Calculation of reliability of structures by using interval probability
نویسنده
چکیده
There are a lot of problems in engineering which are connected with the necessity not to neglect the influence of uncertainties in parameters (these are for example seismic vibrations, wind loaded structures and imperfection sensitive structures). Fuzzy numbers and possibility theory are used for problems where uncertainties in definition of input data do not allow for a treatment by means of probabilistic methods. Starting from scarce/uncertain body of information, fuzzy numbers are used to define possibility distributions as well as upper and lower bounds for a wide class of probability distributions compatible with available data. It is shown that fuzzy numbers give upper and lower bounds (with respect to probability) for value of the reliability of structures. Calculations were done using a special algorithm based on interval arithmetic.
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