This Article 
 Bibliographic References 
 Add to: 
Fault Tree Based Diagnostics Using Fuzzy Logic
November 1990 (vol. 12 no. 11)
pp. 1115-1119

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.

[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.

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
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, doi:10.1109/34.61713
Usage of this product signifies your acceptance of the Terms of Use.