Probabilistic treatment of fuzzy events in civil engineering

Introduction de plusieurs representations differentes des incertitudes en rapport avec le traitement probabiliste et specialement le concept d'ensembles flous. Description de deux methodes de traitement des cas flous par un procede probabiliste: l'une est basee sur la probabilite des cas flous et l'autre implique l'emploi de flou ou de langage probabiliste. Exemples numeriques illustrant ces deux methodes. Exemple de la maintenance des ponts

[1]  Mark D. Bowman,et al.  Fatigue Damage Assessment of Welded Structures , 1983 .

[2]  David I Blockley,et al.  The nature of structural design and safety , 1980 .

[3]  Colin B. Brown Entropy Constructed Probabilities , 1980 .

[4]  Mark D. Bowman,et al.  Fatigue Behavior of Butt Welds with Slag Inclusions , 1984 .

[5]  W H Munse,et al.  Fatigue of Welded Steel Structures , 1964 .

[6]  D. I. Blockley,et al.  Measures of uncertainty , 1983 .

[7]  G. Banon,et al.  Distinction between several subsets of fuzzy measures , 1981 .

[8]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[9]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[10]  Huibert Kwakernaak,et al.  Rating and ranking of multiple-aspect alternatives using fuzzy sets , 1976, Autom..

[11]  James T. P. Yao Probabilistic methods for the evaluation of seismic damage of existing structures , 1982 .

[12]  Hitoshi Furuta,et al.  Reliability Analysis Based on Fuzzy Probability , 1983 .

[13]  N. Shiraishi,et al.  Fuzzy importance in fault tree analysis , 1984 .

[14]  James T. P. Yao Damage Assessment of Existing Structures , 1980 .

[15]  Colin B. Brown A Fuzzy Safety Measure , 1979 .

[16]  James J. Buckley Decision Making Under Risk: A Comparison of Bayesian and Fuzzy Set Methods , 1983 .

[17]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[18]  Ronald R. Yager,et al.  Fuzzy Sets, Probabilities, and Decision , 1980, Cybern. Syst..

[19]  A. N. Kolmogorov,et al.  Foundations of the theory of probability , 1960 .