Abstract
In structural engineering critical is the combination of multiple and uncertain sources of knowledge. Commonly, these sources are any set of data, expert opinions, physical models or outcomes from instruments or techniques monitoring a particular event. Whilst the structure of the composition problem can differ from one case to another, we argue that a general pattern is preserved. Thus, the investigation and characterization of this pattern can help to highlight the nature of the dependencies between the different sources. The paper aims at presenting a rigorous and general approach to managing the imperfection of data. The proposed analysis is performed in the frame of the theory of fuzzy uncertainty measures. In fact, the expressiveness of these measures makes them suitable to represent a wide range of situations. In the paper we present two examples of application of the above analysis to real problems. The perspective of the analysis towards a knowledge engineering approach is emphasized.
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References
ASME Code, Section XI, 1974.
Bonissone, P., Decker, K. S. (1986). ‘Selecting uncertainty calculi and granularity: an experiment in trading-off precision and complexity’. In Kanal and Lemmer (Eds.) Uncertainty in Artificial Intelligence, Elsevier (1986).
Bonissone, P. (1987). ‘Summarizing and propagating of uncertain information with triangular norms’.Int. J. Approx. Reasoning, 1, no. 1, pp. 71–101.
Choquct, G. (1953). ‘Theory of capacities’. Ann. Institut Fourier. 5, 131–295.
Cohcn, P. R., Grinberg, M. R. (1983). ‘ Theory of Heuristics Reasoning about Uncertainty’. The AI magazine. 4, 2, 17–23.
Dubois, D., Prade, H. (1980). Fuzzy Sets and Systems: Theory and Application. Academic Press, New York.
Dubois, D., Prade, H. (1982). ‘A class of fuzzy measures based on triangular norms. A general framework for the combination of uncertain information’. Int. J. General Systems. 8, 43–61.
Dubois, D., Prade, H. (1983). ‘Unfair coins and necessity measures: Towards a possibilistic interpretation of histograms’. Fuzzy Sets and Syst., 10, 15–20.
Garribba, S., Servida, A. (1988). ‘Evidence aggregation in expert judgments’. In Bouchon, Saitta and Yager (Eds.): Uncertainty and Intelligent Systems, Springer-Verlag (1988).
Garribba, S., Servida, A., Volta, G. (1989). ‘Generalized structures for the composition of evidence’. Proceedings of the 3rd IFSA World Congress, Seattle, WA (USA), August 6–11, 1989.
Garribba, S., Lucia, A.C., Servida, A., Volta, G. (1988). ‘Fuzzy measures of uncertainty for evaluating non-destructive crack inspection’. Structural Safety.
Lesmo, L., Saitta, S., Torasso, P. (1985). ‘Evidence combination in Expert Systems’. Int. J. of Man-Machine Studies. 22, 307–326.
Servida, A. (1985). Applications of fuzzy logics to non destructive testing: a model for the interpretation of ultrasonic measurements. Doctoral thesis, School of engineering, Politecnico di Milano, Milano, (in italian).
Servida, A. (1989). ‘Fuzzy uncertainty measures: a tutorial approach’. Proceeding of the Ispra Seminar on “Structural Reliability”, May 11–15, 1987, Reidel Publishing, 1989.
Shafer, G. (1976). A Mathematical Theory of Evidence. Princeton University Press, Princeton, NJ.
Sugeno, M., (1974). ‘Theory of fuzzy integrals and its applications. Ph.D. thesis. Tokio Institute of Technology, Japan.
Zadeh, L. A. (1965). ‘Fuzzy sets’. Information and Control. 8, 338–353.
Zadeh, L. A. (1978). ‘Fuzzy sets as a basis for a theory of possibility’. Fuzzy Sets and Systems. 1, 3–28.
Zadeh, L. A. (1979). ‘Fuzzy sets and information granularity’.In Gupta, Ragade, Yager (Eds.), Advances in Fuzzy Set Theory and Applications, 3–18, North Holland Publishing Co., NY, 1979.
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Servida, A. (1989). Reasoning About Data: The Combination of Multiple and Non Homogeneous Sources of Knowledge. In: Jovanović, A.S., Kussmaul, K.F., Lucia, A.C., Bonissone, P.P. (eds) Expert Systems in Structural Safety Assessment. Lecture Notes in Engineering, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83991-7_22
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DOI: https://doi.org/10.1007/978-3-642-83991-7_22
Publisher Name: Springer, Berlin, Heidelberg
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