
NAME: HongXing Li (H.X. Li, 李洪兴)

PROFESSIONAL AFFILIATION: 

l Ph.D. Tutor, Applied Mathematics Specialty, School of Mathematical Sciences, Beijing Normal University, China (1996present) l Professor, School of Mathematical Sciences, Beijing Normal University, China (1994present) l Director, Research Center of Fuzzy Systems and Fuzzy Information, School of Mathematical Sciences, Beijing Normal University, China (2000present) l Director, Laboratory of Complex Systems and Intelligent Control, School of Mathematical Sciences, Beijing Normal University, China (2001present) l Associate Professor, Department of Mathematics, Beijing Normal University, China (19901994) l Associate Professor, Department of Mathematics, Tianjin Polytechnic University, China (19881990) l Lecturer, Department of Mathematics, Tianjin Polytechnic University, China (19781990) l Visiting Professor, Department of Computer Sciences & Engineering, and Department of Management Sciences & Information Systems, Wright State University, Dayton, OH 45435, USA (September, 1998July, 1999); Many other short visits in Singapore, Japan, Spain, etc. 

CONCURRENT POSTS:  
l Chairman, Application and Development Committee of Fuzzy Mathematics and Systems Association of China (1998present) l Managing Director, Fuzzy Mathematics and Systems Association of China (1987present) l Vice Chairman, Fuzzy Technology Standardization Committee of China (1996present) l Vice Chairman, Intelligent System Engineering Committee of Artificial Intelligence Association of China (2001present) l Member, International Fuzzy Systems Association (1985present) l Member, IEEE (2000present) 

EDITORIAL APPLICATION:  
l Managing Member of Editorial Board, “Fuzzy Systems and Mathematics” (Official Journal of Fuzzy Mathematics and Systems Association of China) (1987present) l Member of Editorial Board, “Journal of Systems Engineering” (Official Journal of Systems Engineering Society of China) (1997present) l Reviewer, “Zentralblatt fur Mathematik (Mathematics Abstracts), Germany” (1989present) 

AWARDS AND GRANTS:  
l Winner of First Prize of Nature Science issued by Ministry of Education of China, 2002. l Winner of Excellent Paper Awards of ANNIE 2001 (ARTIFICIAL NEURAL NETWORKS IN ENGINEERING); the paper is “Adaptive fuzzy controllers based on variable universe theory, part 1: theory & property”. l Winner of Excellence Core Teacher Awards of Ministry of Education of China, 2002. l Dr. Li was given the title of “NationalRank Expert with Outstanding Contribution” by Ministry of Personnel of China and Ministry of Science and Technology of China, 1986. l Winner of the project “Spanning Century Outstanding Scientist Award of Ministry of Education of China” (The amount of award: 200,000 Chinese dollars; the period: 19982000). l The book “Fuzzy Mathematics in Engineering” written by Hongxing Li win the Second Prize of Excellent Science and Technology Books around Ten Provinces in Northern China, 1994. l The book “Mathematical Theory of Knowledge Representation” written by Hongxing Li win the Second Prize of Excellent Science and Technology Books around Ten Provinces in Northern China, 1995. l Managing researcher of the project “Modeling on fuzzy control systems” supported by the National Natural Science Foundation of China (Grant No.60174013; the amount of funds: 170,000 Chinese dollars; the period: 20022004). l Managing researcher of the project “Mathematical theory of intelligent computing” supported by Ministry of Education of China (the amount of funds: 360,000 Chinese dollars; the period: 20012002) l Managing researcher of the project “Fuzzy Control Based on Universe" supported by the National Natural Science Foundation of China (Grant No.69974006; the amount of funds: 100,000 Chinese dollars; the period: 20002002). l Managing researcher of the project “Mathematical essence of fuzzy logic controls and fine fuzzy logic controllers” supported by the National Natural Science Foundation of China (Grant No.69674014; the amount of funds: 100,000 Chinese dollars; the period: 19971999). l Managing researcher of the project “Fuzzy expert diagnosis system of missile launching system" supported by the Second Artillery Troops (the amount of funds: 70,000 Chinese dollars; 19951997). l Managing researcher of the project “Fuzzy logic control based on factor spaces theory” supported by the National Natural Science Foundation of China (Grant No.69674011; the amount of funds: 70,000 Chinese dollars; the period: 19951996). l Managing researcher of the project “Fuzzy expert systems and its applications” supported by the National Ph.D. Program Foundation of China (the amount of funds: 32,000 Chinese dollars; the period: 19921994). l Key researcher of the project “Fuzzy information processing and machine intelligence” supported by the National Natural Science Foundation of China (Grant No.69885013; the amount of funds: 1,350,000 Chinese dollars; the period: 19891991). 

