Generalized reasoning about faults based on the diagnostic matrix

Michał Bartyś

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 2, page 407-417
  • ISSN: 1641-876X

Abstract

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This paper introduces a set of comprehensive general reasoning rules about single faults based on a diagnostic matrix. The reasoning scheme unifies inference about faults based on a conventional binary diagnostic matrix, a two- and three-valued fault isolation system as well as on their fuzzy counterparts. There are introduced and defined notions of alternative and dominant fault signatures, fuzzy fault signatures as well as a matrix of alternative signatures. This matrix is supposed to be used instead of the classic diagnostic one. It is also shown that dominant fault signatures are transformable into alternative ones. Finally, three variants of concise general reasoning rules of faults are given. Three examples illustrate key point issues of the paper. The first example refers to a medical diagnostic case. It shows an instance of dominant fault signatures and, in fact, proposes a rational approach for planning diagnostic tests. The other examples describe the fuzzy reasoning approach employing a matrix of fuzzy alternative signatures applicable for use with multi-valued fuzzy diagnostic signals. Future works are outlined in the summary section.

How to cite

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Michał Bartyś. "Generalized reasoning about faults based on the diagnostic matrix." International Journal of Applied Mathematics and Computer Science 23.2 (2013): 407-417. <http://eudml.org/doc/256639>.

@article{MichałBartyś2013,
abstract = {This paper introduces a set of comprehensive general reasoning rules about single faults based on a diagnostic matrix. The reasoning scheme unifies inference about faults based on a conventional binary diagnostic matrix, a two- and three-valued fault isolation system as well as on their fuzzy counterparts. There are introduced and defined notions of alternative and dominant fault signatures, fuzzy fault signatures as well as a matrix of alternative signatures. This matrix is supposed to be used instead of the classic diagnostic one. It is also shown that dominant fault signatures are transformable into alternative ones. Finally, three variants of concise general reasoning rules of faults are given. Three examples illustrate key point issues of the paper. The first example refers to a medical diagnostic case. It shows an instance of dominant fault signatures and, in fact, proposes a rational approach for planning diagnostic tests. The other examples describe the fuzzy reasoning approach employing a matrix of fuzzy alternative signatures applicable for use with multi-valued fuzzy diagnostic signals. Future works are outlined in the summary section.},
author = {Michał Bartyś},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fault isolation; binary diagnostic matrix; fault information system; alternative fault signature; dominant fault signature; matrix of alternative fault signatures; fuzzy diagnosis},
language = {eng},
number = {2},
pages = {407-417},
title = {Generalized reasoning about faults based on the diagnostic matrix},
url = {http://eudml.org/doc/256639},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Michał Bartyś
TI - Generalized reasoning about faults based on the diagnostic matrix
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 2
SP - 407
EP - 417
AB - This paper introduces a set of comprehensive general reasoning rules about single faults based on a diagnostic matrix. The reasoning scheme unifies inference about faults based on a conventional binary diagnostic matrix, a two- and three-valued fault isolation system as well as on their fuzzy counterparts. There are introduced and defined notions of alternative and dominant fault signatures, fuzzy fault signatures as well as a matrix of alternative signatures. This matrix is supposed to be used instead of the classic diagnostic one. It is also shown that dominant fault signatures are transformable into alternative ones. Finally, three variants of concise general reasoning rules of faults are given. Three examples illustrate key point issues of the paper. The first example refers to a medical diagnostic case. It shows an instance of dominant fault signatures and, in fact, proposes a rational approach for planning diagnostic tests. The other examples describe the fuzzy reasoning approach employing a matrix of fuzzy alternative signatures applicable for use with multi-valued fuzzy diagnostic signals. Future works are outlined in the summary section.
LA - eng
KW - fault isolation; binary diagnostic matrix; fault information system; alternative fault signature; dominant fault signature; matrix of alternative fault signatures; fuzzy diagnosis
UR - http://eudml.org/doc/256639
ER -

References

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  11. Kościelny, J.M. and Bartyś, M. (2000). Application of information system theory for actuator diagnosis, IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Budapest, Hungary, Vol. 2, pp. 949-954. 
  12. Kościelny, J.M. and Bartyś, M. (2003). Fuzzy logic application for diagnostic reasoning, 5th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes SAFEPROCESS 2003, Washington, DC, USA, pp. 633-638. 
  13. Kościelny, J.M., Sędziak, D. and Zakroczymski, Z. (1999). Fuzzy-logic fault isolation in large-scale systems, International Journal of Applied Mathematics and Computer Science 9(3): 637-652. Zbl0945.93509
  14. Kościelny, J.M. and Syfert, M. (2006). Fuzzy diagnostic reasoning that takes into account the uncertainty of the faults-symptom relation, International Journal of Applied Mathematics and Computer Science 16(3): 27-35. Zbl1334.93104
  15. Patton, R., Frank, P. and Clark, R. (1989). Fault Diagnosis in Dynamic Systems. Theory and Applications, Prentice Hall, Engelwood Cliffs, NJ. 
  16. Patton, R., Frank, P. and Clark, R. (Eds.) (2000). Issues of Fault Diagnosis for Dynamic Systems, Springer-Verlag, Berlin/Heildelberg/New York, NY. 
  17. Syfert, M. (2006). The issue of diagnostic relation uncertainty and fault conditional isolability, Proceedings of 6th IFAC Symposium, SAFEPROCESS 2006, Beijing, China, Vol. 1, pp. 747-752. 
  18. Venkatasubramanian, V., Rengaswamy, R. and Kavuri, S.N. (2003). A review of process fault detection and diagnosis, Part II: Quantitative model based methods, Computers and Chemical Engineering 27(3): 293-311. 

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