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《Systems Engineering-theory & Practice》 2005-02
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On the Intuitionistic Fuzzy Relations with Compositional Operations

LEI Ying-jie, WANG Bao-shu, MIAO Qi-guang( School of Computer Science and Engineering, Xidian University, Xi'an, 710071, China; Missile Institute, Air Force Engineering University, Sanyuan Shaanxi, 713800, China)  
The problems of Intuitionistic Fuzzy Relations and the compositional operations on Intuitionistic Fuzzy Sets by Atanassov, which is a significant extension of fuzzy set theory by Zadeh, are systemically investigated. The fundamental notions, definitions of IFSs and T-norms, T-conorms and their properties are first introduced by studying on the relationship between Atanassov IFSs and Zadeh Fuzzy Sets theories. The relations between IFSs. including reverse relations, Zero, Universal and Equality relations, and their compositions of operations are exposed with the emphasis on investigating their fundamental rules of operations, characteristic properties and related theorems and making out the necessary course of proof. The properties of reflexive, symmetric, and transitive on IFRs are proposed with the proof of the theorem of combination law on IFR operations. Finally, the effects of Atanassov's operator on the IFR properties, i. e. the effects on the properties of reflexive, symmetric, antisymmetric, perfect antisymmetric and transitive Intuitionistic fuzzy relations are generalized in two theorems called utility properties and equality properties.
【Fund】: 国防科技预研基金(51406030104DZ0120) 教育部高等学校骨干教师资助计划项目(GG-810-90039-1003)
【CateGory Index】: O159
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【References】
Chinese Journal Full-text Database 10 Hits
1 YANG Zhenguo WANG Jiayin(School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems of Ministry of Education,100875,Beijing,China);EQUATION FOR INTUITIONISTIC FUZZY RELATION[J];Journal of Beijing Normal University(Natural Science);2012-01
2 ZHANG Jin,CHEN Dong-feng (Department of Aviation Theory,Air Force Aviation University,Changchun 130022,China);Target Recognition Based on Intuitionistic Fuzzy Comprehensive Evaluation[J];Journal of Jilin University(Information Science Edition);2009-04
3 XU Xiaolai,LEI Yingjie,DAI Wenyi(Missile Institute,Air Force Engineering University,Sanyuan 713800,China);Intuitionistic Fuzzy Multi-Objective Programming Based on Genetic Algorithm[J];Electronics Optics & Control;2009-01
4 LEI Ying-jie~(1,2),WANG Bao-shu~1,WANG Yi~2(1.School of Computer Science and Technology,Xidian University,Xi'an,Shaanxi 710071,China;2.Missile Institute,Air Force Engineering University,Sanyuan,Shaanxi 713800,China);Techniques for Battlefield Situation Assessment Based on Intuitionistic Fuzzy Decision[J];Acta Electronica Sinica;2006-12
5 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
6 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
7 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
8 CHANG Yan(School of Network Engineering,Chengdu University of Information Technology,Chengdu 610225,China);Trust Evaluation Based on Intuitionistic Fuzzy Reasoning[J];Journal of Chengdu University of Information Technology;2012-04
9 TANG Xiao-jiang 1,2,LI Ke-dian 2(1-Jiangsu Yangzhong Senior High School,Zhenjiang 212200;2-Department of Mathematics and Information Science,Zhangzhou Normal University,Zhangzhou,Fujian 363000);Intuitionistic Fuzzy Rough Sets Based on the Composition of Intuitionistic Fuzzy Relations[J];Chinese Journal of Engineering Mathematics;2012-06
10 WANG Yi,LEI Ying-jie,WANG Jian(Missile Institute,Air Force Engineering University,Sanyuan 713800,China);A Method for Transformation of IFS into ZFS Based on Difference-amend[J];Aeronautical Computing Technique;2007-01
China Proceedings of conference Full-text Database 1 Hits
1 Shao Yong Ma Feng-wen (National Defense University,Beijing,100091);The Summarize of the Key Technology of the Battlefield Situation Assessment[A];[C];2007
【Citations】
Chinese Journal Full-text Database 2 Hits