RESEARCH INTERESTS:  
l 19821995; Fuzzy perturbation theory, Stability of fuzzy relational equations, Structure of power algebra, Fuzzy clustering based on perturbation, Mathematical theory of knowledge representation, Cardinal number of fuzzy set, Variable weight theory, Lattice topology and hyperspace, Fuzzy decisionmaking, Theory of Feature Spaces, etc. l 1995present; Fuzzy logic systems, Fuzzy control theory, Neural networks, Fuzzyneural systems, Neurofuzzy systems, Bioinformatics, Mathematical theory of knowledge representation, etc. l The major innovations in recent years are listed as follows; 1) It was discovered that fuzzy controller is essentially a kind of interpolators. 2) The relationships between fuzzy controllers, Pcontrollers, PIcontrollers, PDcontrollers and PIDcontrollers were revealed. 3) The theory of variable universe adaptive fuzzy control was firstly proposed, and then the variable universe adaptive fuzzy controller was designed and discussed. Simulation and hardware experiments show that such a fuzzy controller has quite good stability and robustness, and is one of the efficient tools for dealing with nonlinear systems. It contains many merits such as models adaptation, control rules selfregulating and selforganization, and membership functions selfgenerating, etc., and enhances greatly control quality. For example, it has very high precision without oscillation and overshoot. Especially, the settling time is very short, only being 1/200 to 1/500 of other control methods. 4) The equivalence of fuzzy logic systems and feedforward neural networks was proved. The outputfeedback fuzzy logic system was firstly defined, and the equivalence of such fuzzy logic systems and feedback neural networks was confirmed. 5) The hardware system of quadruple inverted pendulum was implemented firstly in the world by using the variable universe adaptive fuzzy control theory. 6) The hardware system of triple spherical inverted pendulum was achieved firstly in the world by using the hyperspace variable universe adaptive fuzzy control theory. 

PUBLICATION OF BOOKS:  
Part 1. In English [1] HongXing Li and Vincent C.Yen, Fuzzy Sets and Fuzzy DecisionMaking, CRC Press, FL, USA, 1995. [2] Peizhuang Wang and HongXing Li, Fuzzy Information Processing and Fuzzy Computers, Science Press, New York/Beijing, 1997. [3] HongXing Li, P.C. Philip Chen and HanPang Huang, Fuzzy Neural Intelligent Systems, CRC Press, FL, USA, 2001. [4] Puyin Liu and HongXing Li, Fuzzy Neural Network Theory and Application, World Scientific Press, Singapore, 2004. Part 2. In Chinese [5] HongXing Li, Introduction to Fuzzy Mathematics, Sichuan Education Press, Sichuan, 1987. [6] Hongxing Li, Fuzzy Mathematics in Engineering, Tianjin Science and Technology Press, Tianjin, 1993. [7] HongXing Li and PeiZhuang Wang, Fuzzy Mathematics, National Defense Industry Press, Beijing, 1994. [8] PeiZhuang Wang and HongXing Li, Mathematical Theory of Knowledge Representation, Tianjin Science and Technology Press, Tianjin, 1994. [9] PeiZhuang Wang and HongXing Li, Fuzzy Systems Theory and Fuzzy Computers, Science Press, Beijing, 1996. [10] XiangHao Li, HongXing Li, ShiQuan Chen and PeiZhuang Wang, Fuzzy Clustering Analysis and Its Applications, Guizhou Science and Technology Press, Guizhou, 1997. 

