Research on two different mathematical theories on control

With a brand-new theory, this paper not only provides the differences of attributes in concept, formula expression and function type between fuzzy rough sets and probability statistics, but also introduces their differences in algorithms on target control for better solving the control problem. Some...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2008-12, Vol.222 (2), p.675-689
Main Authors: Wu, Qing-E, Wang, Tuo, Pang, Xue-Min, Huang, Yong-Xuan, Li, Ji-Sheng
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Decision control
Decision degree
Decision rule
Exact sciences and technology
Fuzzy rough sets
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Probability statistics
Sciences and techniques of general use
Target tracking
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Summary:With a brand-new theory, this paper not only provides the differences of attributes in concept, formula expression and function type between fuzzy rough sets and probability statistics, but also introduces their differences in algorithms on target control for better solving the control problem. Some new definitions and theorems concerning fuzzy rough sets and probability statistics are given, but this paper mainly makes a comparison of two control algorithms for the target tracking. The simulation results show that the comprehensive performance of the fuzzy rough sets algorithm is better than that of the probability statistics algorithm, but its control effect is not as good as that of the latter on multisensor target control. Finally, some problems concerning the combination of fuzzy rough sets and the probability statistics phenomenon to be solved and development trends are discussed. By these investigations, we can choose the optimal control algorithms for accomplishing better target control.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2007.12.014