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《Journal of Tianjin Normal University (Natural Science Edition)》 2003-03
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The Intuitionistic Fuzzy Groups of T-S Norms and Their Operations

LI Xiaoping(College of Mathematics Science,Tianjin Normal University, Tianjin 300074, China)  
On the basis of the definition of the intuitionistic fuzzy groups, we generalized the operators "∧" and "∨" to T norm and S norm, respectively, defined the intuitionistic fuzzy groups with of TS norms, gave its equivalent definition in the sence of dual norms, and proved a few equivalent propositions that an intuitionistic fuzzy set is an intuitionistic fuzzy group of TS norms. Finally, some operations of this kinds of intuitionistic fuzzy groups are studied.
【Fund】: 吉林省高校自然科学基金资助项目(200052);; 天津师范大学引进人才科研启动基金资助项目(1355RL016)
【CateGory Index】: O159
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【References】
Chinese Journal Full-text Database 1 Hits
1 LI Xiao-ping,ZHENG Cheng-wu(School of Management,Tianjin Normal University,Tianjin 300387,China);The Direct Product Characteristics of the Intuitionistic Fuzzy Groups with Respect to T-S Norms[J];Mathematics in Practice and Theory;2008-01
【Citations】
Chinese Journal Full-text Database 2 Hits
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2 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
【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 Lei Ying-jie①② Wang Bao-shu① Wang Jing-jing② ①(School of Computer Science and Engineering, Xidian University, Xi’an 710071, China) ②(Missile Institute, Air Force Engineering University, Sanyuan Shaanxi 713800, China);Intuitionistic Fuzzy Conditional Reasoning with the Confidence Spreading[J];Journal of Electronics & Information Technology;2006-10
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5 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
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 JINYing\|wei,CHIZhong\|xian,LIYan\|hong,XI\ Hong\|bo( Dept. of Comput., Dalian Univ. of Technol., Dalian 116024, China );Comprehensive evaluation method and its application of tendency sequencing based on SPA linking numbers[J];Journal of Dalian University of Technology;2002-06
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【Secondary References】
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