Fuzzy System Reliability Analysis Based on Confidence Interval

Article Preview

Abstract:

This paper proposes a new method for analyzing the fuzzy system reliability of a parallel-series and series-parallel systems using fuzzy confidence interval, where the reliability of each component of each system is unknown. To compute system reliability, we are estimated reliability of each component of the systems using fuzzy statistical data with both tools appropriate for modeling fuzzy data and suitable statistical methodology to handle these data. Numerical examples are given to compute fuzzy reliability and its cut set and the calculating was performed by using programming in software R.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 433-440)

Pages:

4908-4914

Citation:

Online since:

January 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] T. Onisawa, and J. Kacprzyk, (Eds. ), Reliability and Safety Analyses Under Fuzziness, Heidelberg: Physica-Verlag (1995).

DOI: 10.1007/978-3-7908-1898-7

Google Scholar

[2] D. Singer, A Fuzzy Set Approach to Fault Tree and Reliability Analysis, Fuzzy Sets and Systems, Vol. 34 (1990), pp.145-155.

DOI: 10.1016/0165-0114(90)90154-x

Google Scholar

[3] C.H. Cheng and D.L. Mon, Fuzzy System Reliability Analysis by Interval of Confidence, Fuzzy Sets and Systems, Vol. 56 (1993), pp.29-35.

DOI: 10.1016/0165-0114(93)90182-h

Google Scholar

[4] S. M. Chen, Fuzzy System Reliability Analysis Using Fuzzy Number Arithmetic Operations, Fuzzy Sets and Systems, Vol. 64 (1994), pp.31-38.

DOI: 10.1016/0165-0114(94)90004-3

Google Scholar

[5] D.L. Mon and C.H. Cheng, Fuzzy System Reliability Analysis for Components with Different Membership Functions, Fuzzy Sets and Systems, Vol. 64, (1994), pp.145-157.

DOI: 10.1016/0165-0114(94)90330-1

Google Scholar

[6] S.M. Chen, Analyzing Fuzzy System Reliability Using Vague Set Theory, International Journal of Applied Science and Engineering, Vol. 1, No. 1 (2003), pp.82-88.

Google Scholar

[7] A. Kumar, S. Prasad Yadav and S. Kumar, Fuzzy System Reliability Using Different Types of Vague Sets, International Journal of Applied Science and Engineering, Vol. 6, No. 1(2008), pp.71-83.

Google Scholar

[8] A. Kumar, S. Prasad Yadav and S. Kumar, Fuzzy Reliability of a Marine Power Plant Using Interval Valued Vague Sets, International Journal of Applied Science and Engineering, Vol. 4, No. 1(2006), pp.71-82.

Google Scholar

[9] G.S. Mahapatra and T.K. Roy, Reliability Evaluation Using Triangular Intuitionistic Fuzzy Numbers Arithmetic Operations, World Academy of Science, Engineering and Technology, Vol. 50 (2009).

Google Scholar

[10] J.S. YAO, J.S. SU and T.S. SHIH, Fuzzy System Reliability Analysis Using Triangular Fuzzy Numbers Based on Statistical Data, Journal of information science and engineering, Vol. 24 (2008), pp.1521-1535.

Google Scholar

[11] E. Baloui Jamkhaneh, A. Nozari and A. Nade Ghara, Analyzing Fuzzy System Reliability Using Confidence Interval, World Applied Sciences Journal, (to appear).

Google Scholar

[12] R. Kruse, and K.D. Meyer, Confidence Intervals for the Parameter of a Linguistic Random Variable, in: J. Kasprzyk, M. Fedriz(Eds. ), Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making, Springer, Berlin, 1988, pp.113-123.

DOI: 10.1007/978-3-642-46644-1_8

Google Scholar