NAME:  Hong-Xing Li (H.X. Li, 李洪兴)
DATE OF BIRTH:  July 23, 1953
PLACE OF BIRTH:  Tianjin, People’s Republic of China
SEX:  Male
NATIONALITY:  China
EDUCATION:  Ph.D. in Applied Mathematics, Beijing Normal University, China (1993); B.S. in Mathematics, Nankai University, China (1978)
FOREIGN LANGUAGES:  English, Japanese
ADDRESS:  School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People’s Republic of China
TEL:  86-10-58808787 (O); 86-10-58809452 (H)
FAX:  86-10-58807482
Email:  lhxqx@bnu.edu.cn

 

PROFESSIONAL AFFILIATION:

l   Ph.D. Tutor, Applied Mathematics Specialty, School of Mathematical Sciences, Beijing Normal University, China (1996-present)

l   Professor, School of Mathematical Sciences, Beijing Normal University, China (1994-present)

l   Director, Research Center of Fuzzy Systems and Fuzzy Information, School of Mathematical Sciences, Beijing Normal University, China (2000-present)

l   Director, Laboratory of Complex Systems and Intelligent Control, School of Mathematical Sciences, Beijing Normal University, China (2001-present)

l   Associate Professor, Department of Mathematics, Beijing Normal University, China (1990-1994)

l   Associate Professor, Department of Mathematics, Tianjin Polytechnic University, China (1988-1990)

l   Lecturer, Department of Mathematics, Tianjin Polytechnic University, China (1978-1990)

l   Visiting Professor, Department of Computer Sciences & Engineering, and Department of Management Sciences & Information Systems, Wright State University, Dayton, OH 45435, USA (September, 1998--July, 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 (1998-present)

l   Managing Director, Fuzzy Mathematics and Systems Association of China (1987-present)

l   Vice Chairman, Fuzzy Technology Standardization Committee of China (1996-present)

l   Vice Chairman, Intelligent System Engineering Committee of Artificial Intelligence Association of China (2001-present)

l   Member, International Fuzzy Systems Association (1985-present)

l   Member, IEEE (2000-present)

EDITORIAL APPLICATION:

l     Managing Member of Editorial Board, “Fuzzy Systems and Mathematics” (Official Journal of Fuzzy Mathematics and Systems Association of China) (1987-present)

l    Member of Editorial Board, “Journal of Systems Engineering” (Official Journal of Systems Engineering Society of China) (1997-present)

l     Reviewer, “Zentralblatt fur Mathematik (Mathematics Abstracts), Germany” (1989-present)

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 “National-Rank 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: 1998-2000).

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: 2002-2004).

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: 2001-2002)

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: 2000-2002).

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: 1997-1999).

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; 1995-1997).

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: 1995-1996).

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: 1992-1994).

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: 1989-1991).

RESEARCH INTERESTS:

l   1982-1995; 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 decision-making, Theory of Feature Spaces, etc.

l   1995-present; Fuzzy logic systems, Fuzzy control theory, Neural networks, Fuzzy-neural systems, Neuro-fuzzy 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, P-controllers, PI-controllers, PD-controllers and PID-controllers 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 self-regulating and self-organization, and membership functions self-generating, 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 output-feedback 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]     Hong-Xing Li and Vincent C.Yen, Fuzzy Sets and Fuzzy Decision-Making, CRC Press, FL, USA, 1995.

[2]     Peizhuang Wang and Hong-Xing Li, Fuzzy Information Processing and Fuzzy Computers, Science Press, New York/Beijing, 1997.

[3]     Hong-Xing Li, P.C. Philip Chen and Han-Pang Huang, Fuzzy Neural Intelligent Systems, CRC Press, FL, USA, 2001.

[4]     Puyin Liu and Hong-Xing Li, Fuzzy Neural Network Theory and Application, World Scientific Press, Singapore, 2004.

Part 2.  In Chinese

[5]     Hong-Xing 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]     Hong-Xing Li and Pei-Zhuang Wang, Fuzzy Mathematics, National Defense Industry Press, Beijing, 1994.

[8]     Pei-Zhuang Wang and Hong-Xing Li, Mathematical Theory of Knowledge Representation, Tianjin Science and Technology Press, Tianjin, 1994.

[9]     Pei-Zhuang Wang and Hong-Xing Li, Fuzzy Systems Theory and Fuzzy Computers, Science Press, Beijing, 1996.

[10] Xiang-Hao Li, Hong-Xing Li, Shi-Quan Chen and Pei-Zhuang Wang, Fuzzy Clustering Analysis and Its Applications, Guizhou Science and Technology Press, Guizhou, 1997.

