Application of Geometric Programming in Fuzzy Optimization of Multi-objective Structure

Abstract

In order to solve the problem of multi-objective fuzzy optimization design in engineering structure reasonably and effectively, this paper constructs the membership functions of each fuzzy object subset satisfying the fuzzy constraints, and uses the maximum-minimum method of optimal fuzzy decision coordination solution to combine the multi-objective The fuzzy optimization design is transformed into an ordinary single-objective mathematical programming problem, and the cutting plane method of geometric programming is used to solve it. Two numerical examples are given at the end of the paper.