COMBINATION OF ANTI-OPTIMIZATION AND FUZZY-SET-BASED ANALYSES FOR STRUCTURAL OPTIMIZATION UNDER UNCERTAINTY

An approach to the optimum design of structures, in which uncertaintie s with a fuzzy nature in the magnitude of the loads are considered, is proposed in this study. The optimization process under fuzzy loads is transformed into a fuzzy optimization problem based on the notion of Werners' maximizing set by defining membership functions of the object ive function and constraints. In this paper, Werner's maximizing set i s defined using the results obtained by first conducting an optimizati on through anti-optimization modeling of the uncertain loads. An examp le of a ten-bar truss is used to illustrate the present optimization p rocess; The results are compared with those yielded by other optimizat ion methods.