PUBLICATION OF PAPERS:  
Part 1. In English [1] HongXing Li and C.L. Philip Chen, The equivalence between fuzzy logic systems and feedforward neural networks, IEEE Transactions on Neural Networks, 11(2), 2000, 356365. (SCI) [2] HongXing Li, Interpolation mechanism of fuzzy control, Science in China (Series E), 41(3), 1998, 312320. (SCI) [3] HongXing Li, The relationship between fuzzy controllers and PID controllers, Science in China (Series E), 42(2), 1999, 215224. (SCI) [4] HongXing Li, Adaptive fuzzy controllers based on variable universe, Science in China (Series E), 42(1), 1999, 1020. (SCI) [5] HongXing Li, Outputback fuzzy logic systems and equivalence with feedback neural networks, Chinese Science Bulletin, 45(7), 2000, 592596. (SCI) [6] HongXing Li, ZhiHong Miao, JiaYin Wang, Variable universe adaptive fuzzy control on the quadruple inverted pendulum, Science in China (Series E), 2002, 45(2), 213224. (SCI) [7] HongXing Li, ZhiHong Miao, JiaYin Wang, Variable universe stable adaptive fuzzy control of nonlinear system, Science in China (Series E), 2002, 45(3), 225240. (SCI) [8] HongXing Li, JiaYin Wang, ZhiHong Miao, Modeling on fuzzy control systems, Science in China (Series A), 2002, 45(12), 15061517. (SCI) [9] HongXing Li and LiDa Xu, A neural network representation of linear programming, European Journal of Operational Research, 124(2), 2000, 224234. (SCI) [10] HongXing Li and L.X. Li, Representing diverse mathematical problems using neural networks in hybrid intelligent systems, Expert Systems, 16(4), 1999, 262272. (SCI) [11] HongXing Li, Factor spaces theory and its applications to fuzzy information processing (I), Fuzzy Sets and Systems, 95(2), 1998, 145160. (SCI) [12] HongXing Li, V.C. Yen and E.S. Lee, Model of neurons based on factor space, Computers and Mathematics with Applications, 39, 2000, 91100. (SCI) [13] HongXing Li etc, Factor spaces theory and its applications to fuzzy information processing: Two kinds of factor space canes, Computers and Mathematics with Applications, 40, 2000, 825843. (SCI) [14] HongXing Li and V.C.Yen, The mathematical essence of fuzzy controls and fine fuzzy controllers, Advances in Machine Illigence and Soft Computing (ed. P.P. Wang),Ⅳ, Durham, Bookwrights Press, 1997, 5577. [15] HongXing Li etc, The operations of fuzzy cardinalities, Journal of Mathematical Analysis and Applications, 182, 1994,768778. (SCI) [16] HongXing Li etc, Factor space theory and fuzzy information processing: Fuzzy decision making based on the concepts of feedback extension, Computers and Mathematics with Applications, 40, 2000, 845864. (SCI) [17] HongXing Li, Chengzhong Luo and Peizhuang Wang, The cardinality of fuzzy sets and the continuum hypothesis, Fuzzy Sets and Systems, 55, 1993, 6177. (SCI) [18] HongXing Li, V.C. Yen and E.S. Lee, Factor space theory in fuzzy information processing: Composition of states of factors and multifactorial decision making, Computers and Mathematics with Applications, 39, 2000, 245265. (SCI) [19] HongXing Li, Multifactorial functions in fuzzy sets theory, Fuzzy Sets and Systems, 33(1), 1990, 6984. (SCI) [20] HongXing Li, Fuzzy clustering methods based on perturbation, Fuzzy Sets and Systems, 32(3), 1989, 291302. (SCI) [21] HongXing Li, Multifactorial fuzzy sets and multifactorial degree of nearness, Fuzzy Sets and Systems, 19(3), 1986, 291297. (SCI) [22] HongXing Li, Fuzzy perturbation analysis, part 2, Fuzzy Sets and Systems, 19(2), 1986, 165175. (SCI) [23] HongXing Li, Fuzzy perturbation analysis, part 1, Fuzzy Sets and Systems, 17(2), 1985, 184197. (SCI) [24] HongXing Li, Factor space canes, Fuzzy Logic and Soft Computing (ed. G.Q. Chen), Boston, Kluwer Academic Publishers, 1999, 169180. [25] PuYin Liu and HongXing Li, Approximation of generalized fuzzy systems to integrable functions, Science in China (Series E), 43(6), 2000, 613624. (SCI) [26] Qing He and HongXing Li, Extension principles and fuzzy set categories, Computers and Mathematics with Applications, 39, 2000, 4553. (SCI) [27] V.C. Yen and HongXing Li, Concept representation, factor space theory and information systems research, Systems Research and Behavioral Science, 17, 2000, 163172. (SCI) [28] PuYin Liu and HongXing Li, Equivalence of generalized TakagiSugeno fuzzy system and its hierarchical systems, Journal of Beijing Normal University (Natural Science), 36(5), 2000, 613618. [29] HongXing Li and Li D Xu, Feature space theorya mathematical foundation for data mining, KnowledgeBased Systems, 14, 2001, 