1 Lian Huajuan Department of Mathematics,Northeastern University,Shenyang,China,110004 Li Xiaoqi Department of Information and Computing Science,Northeastern University at Qinhuangdao,Hebei 066004;Fuzzy Linear Regression Analysis[A];[C];2008
2 TONG Zhong-wen HE Jian-min (School of Economics and Management, South East University, Nanjing 211189, China);Fuzzy Measures of Liquidity Risk Based on Option Pricing Approach[A];[C];2008
【Co-references】
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1 Li Jun(Department of Applied Mathematics, Southeast University, Nanjing 210096);Finite Null-Subtractivity of Fuzzy Measure[J];东南大学学报(英文版);2000-02
2 Ouyang Yao Li Jun(Department of Mathematics, Southeast University, Nanjing 210096, China);Some properties of monotone set functions defined by Choquet integral[J];东南大学学报(英文版);2003-04
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5 WANG Li-she (Department of Mathematics,Langfang Teacher's College,Langfang 065000,China);Completion of a Fuzzy Number-Valued Fuzzy Measure[J];Fuzzy Systems and Mathematics;2001-04
6 ZHANG De-li~1,GUO Cai-mei~2,WU Cong-xin~3 (1. Jilin Province Institute of Eduction,Changchun 130022,China; 2. Department of Basic Science,Changchun University,Changchun 130022,China; 3. Harbin Institute of Technology,Harbin 150001,China);The Development of the Theory of Fuzzy Integrals[J];Fuzzy Systems and Mathematics;2003-04
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9 WANG Gui-jun, LI Xiao-ping (Institute of Mathematics Science, Tianjin Normal University, Tianjin 300074, China);On Null-additivity of Generalized Fuzzy Valued Choquet Integrals[J];Systems Engineering-theory & Practice;2004-02
10 QIU Yu-feng (Department of Mathematics, Long yan Teachers College, Longyan 364000, China);Convergence and Uniform Integrability for Sequence of B-valued Random Elements[J];Journal of ZhangZhou Teachers College;2004-02
【Secondary References】
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1 LI Yan-hong (Department of Mathematics,Teacher's College,Easten Liaoning University,Dandong 118000,China);Convex Cone Structure of Fuzzy Choquet-integrable Functions Spaces[J];Fuzzy Systems and Mathematics;2008-06
2 LI Yan-hong1,WANG Gui-jun2(1.Department of Mathematics,Teacher's College of Easten Liaoning University,Dandong 118000,Liaoning,China;2.School of Mathematics Science,Tianjin Normal University,Tianjin 300387,China);Strongly order continuity and pseudo-S-property of generalized fuzzy valued Choquet integrals[J];Journal of Shandong University(Natural Science);2008-04
3 WANG Guijun (School of Mathematics Science,Tianjin Normal University,Tianjin 300387) LI Xiaoping (School of Management,Tianjin Normal University,Tianjin 300387);ON THE C-I AVERAGE CONVERGENCE FOR SEQUENCE OF FUZZY VALUED FUNCTIONS[J];Journal of Systems Science and Mathematical Sciences;2009-02
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1 Wen-shuang Yu~1 Xiao-qi Li~2 1 School of Sciences,Northeastern University,Shenyang 110004, Liaoning 2 Northeast University at Qinhuangdao,Qinhuangdao 066004, Hebei;(Y)Fuzzy Integral Based on the Choquet Integral and(N)Integral[A];[C];2009
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 WANG Guijun(College of Mathematics Science,Tianjin Normal University, Tianjin 300074, China);Autocontinuity of Generalized Fuzzy Choquet Integrals[J];Journal of Tianjin Normal University (Natural Science Edition);2003-01
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