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B Möller, M Beer, and M Liebscher (2003)
Fuzzy Cluster Design: A new way for structural design
In: 9th International Conference on Civil and Structural Engineering Computing, edited by B.H.V. Topping. Civil-Comp Press, Egmond-aan-Zee, pages 285–286.
In this paper a fuzzy method for determining appropriate structural design is presented. Non-stochastic uncertainty is quantified using fuzzy values and fuzzy random variables. Fuzzy structural parameters are processed on the basis of a generally applicable numerical method for arbitrary linear and nonlinear fuzzy structural analyses. Fuzzy randomness is introduced into a fuzzy probabilistic safety assessment, which is formulated by extending common probabilistic concepts. From these applications fuzzy results are obtained as fuzzy structural responses and fuzzy safety levels. These fuzzy results are compared to permissible values and assessed using Shannon's entropy and defuzzification algorithms. Referring to permissible structural responses and safety levels uncertain structural design parameters are derived by applying a fuzzy cluster analysis to the fuzzy structural parameters and fuzzy parameters of fuzzy random variables. The nonlinear fuzzy structural analysis including uncertain structural design is demonstrated by way of an example.
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