Fuzzy multiobjective topology optimization

The fuzzy decision making technique is used to solve multiobjective topolog y optimization problems in this paper. Minimizing compliance and maximizing fundamental eigenvalue are two objectives pursued. Linear membership funct ions are used for material constraint as well as eigenvalue objective. The membership function for the objective of compliance is a nonlinear exponent ially decaying function. Increasing the decaying rate puts more weight on t he objective of compliance. The effect of different finite element types on the topology is also explored. A numerical example using two different typ es of finite elements is given to illustrate the approach. (C) 2000 Civil-C omp Ltd. and Elsevier Science Ltd. All rights reserved.