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Application of Fuzzy Modeling in Civil Engineering
In: Proceedings of the Second International ICSC Symposium on Fuzzy Logic and Applications ISFL 97, edited by N. Steele. ETH Zürich, pages 345–351.
Fuzzy modeling in civil
engineering comprises fuzzification, fuzzy analysis, defuzzification and
safety assessment. It offers a tremendous potential for analyzing
structures with non-stochastic imprecise input information. Non-stochastic
input information arises in both existing and new structures. The
imprecise results of fuzzy modeling permit an improved assessment of
structural behaviour and provide a starting point for a new type of safety
assessment based on possibility theory. We shall discuss all four steps
of fuzzy modeling with special emphasis on the problems of fuzzy
analysis. It will be shown that α-discretization may be advantageously
applied in structural analysis. Taking into account the nonlinearity
and nonmonotonicity of the deterministic computations, the ensuing
fuzzy problems are solved using optimization algorithms. Two examples
will be discussed which include the solution of a transcendental
eigenvalue problem and a linear system of equations. The results
are described and a structural safety assessment is carried out.
