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《Mathematics in Practice and Theory》 2008-01
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The Direct Product Characteristics of the Intuitionistic Fuzzy Groups with Respect to T-S Norms

LI Xiao-ping,ZHENG Cheng-wu(School of Management,Tianjin Normal University,Tianjin 300387,China)  
We first generalize the concepts of T norm and S norm,study some elementary properties of generalized T norm and S norm.Furthermore,define the outer direct product and internal direct product of intuitionistic fuzzy groups in the sense of dual norms,respectively.Finally,we prove that the two kinds of intuitionistic fuzzy groups are isomorphic with certain conditions.
【Fund】: 国家自然科学基金项目(70571056)
【CateGory Index】: O159
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【References】
Chinese Journal Full-text Database 1 Hits
1 CHEN Lu (Department of Mathematics,Shaanxi University of Technology,Hanzhong 723001,China);Intuitionistic T-S Fuzzy Subalgebras and Ideals in Boolean Algebras[J];Mathematics in Practice and Theory;2010-18
【Citations】
Chinese Journal Full-text Database 3 Hits
1 LI Xiao-ping,WANG Gui-jun (Department of Mathematics,Tianjin Normal University,Tianjin 300074,China);The Extension Operations of the Intuitionistic Fuzzy Sets[J];Fuzzy Systems and Mathematics;2002-01
2 LI Xiao-ping(School of Mathematics Science, Tianjin Normal University , Tianjin 300074,China);The Intuitionistic Fuzzy Group with respect to Trigonal Norms and Its Homomorphic Image[J];Fuzzy Systems and Mathematics;2005-01
3 LI Xiaoping(College of Mathematics Science,Tianjin Normal University, Tianjin 300074, China);The Intuitionistic Fuzzy Groups of T-S Norms and Their Operations[J];Journal of Tianjin Normal University (Natural Science Edition);2003-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Xiao-ping1,WANG Gui-jun2( 1.School of Management,Tianjin Normal University,Tianjin 300387,China;2.School of Mathematics,Tianjin Normal University,Tianjin 300387,China);A few kinds of intuitionistic fuzzy groups on a direct product group and their projections[J];Pure and Applied Mathematics;2009-01
2 LI Xiao-ping~1,ZHAO Jian-hong~2 (1.Institute of Mathematics Science,Tianjin Normal University,Tianjin 300074,China; 2.Department of Mathematics,Tonghua Teachers College,Tonghua 134002,China);Characteristic of the homomorphism image of the intuitionistic fuzzy normal subgroups[J];Journal of Northeast Normal University (Natural Science Edition);2004-01
3 Techniques for Threat Assessment Based on Intuitionistic Fuzzy Reasoning Lei Ying-jie~(①②) Wang Bao-shu~①Wang Yi~②~①School of Computer Science and Engineering,Xidian University,Xi'an 710071,China ~②Missile Institute,Air Force Engineering University,Sanyuan 713800,China;Techniques for Threat Assessment Based on Intuitionistic Fuzzy Reasoning[J];Journal of Electronics & Information Technology;2007-09
4 Lei Ying-jie①② Wang Bao-shu① Lu Yan-li② ①(School of Computer Science and Engineering,Xidian University,Xi’an 710071,China) ②(Missile Institute,Air Force Engineering University,Sanyuan 713800,China);Techniques for Threat Assessment Based on Adaptive Intuitionistic Fuzzy Reasoning[J];Journal of Electronics & Information Technology;2007-12
5 XU Xiao-lai LEI Ying-jie LEI Yang(Missile Institute,Air Force Engineering University,Sanyuan 713800,China);Residual Implication of Intuitionistic Fuzzy Triangle Norm and its Properties[J];Computer Science;2008-11
6 CHENG Tao MI Ju-sheng(College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050016,China);Correlation Properties of T-intuitionistic Fuzzy Subgroups[J];Computer Science;2009-12
7 XIA Bo-ling,HE Zheng-hong,LEI Ying-jie (Missile Institute,Air Force Engineering University,Sanyuan 713800);Improved Algorithm of Threat Assessment Based on Intuitionistic Fuzzy Reasoning[J];Computer Engineering;2009-16
8 LEI Ying-jie,WANG Jian,DU Peng-bo(1.The Missile Institute,Air Force Engineering University,Sanyuan 713800,China;2.Training Department,Air Force Engineering University,Xi'an,Shaanxi 710051,China);Intuitional Extension of Larsen Fuzzy Reasoning Algorithm[J];Journal of Air Force Engineering University(Natural Science Edition);2007-05
9 LEI Ying-jie~ 1,2 , WANG Bao-shu~1, LU Yan-li~2 (1.School of Computer Science and Engineering, Xidian University, Xi'an 710071, China; 2.Department of Computer Engineering, Air Force Engineering University, Sanyuan 713800, China. );Approximate Reasoning Method Based on Intuitionistic Fuzzy Logic[J];Control and Decision;2006-03
10 LEI Ying-jie,LU Yan-li,LI Zhao-yuan(Missile Institute,Air Force Engineering University,Sanyuan 713800,China.;Function approximation capabilities of intuitionistic fuzzy reasoning neural networks[J];Control and Decision;2007-05
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1 ZHU Hua, XU Yang, CHEN Shu-wei (Department of Applied Mathematics,Southwest Jiaotong University, Chengdu 610031,China);The Extension Operations of the Fuzzy Sets Product[A];[C];2004
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 SUN Shao-quan(Department of Mathematics and physics,Qingdao University of Science and Technology,Qingdao 266061,China);Fuzzy Subalgebras and Fuzzy Ideals of Boolean Algebra[J];Fuzzy Systems and Mathematics;2006-01
2 CHEN Quan,SUN Shao-quan(College of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China);Intuitionistic Fuzzy Subalgebras and Intuitionistic Fuzzy Ideals of Boolean Algebra[J];Journal of Qingdao University of Science and Technology(Natural Science Edition);2008-01
3 LI Xiaoping(College of Mathematics Science,Tianjin Normal University, Tianjin 300074, China);The Intuitionistic Fuzzy Groups of T-S Norms and Their Operations[J];Journal of Tianjin Normal University (Natural Science Edition);2003-03
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 LI Xiao-ping~1,ZHAO Jian-hong~2 (1.Institute of Mathematics Science,Tianjin Normal University,Tianjin 300074,China; 2.Department of Mathematics,Tonghua Teachers College,Tonghua 134002,China);Characteristic of the homomorphism image of the intuitionistic fuzzy normal subgroups[J];Journal of Northeast Normal University (Natural Science Edition);2004-01
2 LI Xiao ping,WANG Gui jun (Department of Mathematics,Tonghua Teachers’ College,Tonghua 134002,China);Intuitionistic Fuzzy Group and Its Homomorphisic Image[J];FUZZY SYSTEMS AND MATHEMATICS;2000-01
3 LI Xiao-ping,WANG Gui-jun (Department of Mathematics,Tianjin Normal University,Tianjin 300074,China);The Extension Operations of the Intuitionistic Fuzzy Sets[J];Fuzzy Systems and Mathematics;2002-01
4 WANG Gui-jun~1, LI Xiao-ping~2(1.Institute of Mathematics Science, Tianjin Normal University, Tianjin 300074, China; 2. Department of Mathematics, Tonghua Teachers' College, Tonghua 134002, China);The Structure of the Product of Intuitionistic Fuzzy Normal Subgroups[J];Systems Engineering-theory & Practice;2003-11
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