PUBLICATION OF PAPERS:

Part 1.  In English

[1]     Hong-Xing Li and C.L. Philip Chen, The equivalence between fuzzy logic systems and feedforward neural networks, IEEE Transactions on Neural Networks, 11(2), 2000, 356-365. (SCI)

[2]     Hong-Xing Li, Interpolation mechanism of fuzzy control, Science in China (Series E), 41(3), 1998, 312-320. (SCI)

[3]     Hong-Xing Li, The relationship between fuzzy controllers and PID controllers, Science in China (Series E), 42(2), 1999, 215-224. (SCI)

[4]     Hong-Xing Li, Adaptive fuzzy controllers based on variable universe, Science in China (Series E), 42(1), 1999, 10-20. (SCI)

[5]     Hong-Xing Li, Output-back fuzzy logic systems and equivalence with feedback neural networks, Chinese Science Bulletin, 45(7), 2000, 592-596. (SCI)

[6]     Hong-Xing Li, Zhi-Hong Miao, Jia-Yin Wang, Variable universe adaptive fuzzy control on the quadruple inverted pendulum, Science in China (Series E), 2002, 45(2), 213-224. (SCI)

[7]     Hong-Xing Li, Zhi-Hong Miao, Jia-Yin Wang, Variable universe stable adaptive fuzzy control of nonlinear system, Science in China (Series E), 2002, 45(3), 225-240. (SCI)

[8]     Hong-Xing Li, Jia-Yin Wang, Zhi-Hong Miao, Modeling on fuzzy control systems, Science in China (Series A), 2002, 45(12), 1506-1517. (SCI)

[9]     Hong-Xing Li and Li-Da Xu, A neural network representation of linear programming, European Journal of Operational Research, 124(2), 2000, 224-234. (SCI)

[10] Hong-Xing Li and L.X. Li, Representing diverse mathematical problems using neural networks in hybrid intelligent systems, Expert Systems, 16(4), 1999, 262-272. (SCI)

[11] Hong-Xing Li, Factor spaces theory and its applications to fuzzy information processing (I), Fuzzy Sets and Systems, 95(2), 1998, 145-160. (SCI)

[12] Hong-Xing Li, V.C. Yen and E.S. Lee, Model of neurons based on factor space, Computers and Mathematics with Applications, 39, 2000, 91-100. (SCI)

[13] Hong-Xing 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, 825-843. (SCI)

[14] Hong-Xing 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),, Durham, Bookwrights Press, 1997, 55-77.

[15] Hong-Xing Li etc, The operations of fuzzy cardinalities, Journal of Mathematical Analysis and Applications, 182, 1994,768-778. (SCI)

[16] Hong-Xing 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, 845-864. (SCI)

[17] Hong-Xing Li, Chengzhong Luo and Peizhuang Wang, The cardinality of fuzzy sets and the continuum hypothesis, Fuzzy Sets and Systems, 55, 1993, 61-77. (SCI)

[18] Hong-Xing 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, 245-265. (SCI)

[19] Hong-Xing Li, Multifactorial functions in fuzzy sets theory, Fuzzy Sets and Systems, 33(1), 1990, 69-84. (SCI)

[20] Hong-Xing Li, Fuzzy clustering methods based on perturbation, Fuzzy Sets and Systems, 32(3), 1989, 291-302. (SCI)

[21] Hong-Xing Li, Multifactorial fuzzy sets and multifactorial degree of nearness, Fuzzy Sets and Systems, 19(3), 1986, 291-297. (SCI)

[22] Hong-Xing Li, Fuzzy perturbation analysis, part 2, Fuzzy Sets and Systems, 19(2), 1986, 165-175. (SCI)

[23] Hong-Xing Li, Fuzzy perturbation analysis, part 1, Fuzzy Sets and Systems, 17(2), 1985, 184-197. (SCI)

[24] Hong-Xing Li, Factor space canes, Fuzzy Logic and Soft Computing (ed. G.Q. Chen), Boston, Kluwer Academic Publishers, 1999, 169-180.

[25] Pu-Yin Liu and Hong-Xing Li, Approximation of generalized fuzzy systems to integrable functions, Science in China (Series E), 43(6), 2000, 613-624. (SCI)

[26] Qing He and Hong-Xing Li, Extension principles and fuzzy set categories, Computers and Mathematics with Applications, 39, 2000, 45-53. (SCI)

[27] V.C. Yen and Hong-Xing Li, Concept representation, factor space theory and information systems research, Systems Research and Behavioral Science, 17, 2000, 163-172. (SCI)

[28] Pu-Yin Liu and Hong-Xing Li, Equivalence of generalized Takagi-Sugeno fuzzy system and its hierarchical systems, Journal of Beijing Normal University (Natural Science), 36(5), 2000, 613-618.

[29] Hong-Xing Li and Li D Xu, Feature space theory-a mathematical foundation for data mining, Knowledge-Based Systems, 14, 2001, 253-257. (SCI)

[30] Hong-Xing Li and Li D Xu, Feature space theory-a mathematical foundation for data mining, Knowledge-Based Systems, 14, 2001, 253-257. (SCI)

[31] Pu-Yin Liu and Hong-Xing Li, Analyses for Lp(μ)-norm approximation capability of generalized Mamdani fuzzy systems, Information Sciences, 138, 2001, 195-210. (SCI)

[32] Pu-Yin Liu and Hong-Xing Li, Approximation of generalized fuzzy systems to integrable functions, Science in China (Series E), 2000, 43(6)613-624.

