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Generalized reasoning about faults based on the diagnostic matrix

Bartyś M.

International Journal of Applied Mathematics and Computer Science

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2013

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Vol. 23, no. 2

407--417

EN

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.

2

Uogólniona metoda wnioskowania o uszkodzeniach na podstawie binarnej macierzy diagnostycznej

Bartyś M.

Pomiary Automatyka Kontrola

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2011

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R. 57, nr 7

779-783

PL

W artykule wprowadzono i zdefiniowano pojęcia sygnatur alternatywnych i dominujących. Wprowadzenie tych pojęć pozwoliło na sformalizowanie i uogólnienie schematu wnioskowania o uszkodzeniach obejmującego zarówno podejścia bazujące na binarnej macierzy diagnostycznej jak i podejścia bazujące na podstawie dwuwartościowego systemu informacyjnego FIS. Przedstawiono przykład ilustrujący uogólniony schemat wnioskowania. W podsumowaniu przedstawiono kierunki dalszych prac.

EN

A brief survey of diagnostic fault isolation methods based on a binary diagnostic matrix and bi-valued FIS [3] information system is presented in the introductory part (Section 1) of the paper. It is shown on an example of carcinoma renis disease (Tab.2), that the classic reasoning scheme about single faults based on a binary diagnostic matrix is insufficient and should be revised. It is also shown that the problems of proper reasoning remain unsolved even if the Fault Information System - FIS will be applied. In both cases, there is possible to reject true diagnosis as well as generate a false one. To solve the problem, there were introduced and defined the so called: alternative (10) and dominant signatures (11). Introduction of these signatures enables formal generalisation and extension of the inference scheme about faults (16) including approaches based on a binary diagnostic matrix as well as bi-valued FIS. The advantages of introducing the dominant signatures are described in Section 5. Also, some hints for implementation of the general reasoning scheme are formulated in Section 5. The proposed general reasoning method is useful for applications to system with embedded diagnostics, particularly to those making use of on-line serial and parallel diagnostics [6]. The future works are outlined in the summary (Section 6), including generalization of the inference scheme based on multi-valued FIS and fuzzy evaluation of diagnostic signals.

3

Wykorzystanie wiedzy eksperckiej do tworzenia binarnej macierzy diagnostycznej w zadaniu detekcji uszkodzeń suszarki granulatu

Osiak I.

Wiadomości Elektrotechniczne

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2009

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R. 77, nr 1

29-34

PL

Przedstawiono przykład wykorzystania wiedzy eksperckiej do tworzenia binarnej macierzy diagnostycznej dla wybranego urządzenia.

EN

The paper presents an example of utilization of expert knowledge in generating of binary diagnostic matrix for selected equipment.