Optimum design of structures in a fuzzy environment

The description and the optimization of structures containing fuzzy information has been presented. A method of solving fuzzy optimization problems using ordinary nonlinear programming techniques was presented along with a numerical example. The procedures outlined are expected to be useful in situations where doubt arises concerning exactness of concepts, correctness of statements and judgements, degrees of credibility, etc. , which are essential for the definition of a crisp design optimization problem. The possible applications of fuzzy set theory in the analysis of structural failures and the development of expert systems for structural design are also indicated.