Multiobjective optimization of uncertain structures through fuzzy set and random set theory

摘要

An interactive procedure to solve multicriteria optimization problems is proposed and discussed. A fuzzy set is usd to model the engineer's judgment on each objective function. The properties of the compromise solution obtained are investigated along with the links between the present method and those based on fuzzy logic. Uncertainty affect- ing the parameters is modeled by means of fuzzy relations or fuzzy numbers, whose probabilistic meaning is clarified by random set and possibility theory.