Studies on median value of fuzzy numbers based on confidence level

Proceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC

Volumn 1, Issue , 2008, Pages 588-593

  Zhi Jun, Zhang ^a   Zhan Jing, Wang ^b   Bai Hong, Zhang ^a  

^a RESEARCH INSTITUTE OF CHEMICAL DEFENSE   (China)

^b HEBEI UNIVERSITY OF ECONOMICS AND BUSINESS   (China)

Author keywords

Confidence level; Fault tree; Fuzzy number; Median value

Indexed keywords

CONTROL THEORY; CYBERNETICS; FAILURE ANALYSIS; FAULT TREE ANALYSIS; FUZZY RULES; FUZZY SETS; LEARNING SYSTEMS; RELIABILITY; ROBOT LEARNING;

CONFIDENCE LEVEL; FAULT TREE; FUZZY INFORMATIONS; FUZZY NUMBER; MEDIAN VALUE; TRIANGULAR FUZZY NUMBERS;

QUALITY ASSURANCE;

EID: 57849110850     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICMLC.2008.4620473     Document Type: Conference Paper

References (14)

1. S S Chang, L A Zadeh. On Fuzzy Mapping and Control. IEEE. Trans. Systems Man Cybernetics, Vol 2, No. 1, pp. 30-34, 1972.
2. K Asai. Introduction to Fuzzy Management Science, Ohm-sha, pp. 69, 1992.
3. Y Mrtsuo. The Median for a L-R Fuzzy Number. Microelectron Reliab, Vol. 35, No. 2, pp. 269-271, 1995.
4. B Slavka. Median Value and Median Interval of a Fuzzy Number. Information Sciences, Vol 172, pp. 73-89, 2005.
5. R Goetschel, W Voxman. Topological Properties of Fuzzy Number. Fuzzy Sets and Systems, Vol 10, pp. 87-99, 1983.
6. Min Liu, Fachao Li, Cheng Wu. Fuzzy metric based on the distance function of plane and its application in optimal scheduling problems. Science in China (Series F), Vol 46, No. 3, pp. 210-224, 2003.
7. T Liou, M J Wang. Ranking Fuzzy Numbers with Integral Value. Fuzzy Sets and Systems, Vol 50, pp. 247-255, 1992.
8. Min Liu, Fachao Li, Cheng Wu. The Order Structure of Fuzzy Numbers based on the Level Characteristic and Its Application to Optimization Problems. Science In China(Series F), Vol 45, No. 6, pp. 433-441, 2002.
9. H B Mitchell, P A Schaefer. On Ordering Fuzzy Numbers. International Journal of Intelligent Systems, Vol 15, pp. 981-993, 2000.
10. Fachao Li, Zhijun Zhang. Membership-Balanced Principle and Its Application on Fuzzy Linear Programming. The Fifth International Conference on Machine Learning and Cybernetics, Vol 3, pp. 1652-1657, 2006.
11. Ruixiang Huang. Reliability Engineering. Beijing: Tsinghua University Press, 1990.
12. H Tanka. Fault-Tree Analysis by Fuzzy Probability. IEEE Transactions on reliability, Vol 5, pp. 32, 1983.
13. Tingjie Li. Fuzzy Probability Significance in Fault Tree Analysis. Systems Engineering Theory and Practice, 1990(1).
14. Qing Li, Tingjin Li. The Study on the Methods of Fuzzy Signficance Analysis. Fuzzy Systems and Mathmatics, 2000, Vol. 14 (1), 89-93.