Multi‐objective optimization of fuzzy structural systems

Abstract

Abstract It is recognized that there exists a vast amount of fuzzy information in both the objective and constraint functions of the optimum design of structures. Since most practical structural design problems involve several, often conflicting, objectives to be considered, a multi‐objective fuzzy programming method is outlined in this work. The fuzzy constraints define a fuzzy feasible domain in the design space and each of the fuzzy objective functions defines the optimum solution by a fuzzy set of points. A method of solving a fuzzy multi‐objective structural optimization problem using ordinary single‐objective programming techniques is presented. The computational approach is illustrated with two numerical examples.