1 LEI Ying-Jie~(1,2) WANG Bao-Shu~1(School of Computer Science and Engineering, Xidian University,Xi'an 710071)~1(Department of Computer Engineering,Air Force Engineering University,Sanyuan Shanxi 713800)~2;On the Semantic Operators for Intuitionistic Fuzzy Logic[J];Computer Science;2004-11
2 LEI Ying-jie~(1, 2), WANG Bao-shu~(1)(1. School of Computer Science and Engineering, Xidian University, Xi'an 710071, China;2. Missile Institute, Air Force Engineering University, Sanyuan 713800, China);On the equivalent mapping between extensions of fuzzy set theory[J];Systems Engineering and Electronics;2004-10
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Chai Xiaodong Wu Xiaopai Zhang Delong (Auhui University EEIS Dep. Hefei 230039);The Fuzzy Programming and Achievement of Body Focus Message[J];JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES);1996-03
2 WANG Guang-lei (Dept.of Math.,University of Southeast,Nanjing 210096,China);Design of PID controller based on fuzzy logic[J];Journal of Anhui University of Technology and Science;2005-03
3 Hu Jingxing;Li Guibin;Wang Qiang ( Department of Applied Mathematics,Beijing Polytechnic University,Bijing,100022);Convergency of the Power Sequence of A FuzzyMatrix on Min-S Composition[J];Journal of Beijing Polytechnic University;1998-02
4 Li Ke Liu Wangkai Wang Jun(School of Aeronautic Science and Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);Parameters self-tuning fuzzy-PID combined with expert control on wind velocity control system of wind tunnels at home[J];Journal of Beijing University of Aeronautics and Astronautics;2007-12
5 WANG Xue-qin ZHU Qun-xiong (College of Information Science and Technology,Beijing University of Chemical Technology,Beijing 100029,China);A fuzzy control of double inverted pendulum based on an improved table querying algorithm[J];Journal of Beijing University of Chemical Technology(Natural Science Edition);2006-01
6 Hu Yuling,Liu Jingwan(School of Electricity and Information Engineering,BUCEA,Beijing 100044);Fuzzy Control and Improvement of Water Level of Fire Alarm System[J];Journal of Beijing University of Civil Engineering and Architecture;2010-02
7 YANG Wen-guang,ZHAO Hai-liang(Mathematical College,Southwest Jiaotong University,Chengdu 610031,Sichuan,China);A linear interpolative reasoning approach under multidimensional fuzzy sparse rules[J];Journal of Baoji University of Arts and Sciences(Natural Science Edition);2008-02
8 LIN Lan,QIU Xiao-hong (Institute of Computer Science,Jiangxi Normal University,Nanchang 330027, China);An Algorithm for Multiple Targets Tracking Based on Fuzzy Self-Organizing Neural Network[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2005-01
9 XIE Xian zhong 1 BAI Chun yan 2 WANG Xin mei 3 (1.Chongqing Mobile Communications Engineering Research Center,Chongqing 400065);Application of Fuzzy Logic to Error-Correcting Codes[J];Journal of Chongqing University of Posts and Telecommunications;2000-03
10 XIA Ming-bo~1,WANG Xiao-chuan~1,JIN Shi-yao~1,JIANG Xiao-hui~2(1.National Key Lab.for Parallel and Distributed Processing,National University of Defense Technology,Changsha 410073,P.R.China;2.Hunan Mobile Communications Corp,Shaoyang 422000,P.R.China);Fuzzy control and its application in back servers of ASAS[J];Journal of Chongqing University of Posts and Telecommunications(Natural Science);2006-05
China Proceedings of conference Full-text Database 10 Hits
1 Gao Qian,Wang Xiuhong,Wei Xinjiang School of Mathematics and Information,Ludong University,Yantai 264025,Shandong,P.R.China;Design Methods of General Fuzzy Systems as Function Approximators[A];[C];2007
2 Wei Lixin,Tian Xuejing,Wang Hongrui,Song Yang Institute of Electrical Engineering Yanshan University,Qinhuangdao 066004,P.R.China;Identification Method of Fuzzy Inference System Based On Improved Fuzzy Clustering Arithmetic[A];[C];2008
3 Long Zuqiang 1,2,Liang Ximing 1,Yan Gang 1,Chen Liezun 2 1.School of Information Science and Engineering,Central South University,Changsha 410083,P.R.China.2.Department of Physics and Electronics Information Science,Hengyang Normal University,Hengyang 421008,P.R.China;Truth-Flowing Fuzzy Control Algorithm and Its Application in Temperature Control System[A];[C];2008