253257. (SCI) [30] HongXing Li and Li D Xu, Feature space theorya mathematical foundation for data mining, KnowledgeBased Systems, 14, 2001, 253257. (SCI) [31] PuYin Liu and HongXing Li, Analyses for L_{p}(μ)norm approximation capability of generalized Mamdani fuzzy systems, Information Sciences, 138, 2001, 195210. (SCI) [32] PuYin Liu and HongXing Li, Approximation of generalized fuzzy systems to integrable functions, Science in China (Series E), 2000, 43(6)，613624. [33] HongXing Li, ZhiHong Miao, JiaYin Wang, Variable universe adaptive fuzzy control on the quadruple inverted pendulum, Science in China ( Series E), 2002, No.1. (SCI) [34] HongXing Li, ZhiHong Miao, JiaYin Wang, Variable universe stable adaptive fuzzy control of nonlinear system, Science in China (Series E), 2002, No.2. (SCI) [35] BingXue Yao and HongXing Li, The structure of fuzzy power group, The Journal Fuzzy Mathematics, 8(2), 2000, 461469. [36] HongXing Li, HX ring, BUSEFAL, 34, 1988, 38. [37] HongXing Li, HX group, BUSEFAL, 33, 1987, 3137. [38] HongXing Li and PeiZhuang Wang, Latticeization group, NAFIPS'86, 347354. [39] HongXing Li, Diagrammatic presentation of fuzzy sets, BUSEFAL, 26, 1986, 1216. [40] XiaoJun Tong, HongXing Li and YiZhen Nie, Toperators, pseudoarithmetic and Zadeh's operators, Fuzzy Systems and Mathematics, 15(3), 2001, 14. [41] XueHai Yuan, HongXing Li and E. Stanley Lee, Categories of fuzzy sets and weak topos, Fuzzy Sets and Systems, 127, 2002, 291297. (SCI) [42] BingXue Yao and HongXing Li, Weak HXring on a ring, Italian Journal of Pure and Applied Mathematics, No.10, 2001, 125131. [43] PuYin Liu and HongXing Li, Image restoration techniques based on fuzzy neural networks, Science in China (Series F), 2002, 45(4), 274285. (SCI) [44] HongXing Li, E.S. Lee, Interpolation functions of feedforward neural networks, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 46 (12), 2003, 18611874. (SCI) [45] HongXing Li, Y.D. Li, Z.H. Miao, et al., Control functions of fuzzy controllers, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 46 (56), 2003, 875890. (SCI) [46] Q. He, HongXing Li, Z.Z. Shi, et al., Fuzzy clustering method based on perturbation, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 46 (56), 2003, 929946. (SCI) [47] HongXing Li, J.Y. Wang, Z.H. Miao, A kind of linearization method in fuzzy control system modeling, LECTURE NOTES IN ARTIFICIAL INTELLIGENCE, 2639, 2003, 8998. (SCI) [48] HongXing Li, J.Y. Wang, Z.H. Miao, Marginal linearization method in modeling on fuzzy control systems, PROGRESS IN NATURAL SCIENCE, 13 (7), 2003, 489496. (SCI) [49] HongXing Li, L.D. Xu, J.Y. Wang, et al., Feature space theory in data mining: transformations between extensions and intensions in knowledge representation, EXPERT SYSTEMS, 20 (2), 2003, 6071. (SCI) [50] HongXing Li, E.S. Lee, Interpolation representations of fuzzy logic systems, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 45 (1011), 2003, 16831693. (SCI) [51] HongXing Li, L.X. Li, J.Y. Wang, Interpolation representation of feedforward neural networks, MATHEMATICAL AND COMPUTER MODELLING, 37 (78), 2003, 829847. (SCI) [52] Hongxing Li, L.X.Li, Jiayin Wang, et al., Fuzzy decision making based on variable weights, MATHEMATICAL AND COMPUTER MODELLING, 39 (23), 2004, 163179. (SCI) [53] Hongxing Li, Fei You, J.Y. Peng, Fuzzy controllers based on some fuzzy implication operators and their response functions, PROGRESS IN NATURAL SCIENCE, 14 (1), 2004, 1520. (SCI) [54] Li H.X., Wang J.Y., Feng Y.B., et al., Hardware implementation of the quadruple inverted pendulum with single motor, PROGRESS IN NATURAL SCIENCE, 14 (9), 2004, 822827. (SCI) [55] SongChol Han, HongXing Li, The semigroup of incline Hall matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 390, 2004, 183196. (SCI) [56] SongChol Han, HongXing Li, Invertible incline matrices and Cramer's rule over inclines, LINEAR ALGEBRA AND ITS APPLICATIONS, 389, 2004, 121138. (SCI) [57] SongChol Han, HongXing Li, YunDong Gu, Standard eigenvectors of incline matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 389, 2004, 235248. (SCI) [58] SongChol Han, HongXing Li, Indices and periods of incline matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 387, 2004, 143165. (SCI) [59] Puyin Liu, Hongxing Li, Efficient learning algorithms for threelayer regular feedforward fuzzy neural networks, IEEE TRANSACTIONS ON NEURAL NETWORKS, 15 (3), 2004, 545558. (SCI) Part 2. More than 80 papers published in numerous journals in Chinese.
