Browse > Article

The Optimal Partition of Initial Input Space for Fuzzy Neural System : Measure of Fuzziness  

Baek, Deok-Soo (Iksan National College Dept. of Electronics & Information)
Park, In-Kue (Divition of Computer Engineering, Joongbu Univ.)
Publication Information
Abstract
In this paper we describe the method which optimizes the partition of the input space by means of measure of fuzziness for fuzzy neural network. It covers its generation of fuzzy rules for input sub space. It verifies the performance of the system depended on the various time interval of the input. This method divides the input space into several fuzzy regions and assigns a degree of each of the generated rules for the partitioned subspaces from the given data using the Shannon function and fuzzy entropy function generating the optimal knowledge base without the irrelevant rules. In this scheme the basic idea of the fuzzy neural network is to realize the fuzzy rule base and the process of reasoning by neural network and to make the corresponding parameters of the fuzzy control rules be adapted by the steepest descent algorithm. According to the input interval the proposed inference procedure proves that the fast convergence of root mean square error (RMSE) owes to the optimal partition of the input space
Keywords
Citations & Related Records
연도 인용수 순위
  • Reference
1 T. Takagi and M. Sugeno, 'Fuzzy identification of systems and its applications to modeling and control', IEEE Trans. Syst. Man, Cybern., vol. 15, pp. 116-132, 1985
2 M. Mizumoto and M. Iwakiri, 'Self-generation of fuzzy rules by fuzzy singleton-type reasoning method', Proc. of the 9th Fuzzy System symposium, Sapporo, 585-588, 1993
3 M. Sugeno and G. T. Kng, 'Structure identification of fuzzy model', Fuzzy sets and systems, vol. 28, pp. 15-23, 1988
4 H. Ichihashi, 'Iterative fuzzy modeling and a hierarchical network', Proc. of the 4th IFSA Congress, vol. Eng., Brussels, 49-52, 1991
5 W. Pedrycz, 'Fuzzy Control and Fuzzy Systems', New York : Wiley, 1989
6 Chin-Teng Lin and C. S. George Lee, 'Neural Fuzzy Systems', Prentice-Hall, 1996
7 D. Araki, H. Nomura, I. Hayashi and N. Wakami, 'A self generating method of fuzzy inference rules', Fuzzy engineering toward human friendly systems, pp. 1047-1058, eds. T. Terano et al., 1991
8 박인규, 황상문, 진달복, '영상복원을 위한 유전자 기반 시스템 모델링 : 러프-퍼지 엔트로피', 한국 감성과학회, 제1권 제2호, pp. 93-103, 1998
9 Li-Xin Wang and Jerry M. Mendal, 'Generating fuzzy rules by learning from examples', IEEE Trans. SMC, vol. 22, no. 6, pp. 1414-1427, 1992
10 Yan Shi, M. Mizumoto and Peng Shi, 'Tuning fuzzy rules based on fuzzy clustering and neuro-fuzzy Methods', Proc. of the 1991 IEEE Int. Symposium on Intelligent Control, arlington on, Virgina, U.S.A.
11 S. K. Pal, 'A measure of edge ambiguity using fuzzy sets', Pattern Recognition Letters 4, pp. 51-65, North-Holland, 1986
12 박인규, 진달복, '확장된 퍼지 엔트로피를 이용한 영상 분할 알고리즘', 한국통신학회, 제21권, 제6호, 1995
13 H. Nomura, I. Hayashi and N. Wakami, 'A learning method of fuzzy inference rules by descent method', IEEE Int. Conf. on Fuzzy Systems(San Diego, 1992) 203, 210
14 Y. Shi, M. Mizumoto, N. Yubazaki and M. Otani, 'An improvement of fuzzy rules generation based on fuzzy clustering method', Proc. of the 6th Intelligent Systems symposium, Osaka, 215-218, 1996
15 Jyh-Shing Roger Jang, 'ANFIS: Adaptive-Network-based Fuzzy Inference System', IEEE Trans. on SMC vol. 23, no. 3, May/June, pp.665-684, 1993