Advanced Search
CS Search Google Search
Subscribers, please login

Published Articles >> Table of Contents >> Abstract

Publication Home Page
November 1990 (Vol. 12, No. 11)   pp. 1115-1119
Fault Tree Based Diagnostics Using Fuzzy Logic

Full Article Text: Download PDF of full textBuy this articleGet full text from IEEE Xplore

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/34.61713
Send link to a friend

Abstract
Fuzzy set theory is investigated as a tool for the diagnostics of systems described by means of a fault tree. The objective is to diagnose component failures from the observation of fuzzy symptoms using the information contained in a fault tree. A two-step procedure is used to solve the problem. In this first step, causal reasoning is used to diagnose failure modes, consisting of minimal cut-sets of basic events, from the observation of triggered gates treated as symptoms. In the second step, the authors identify the particular components which have failed based on the diagnosed failure modes. To perform this second step, the solution of a fuzzy relational equation a= V-product (S/sup T/ alpha x) connecting failure mode a to basic events x is derived. With this method, the diagnostics equations can be symmetrically generated and solved in terms of the tree's basic events. The systematic nature with which a diagnosis can be generated from a fault tree lends this method to potential application of object-based programming techniques.
References
[1] N. J. McCormick,Reliability and Risk Analysis. New York: Academic, 1981.
[2] Reactor Safety Study, U.S. Nuclear Regulatory Commission, WASH- 1400, 1975.
[3] L. A. Zadeh, "Fuzzy sets,"Inform. Contr., vol. 8, p. 338, 1965.
[4] D. Dubois and H. Prade,Fuzzy Sets and Systems: Theory and Applications. New York: Academic, 1980.
[5] H. J. Zimmermann,Fuzzy Set Theory and Its Applications. Dordrecht, The Netherlands: Nijhoff, 1987.
[6] E. Sanchez, "Resolution of composite fuzzy relation equations,"Inform. Contr., vol. 30, p. 38, 1976.
[7] E. Sanchez, "Solutions in composite fuzzy relation equations: Application to medical diagnosis in Brouwerian logic," inFuzzy Automata and Decision Processes, M. M. Gupta, Ed. Amsterdam, The Netherlands: North-Holland, 1977.
[8] C. P. Pappis and M. Sugeno, "Fuzzy relational equations and the inverse problem,"Fuzzy Sets Syst., vol. 15, p. 79, 1985.
[9] A. M. Kolaczkowski, W. R. Cramond, T. T. Sype, K. J. Maloney, T. A. Wheeler, and S. L. Daniel,Analysis of Core Damage Frequency: Peach Bottom, Unit 2 Internal Events Appendices, Sandia National Laboratories, NUREG/CR-4550, SAND86-2084, Vol. 4, Rev. 1, Part 2, 1989.
Additional Information
Index Terms- fault tree based diagnostics; fuzzy logic; component failures; fuzzy symptoms; two-step procedure; causal reasoning; failure modes; minimal cut-sets; triggered gates; failure analysis; fuzzy logic

Citation:  P. Gmytrasiewicz, J.A. Hassberger, J.C. Lee, "Fault Tree Based Diagnostics Using Fuzzy Logic," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 12,  no. 11,  pp. 1115-1119,  Nov.,  1990

RSS Feed

Similar Articles

Abstract Contents
Abstract
References
Index Terms
Citation




Free access to

  • Abstracts
  • Selected PDFs

Electronic subscribers login to:

  • Access HTML/PDFs of full text articles

Subscription information

Get a Web account

PDFs require Adobe Acrobat Reader.

Peer Review Notice

Give us Feedback