[33] Hong-Xing Li, Zhi-Hong Miao, Jia-Yin Wang, Variable universe adaptive fuzzy control on the quadruple inverted pendulum, Science in China ( Series E), 2002, No.1. (SCI)

[34] Hong-Xing Li, Zhi-Hong Miao, Jia-Yin Wang, Variable universe stable adaptive fuzzy control of nonlinear system, Science in China (Series E), 2002, No.2. (SCI)

[35] Bing-Xue Yao and Hong-Xing Li, The structure of fuzzy power group, The Journal  Fuzzy Mathematics, 8(2), 2000, 461-469.

[36] Hong-Xing Li, HX ring, BUSEFAL, 34, 1988, 3-8.

[37] Hong-Xing Li, HX group, BUSEFAL, 33, 1987, 31-37.

[38] Hong-Xing Li and Pei-Zhuang Wang, Latticeization group, NAFIPS'86, 347-354.

[39] Hong-Xing Li, Diagrammatic presentation of fuzzy sets, BUSEFAL, 26, 1986, 12-16.

[40] Xiao-Jun Tong, Hong-Xing Li and Yi-Zhen Nie, T-operators, pseudo-arithmetic and Zadeh's operators, Fuzzy Systems and Mathematics, 15(3), 2001, 1-4.

[41] Xue-Hai Yuan, Hong-Xing Li and E. Stanley Lee, Categories of fuzzy sets and weak topos, Fuzzy Sets and Systems, 127, 2002, 291-297. (SCI)

[42] Bing-Xue Yao and Hong-Xing Li, Weak HX-ring on a ring, Italian Journal of Pure and Applied Mathematics, No.10, 2001, 125-131.

[43] Pu-Yin Liu and Hong-Xing Li, Image restoration techniques based on fuzzy neural networks, Science in China (Series F), 2002, 45(4), 274-285. (SCI)

[44] Hong-Xing Li, E.S. Lee, Interpolation functions of feedforward neural networks, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 46 (12), 2003, 1861-1874. (SCI)

[45] Hong-Xing Li, Y.D. Li, Z.H. Miao, et al., Control functions of fuzzy controllers, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 46 (5-6), 2003, 875-890. (SCI)

[46] Q. He, Hong-Xing Li, Z.Z. Shi, et al., Fuzzy clustering method based on perturbation, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 46 (5-6), 2003, 929-946. (SCI)

[47] Hong-Xing Li, J.Y. Wang, Z.H. Miao, A kind of linearization method in fuzzy control system modeling, LECTURE NOTES IN ARTIFICIAL INTELLIGENCE, 2639, 2003, 89-98. (SCI)

[48] Hong-Xing Li, J.Y. Wang, Z.H. Miao, Marginal linearization method in modeling on fuzzy control systems, PROGRESS IN NATURAL SCIENCE, 13 (7), 2003, 489-496. (SCI)

[49] Hong-Xing 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, 60-71. (SCI)

[50] Hong-Xing Li, E.S. Lee, Interpolation representations of fuzzy logic systems, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 45 (10-11), 2003, 1683-1693. (SCI)

[51] Hong-Xing Li, L.X. Li, J.Y. Wang, Interpolation representation of feedforward neural networks, MATHEMATICAL AND COMPUTER MODELLING, 37 (7-8), 2003, 829-847. (SCI)

[52] Hongxing Li, L.X.Li, Jiayin Wang, et al., Fuzzy decision making based on variable weights, MATHEMATICAL AND COMPUTER MODELLING, 39 (2-3), 2004, 163-179. (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, 15-20. (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, 822-827. (SCI)

[55] Song-Chol Han, Hong-Xing Li, The semigroup of incline Hall matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 390, 2004, 183-196. (SCI)

[56] Song-Chol Han, Hong-Xing Li, Invertible incline matrices and Cramer's rule over inclines, LINEAR ALGEBRA AND ITS APPLICATIONS, 389, 2004, 121-138. (SCI)

[57] Song-Chol Han, Hong-Xing Li, Yun-Dong Gu, Standard eigenvectors of incline matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 389, 2004, 235-248. (SCI)

[58] Song-Chol Han, Hong-Xing Li, Indices and periods of incline matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 387, 2004, 143-165. (SCI)

[59] Puyin Liu, Hongxing Li, Efficient learning algorithms for three-layer regular feedforward fuzzy neural networks, IEEE TRANSACTIONS ON NEURAL NETWORKS, 15 (3), 2004, 545-558. (SCI)

Part 2.  More than 80 papers published in numerous journals in Chinese.