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《Journal of Mathematics》 2006-06
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AUTOCONTINUITY OF K-QUASI-ADDITIVE FUZZY NUMBER VALUED INTEGRALS

WANG Gui-jun1, LI Xiao-ping2 (1. College of Math. Science,Tianjin Normal University,Tianjin 300074,China) (2. School of Science, Tianjin University of Science and Technology, Tianjin 300191, China)  
In this paper, we establish the K-quasi-additive fuzzy number valued integrals on the K-quasi-additive fuzzy measure space, and applying the integral transformation theorem, regard the whole kind of integrals as a set functions taking valued fuzzy numbers on the measurable spaces, which makes this kind of fuzzy integrals possess not only autocontinuity but also converse-autocontinuity. These characteristics can be used well to describe the convergence properties of sequences of fuzzy valued measurable functions and K-quasi-additive fuzzy number valued integrals.
【Fund】: 国家自然科学基金项目(70571056);; 天津市高校科技发展基金项目(20031410).
【CateGory Index】: O159
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 Jiang Xingzhong (Department of Mathematics);tK——INTEGRAL AND Kt——INTEGRAL[J];Journal of Sichuan Normal University(Natural Science);1993-02
2 Wang Guijun Li Xiaoping (Department of Mathematics, Tonghua Teacher’s Collge, Tonghua 134002, Jilin);ABSOLUTE CONTINUITY OF K PSEUDO ADDITIVE FUZZY INTEGRALS[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);1998-03
3 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 Feng Yuan(Department of Mathematics and Physics,Beijing Institute of Petro-chemical Technology,Beijing 102617);A Class of All-coefficient-fuzzy Programming and Its Algorithm[J];Journal of Beijing Institute of Petro-Chemical Technology;2006-03
2 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
3 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
4 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
5 LI Yan-hong (Department of Mathematics,Teachers College,East Liaoning University,Dandong 118003,China);Some extended properties of the K-quasi-additive set-valued fuzzy integrals[J];Journal of Northeast Normal University(Natural Science Edition);2008-04
6 LI Yan-hong,LIANG Xiao-li(Teacher's College,Eastern Liaoning University,Dandong 118003,China);Supplemental Properties of Generalized Sugeno Fuzzy Integral[J];Journal of Eastern Liaoning University(Natural Science);2009-01
7 LI Yan-hong(Teacher's College,Eastern Liaoning University,Dandong 118003,China);Sublinearity of Generalized Sugeno Fuzzy Integrals[J];Journal of Eastern Liaoning University(Natural Science);2010-01
8 Ouyang Yao Li Jun (Department of Mathematics, Southeast University, Nanjing 210096, China);Note on the definition of fuzzy number-valued fuzzy measurable functions[J];Journal of Southeast University (Natural Science Edition);2003-06
9 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
10 L Tie jun,GUO Shuang bing,XIAO Xian ci(Dept.Electronic Eng.UEST of China,Chengdu,Sichuan 610054,China);A Method of Modulation Identification for Communication Signals Based on Fuzzy Integral[J];Acta Electronica Sinica;2001-06
China Proceedings of conference Full-text Database 3 Hits
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
3 Wei Li;Mu Zhang;Ying He;Wentao Yang;Luojia Gan;School of Finance, Guizhou University of Finance and Economics;School of International Economy, Guizhou University of Finance and Economics;;Research on Assessment of Drought Hazard Risk in Bijie Region Based on Choquet Fuzzy Integral[A];[C];2013
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Wang Guijun Li Xiaoping(Dept. of Math. ,Tonghua Teacher's College ,Tonghua City);The Uniform Continuity of S-Fuzzy Integral-Transformations and The Fuzzy Integrals[J];;1996-08
2 LI Yan-hong (Department of Mathematics,Teachers College,East Liaoning University,Dandong 118003,China);Some extended properties of the K-quasi-additive set-valued fuzzy integrals[J];Journal of Northeast Normal University(Natural Science Edition);2008-04
3 LI Yan-hong(Teacher's College,Eastern Liaoning University,Dandong 118003,China);Sublinearity of Generalized Sugeno Fuzzy Integrals[J];Journal of Eastern Liaoning University(Natural Science);2010-01
4 GUO Si-cong (Department of Basic Science, Liaoning Technical University, Fuxin 123000, China);Method of structuring element in fuzzy analysis(Ⅰ)[J];Journal of Liaoning Technical University;2002-05
5 GUO Si-cong (Department of Basic Science, Liaoning Technical University, Fuxin 123000, China);Method of structuring element in fuzzy analysis(Ⅱ)[J];Journal of Liaoning Technical University;2002-06
6 Wang Jiafang (Dept of Mathematics, Guangzhou Normal University);Fuzzy Measure on Fuzzy Sets[J];JOURNAL OF GUANGZHOU NORMAL UNIVERSITY;1997-01
7 LI Yan-hong1,WANG Gui-jun2 (1.Department of Mathematics,Teacher's College,Easten Liaoning University,Dandong 118000,Liaoning Province,China;2.School of Mathematics Science,Tianjin Normal University,Tianjin 300387,China);Generalized Sugeno fuzzy integrals on K-quasi-additive fuzzy measure space.[J];Journal of Zhejiang University(Science Edition);2010-04
8 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
9 PENG Wei-ling~1,SUN Gang~1,WANG Gui-jun~2 (1. Department of Mathematics,Tonghua Teachers’ College,Tonghua 134002,China; 2. Institute of Mathematics Science,Tianjin Normal University,Tianjin 300074,China);Some Notes on the K-Quasi-Additive Fuzzy Integrals[J];Fuzzy Systems and Mathematics;2003-04
10 GUO Si-zong(Department of basic science, Liaoning Engineering Technique University, Fuxin 123000,China);Transformation Group of Monotone Functions with Same Monotonic Formal on [-1,1] and Operations of Fuzzy Numbers[J];Fuzzy Systems and Mathematics;2005-03
【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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