Abstract
The traditional fuzzy logic system (FLS) can only model and control the process in two-dimensional nature. Many of real-world systems are of multidimensional features, such as, thermal and fluid processes with spatiotemporal dynamics, biological systems, or decision-making processes that contain stochastic and imprecise uncertainties. These types of systems are difficult for the traditional FLS to model and control because they require a third dimension for spatial or probabilistic information. The type-2 fuzzy set provides the possibility to develop a three-dimensional fuzzy logic system for modeling and controlling these processes in three-dimensional nature.
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The work was partly supported by the National 973 Fundamental Research Program of China (No.2005CB724102, 2006CB705404).
Han-Xiong LI received the B.E. degree from National University of Defence Technology, China, the M.E. degree from Delft University of Technology, Delft, The Netherlands, and the Ph.D. degree from University of Auckland, Auckland, New Zealand. Currently, he is a full professor in the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong. His research experience and recent accomplishment include intelligent modeling and control of spatiotemporal dynamic system, a pioneering 3-domain fuzzy logic system for modeling and control. His current research interests include intelligent modeling and control, process design and control, and distributed parameter systems.
Dr. Li serves as an associate editor for the IEEE Transactions on Systems, Man, and Cybernetics, Part B, and the IEEE Transactions on Industrial Electronics. He was awarded the Distinguished Young Scholar (overseas) by the China National Science Foundation in 2004, and a “Chang Jiang Scholar” by the Ministry of Education, China in 2006.
Xiaogang DUAN received M.S. degree in Electrical Engineering from Central South University in 2005, and expects to get Ph.D. degree in Mechanical Engineering from Central South University in the beginning of 2010. He has been working as a research assistant in Department of Manufacturing Eng and Eng Management, City University of Hong Kong from 2008 to 2009. His research interests include fuzzy logic control, and industrial process control.
Zhi LIU was born in Hunan, China, in 1977. He received the B.S. degree in Electrical Engineering from Huazhong University of Science and Technology in 1997, the M.S. degree in Electrical Engineering from Hunan University in 2000 and the Ph.D. degree in Electrical Engineering from Tsinghua University in January 2004. He worked as a post-doctoral fellow in the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong from 2004 to 2005. Currently, he is a professor in the Department of Automation, Guangdong University of Technology. His research interests include the fuzzy logic system, neural networks, and robotics and robust control.
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Li, HX., Duan, X. & Liu, Z. Three-dimensional fuzzy logic system for process modeling and control. J. Control Theory Appl. 8, 280–285 (2010). https://doi.org/10.1007/s11768-010-0023-x
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DOI: https://doi.org/10.1007/s11768-010-0023-x