4 ;Kinematic Scheme Design Using Fussy Gravity Center Evaluattion Method[A];[C];1998
5 Ya-Qin Zheng,Yan-Jun Liu,Shao-Cheng Tong Department of Mathematics and Physics,Liaoning University of Technology,Jinzhou,Liaoning,121001;Direct Adaptive Fuzzy Control for Nonlinear Systems with Supervisory Control Performance[A];[C];2009
6 Xu Jinqiang~(1,2),Feng Zi-ping~2 1.College of Information,Guangdong Ocean University,Zhanjiang,524088,China 2.Guangzhou Institute of Energy Conversion,Chinese Academy of Sciences,Guangzhou,510640,China;Application of Two-stage Fuzzy PID Control in Variable Refrigerant Volume Air Conditioning Systems[A];[C];2009
7 Zhang Yufei, Tu Bengsheng,Shao Xiuli (College of Information Technical Science, Nankai University. Tianjin 300071);Modeling of Drip Velocity Soft Sensor in Chinese Materia Medica Pilule Manufacturing Process Based on PCA-FUZZY Hybrid Modeling Method[A];[C];2005
8 Pang Yanjun Wang Xiaorui Li Wenguo Science of college, Hebei University of Engineering;The non-completeness of t-norm on composition of fuzzy relation matrix[A];[C];2006
9 Shao Yong Ma Feng-wen (National Defense University,Beijing,100091);The Summarize of the Key Technology of the Battlefield Situation Assessment[A];[C];2007
10 Zhang Gang Shi Yibing Kang Gewen (College of Automation, University of Electronic Science and Technology of China, ChengDu 610054);Intelligent Temperature Control System of Electrical Furnace[A];[C];2008
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Cui1, SU Hai-bin2, HOU Chao-zhen1, WANG Xiao-yi31. Department of Automatic Control, Beijing Institute of Technology, Beijing 100081,China;2. North China University of Water Conservancy and Electric Power, Zhengzhou 450011,China;3.College of Information and Engineering, Beijing Technology and Business University, Beijing 100037,China;An Object Threat Assessment Method Based on Indefinite Multiple Attribute Decision Making[J];兵工学报(英文版);2007-01
2 XIN Ping(Gansu Highway and Transport Society, Lanzhou Gansu 730030, China);Embankment-Engineering Techniques for Rebuilding the National Highway 213 from Hezuo to Langmusi[J];Journal of Glaciology and Geocryology;2005-03
3 TANG Zheng1,2,SUN Chao1,LIU Zong-wei1,MENG Di1(1.School of Marine Technology,Northwestern Polytechnical University,Xi'an 710072,Shaanxi,China; 2.Department of Communication,20th Institute of China Electronics Technology Group Corporation,Xi'an 710068,Shaanxi,China);Research on Efficiency Evaluation for Underwater Acoustic Countermeasure System Based on Grey Hierarchy Analysis[J];Acta Armamentarii;2012-04
4 HUANG Xian-ming, YI Ji-kai (College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100022, China);The Development Actualities and Application Future on Rough Set Theory[J];Journal of Beijing Polytechnic University;2005-01
5 ZHOU Zhen~(1,2),WU Qi-zong~1,LIU Fu-xiang~3,PENG Yan-li~1(1.School of Management and Economics,Beijing Institute of Technology,Beijing100081,China;2.Department of Mathematics,Capital Normal University,Beijing100037,China;3.Department of Finance and Accounting,Beijing Institute of Economy and Management,Beijing100102,China);Multicriteria Decision-Making Based on Interval-Value Vague Sets[J];Journal of Beijing Institute of Technology;2005-11
6 ZHANG Jian-sheng,WU Qi-zong(School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China);Technique for Order Preference by Similarity to Ideal Solution(TOPSIS) Applied in Vague Sets[J];Transactions of Beijing Institute of Technology;2006-10
7 Luo Cheng-zhong;FUZZY RELATION EQUATIONS ON FINITE SETS[J];Journal of Beijing Normal University(Natural Science);1981-02
8 Miao Zhihong Li Hongxing (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);FUZZY RELATION EQUATION BASED ON INNER TRANSFORMATION[J];JOURNAL OF BEIJING NORMAL UNIVERSITY(NATURAL SCIENCE);2000-03
9 Zeng Wenyi Li Hongxing Shi Yu (Department of Mathematics,Beijing Normal University,100875,Beijing,China)$$$$;DECOMPOSITION THEOREM OF INTERVAL VALUE FUZZY SETS[J];Journal of Beijing Normal University(Natural Science);2003-02
10 Zeng Wenyi Li Hongxing Shi Yu (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);REPRESENTATION THEOREM OF INTERVAL-VALUED FUZZY SETS[J];Journal of Beijing Normal University(Natural Science);2003-04
