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Interval-valued Fuzzy Set Reasoning Using Fuzzy Petri Nets  

조경달 (이젠시스템)
조상엽 (청운대학교 인터넷컴퓨터학과)
Abstract
In general, the certainty factors of the fuzzy production rules and the certainty factors of fuzzy Propositions appearing in the rules are represented by real values between zero and one. If it can allow the certainty factors of the fuzzy production rules and the certainty factors of fuzzy propositions to be represented by interval-valued fuzzy sets, then it can allow the reasoning of rule-based systems to perform fuzzy reasoning in more flexible manner(15). This paper presents a fuzzy Petri nets and proposes an interval-valued fuzzy reasoning algorithm for rule-based systems based on fuzzy Petri nets. Fuzzy Petri nets model the fuzzy production rules in the knowledge base of a rule-based system, where the certainty factors of the fuzzy Propositions appearing in the furry production rules and the certainty factors of the rules are represented by interval-valued fuzzy sets. The proposed interval-valued fuzzy set reasoning algorithm can allow the rule-based systems to perform fuzzy reasoning in a more flexible manner.
Keywords
Fuzzy Petri Nets; Fuzzy Reasoning; Interval-valued Fuzzy Sets;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 전명근, 변중남, 'Fuzzy Petri Nets를 이용한 퍼지추론 시스템의 모델링 및 추론기관의 구현', 전자공학회논문지, 제29권, 제7호, pp.508-519, 1992. 7   과학기술학회마을
2 조상엽, 김기태, '퍼지 페트리네트를 이용한 퍼지 생성 규칙의 표현', 한국정보과학회논문지, 제21권, 제2호, pp.298-306, 1994, 2
3 Zadeh, L. A., 'Fuzzy Sets,' Information and Control 8, pp.338-353, 1965   DOI
4 Chen, Shyi-Ming, 'Weighted Fuzzy Reasoning using Weighted Fuzzy Petri Nets,' IEEE Trans. on Knowledge and Data Engineering, Vol. 2, No. 3, pp.386-397, 2002   DOI   ScienceOn
5 Sheng-Ke Yu, 'Comments on Knowledge Representation Using Fuzzy Petri Nets,' IEEE Trans. on KDE, vol. 7, No. 1, Feb., pp. 190-192, 1995   DOI
6 Murata, T., 'Petri Nets: Properties, Analysis and Applications,' Proceedings of the IEEE, Vol. 77, No. 4, April, pp.541-580, 1989   DOI   ScienceOn
7 Peterson, J. L., Petri Net Theory and the Modeling of Systems, Prentice-hall, 1981
8 Arnould, T., and Tano, S., 'Interval-valued Fuzzy Backward Reasoning,' IEEE Trans. Fuzzy Systems, Vol. 3, pp.425-437, 1995   DOI   ScienceOn
9 Chen, Shyi-Ming, Ke, J., and Chang, J., 'Knowledge Representation Using Fuzzy Petri-nets,' IEEE Trans. on KDE, Vol. 2, No. 3, Sep., pp.311-319, 1990   DOI   ScienceOn
10 Camargo, H., Gomide, F., 'Hierarchical Fuzzy Petri Nets and ${\alpha}$-level Sets Inference,' Int'l J. Intelligent Systems, Vol. 14, No. 8, pp.859-871, 1999   DOI   ScienceOn
11 Yeung, D. S., and Tsang, E. C. C., 'A Mulilevel Weighted Fuzzy Reasoning Algorithm for Expert Systems,' IEEE Trans. SMC-Part A: Systems and Humans, Vol. 28, No. 2, pp. 149-158, 1998   DOI   ScienceOn
12 Lodwick, W. A., and Jamison, K. D., 'Special Issue: Interface Between Fuzzy Set Theory and Interval Analysis,' Fuzzy Sets and Systems 135, pp.1-3, 2003   DOI   ScienceOn
13 Moore, R., and Lodwick, W. A., 'Interval Analysis and Fuzzy set theory,' Fuzzy Sets and Systems 135, pp.5-9, 2003   DOI   ScienceOn
14 Chen, Shyi-Ming, and Hsiao, Wen-Hoar, 'Bidirectional Approximate Reasoning For Rule-based Systems Using Interval-valued Fuzzy Sets,' Fuzzy Sets and Systems 113, pp.185-203, 2000   DOI   ScienceOn
15 Turksen, I. B., 'Interval-valued Fuzzy Sets Based on Normal Forms,' Fuzzy Sets and Systems 20, pp.191-210, 1986   DOI   ScienceOn
16 Chen, Shyi-Ming, Hsiao, Wen-Hoar, and Jong, Hoei-Tzy, 'Bidirectional Approximate Reasoning Based on Interval-valued Fuzzy Sets,' Fuzzy Sets and Systems 91, pp.339-353, 1997   DOI   ScienceOn
17 Gorzalczany, M. B., 'A Method of Inference in Approximate Reasoning Based in Interval-valued Fuzzy Sets,' Fuzzy Sets and Systems 21, pp.1-17, 1987   DOI   ScienceOn
18 Konar, A., and Mandel, A. K., 'Uncertainty Management in Expert Systems Using Fuzzy Petri Nets,' IEEE Trans. on KDE, Vol. 8, No. 1, pp.96-105, 1996   DOI   ScienceOn
19 Gorzalczany, M. B., 'An Interval-valued Fuzzy Inference Method - Some Basic Properties,' Fuzzy Sets and Systems 31, pp.243-251, 1989   DOI   ScienceOn
20 Garg, M. L., Ahson, S .I., and Guptae, D. V., 'A Fuzzy Petri-nets for Knowledge Representation and Reasoning,' Information Processing Letters, 39, pp.165-171, 1992   DOI   ScienceOn
21 Looney, G. C., 'Fuzzy Petri Nets for Rule-based Decision Making,' IEEE Trans. on SMC, Vol. 18, No. 1, Jan./Feb., 1988   DOI   ScienceOn
22 Manoj, T .V., Leena, J., and Soney, B. B., 'Knowledge Representation Using Fuzzy Petri Nets-Revisited,' IEEE Trans. on KDE, Vol. 10, No. 4, Jul./Aug., pp.666-667, 1998   DOI   ScienceOn