Robust Design and Assessment of Product and Production with Fuzzy Number

In this chapter, the robust design and assessment of product and production with fuzzy number are conducted by means of probabilistic approach for multi—objective optimization (PMOO) with defuzzification routine, the fundamental idea and algorithm of fuzzy theory are taken as the footstone to conduct the regulation, the “intersection” of the “desired data” and “available data” of performances can be used to determine the utility of the corresponding attribute in the scheme selection. Besides, a nimble fuzzification approach of robust design for “target the best” case is developed by means of combination of probabilistic approach for multi—objective optimization (PMOO) with fuzzy theory flexibly for the convenience, the membership of an actual performance index with respect to its target value can be taken as the utility in the assessment by means of PMOO directly; the “fuzzification” procedure is a brand new approach. Furthermore, typical examples are given to illustrate the new regulations.