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 Zhang Na,Wang Huizhen,Wang Junling,Zhang Yajun(Beijing University of Civil Engineering and Architecture,Beijing 100044,China);Study on the Optimal Distribution of Nontraditional Water Resources in Residential Area[J];Environmental Science and Management;2010-12
2 Zhao Lei,Wang Fuming(Institute of Electronic Technology,PLA Information Engineering University,Zhengzhou 450004,China);Method for Predicting Enemy's Airborne Area Based on Intuition Fuzzy Reasoning and Evidence Theory[J];Ordnance Industry Automation;2011-04
3 YANG Zhenguo CAO Lingling WANG Jiayin(School of Mathematical Sciences,Beijing Normal University,100875,Beijing,China);EXTENSION PRINCIPLE ON INTUITIONISTIC FUZZY SET[J];Journal of Beijing Normal University(Natural Science);2011-05
4 XU Xiang-yu,HUANG Xi-yue,ZHAO Yong,HUANG Yong(College of Automation,Chongqing University,Chongqing 400044,China);Fault Diagnosis with Empirical Model Decomposition and Intuitionistic Fuzzy Reasoning Neural Networks[J];Journal of Chongqing University of Technology(Natural Science);2010-04
5 YANG Li(School of Computer Science and Engineering,Jiangsu Teachers College of Technology, Changzhou 213001,China);The Least Square Priority Method for Triangular Fuzzy Number Complementary Judgment Matrix[J];Journal of Jiangsu Teachers University of Technology(Natural Science Edition );2008-03
6 XU Xiaolai,LEI Yingjie,DAI Wenyi(Missile Institute,Air Force Engineering University,Sanyuan 713800,China);Intuitionistic Fuzzy Multi-Objective Programming Based on Genetic Algorithm[J];Electronics Optics & Control;2009-01
7 SONG Chao,LEI Yingjie (Missile Institute,Air Force Engineering University,Sanyuan 713800,China);IFS Theory and Its Application in Fuzzy Information Processing[J];Electronics Optics & Control;2010-02
8 CHEN Wei1,LU Tingjin2,RONG Penghui2,LI Qing2,ZHAO Yanqing1(1.Engineering Institute,Air Force Engineering University,Xi'an 710038,China;2.Xuzhou Air Force College,Xuzhou 221000,China);A Method for Detecting Complex Mobile Event Based on RFNN[J];Electronics Optics & Control;2011-03
9 HAI Xin,LEI Yingjie(Missile Institute,Air Force Engineering University,Sanyuan 713800,China);A Situation Forecast Method Based on Intuitionistic Fuzzy Reasoning[J];Electronics Optics & Control;2011-04
10 SUN Jing-tao1,2,ZHANG Qiu-yu1,YUAN Zhan-ting1,and DONG Jian-she1(1.College of Computer and Communication,Lanzhou University of Technology Lanzhou 730050; 2.Gansu Oil Products Company,China Petroleum & Chemical Corporation Lanzhou 730030);Application of Game Theory for Email Feature Selection[J];Journal of University of Electronic Science and Technology of China;2011-01
China Proceedings of conference Full-text Database 3 Hits
1 ZHAO Meng,QIU Wan-hua(1.Department of management,Northeastern University at Qinhuangdao,Hebei 066004,China;2.School of Economics and Management,Beihang University,Beijing 100191,China);The Group Multi-attribute Decision making Model of Intuitionist Fuzzy Sets for Aviation Manufacturer’s Supplier Selection[A];[C];2011
2 Shao Yong Ma Feng-wen (National Defense University,Beijing,100091);The Summarize of the Key Technology of the Battlefield Situation Assessment[A];[C];2007
3 Hu Lunbin Department of Automation, Xiamen University, Xiamen, Fujian, 361005, China;An approach to construct entropy and similarity measure for interval-valued intuitionistic fuzzy sets[A];[C];2012
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 Zhang Jiang, Lin Hua, He Zhongxiong (Northern Jiaotong University, Beijing 100044, China)[;All Set and Artificial Intelligence[J];Engineering Science;2002-03
2 LEI Ying-jie~(1,2), SUN Jin-ping~1, WANG Bao-shu~2 ( 1. The Missile Institute, Air Force Engineering University, Sanyuan, Shaanxi 713800, China; 2. School of Computer Science and Engineering, Xidian University, Xi'an, Shaanxi 710071, China );On the Fussy Knowledge Processing and Extensions of Fuzzy Sets theory[J];Journal of Air Force Engineering University(Natural Science Edition);2004-03
3 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
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