Structural Multi-objective Fuzzy Optimization

The design variable ,the objective function and the term of restriction in a complex structure of a project ,all of them can be fuzzy ,or one aspect is fuzzy ,but other aspects are confirmed .Because of the complexity of a structure ,the number of the objective functions will be huge .All of these characteristics means that it is a vast work in the optimize design of structure .At the same time ,if the fundamentality of every objective function can not be deal with logically in the process of design ,it will lead to a bad result ,which is not a superior result .The math model of fuzzy multi-objective optimization is founded , and the condition about the assignment of the weightiness coefficient is analyzed by using fuzzy synthetically judgement , according to the result of analyzing , the significance can be confirmed . Then optimize design can be went along by measuring off the hiberarchy, which is confirmed by the significance of every objective function , of every objective function . On the base of the theory of structure optimized design , the theory of fuzzy character of structure , the theory of multi-objective optimization , the theory of the degree of similarity , the method of fuzzy optimization about the system of multi-objective structure is discussed following .In the different condition of working of structure, the different assigned way about the weightiness coefficient is confirmed , and it will be amended suitability at last , in order to accord with the actual working condition . And it is a base to farther optimized design.At the first the germ of fuzzy character and the problem in the methods of fuzzy multi-objective optimization are researched . Considering the weakness of direct solution and indirect solution , that the weightiness coefficient ,which every objective function needed,should be confirmed beforehand , and the way of uniform assignment of the weightiness coefficient in classical multi-objective optimization is blindness and empiricism sometime , always lead to a puzzle dom in search of optimum solution . So that the way of fuzzy synthetically judgement is used to confirm the weightiness coefficient , and the weighting coefficient which is confirmed beforehand will be rational .The design variable , the objective function ,the term of restriction ,interval number and working condition is analyzed then .Considering the fuzzy factor in both the function of target and the term of restriction ,and the similarity of the math model...