| While the appearance of "satisficing criterion", it flashes the dazzling light, which filled with the wisdom of the mankind and the demand of the humanity. In the brief course of its development, it is so wonderful, so creative, and full of the milk of human kindness, that it is differ to the normal science theory, it not only attracts the researchers' hard struggle in different lever, different domain, but also is the pet of the social worker and the company and the people. But compared with the superior of the "optimization" in the science palace the pet is so young, so little and so faulty, and so non-system. At the support of the National Natural Science Fund (high technique, new concept, new design research)(59685003) "Study of the integrated performance modeling and optimal design method of the mechanical structure system", the support plan of the Ministry of Education for the young excellent teacher (1766) "Study of the mixed soft computation of the mechanical structure based satisficing criterion", Sichuan century excellent young subject leader fund "Study of the theory and method of the intelligent optimization of mechanical structure", and the open project fund of the mechanical transmission state key lab "Fuzzy reliability analysis and satisfactory optimization study of mechanical transmission", the author has the opportunity to touch this new subject and is attracted by it, then make an attempt at it.In the last three years, at the direction and care of my teachers, Prof. Huang Hongzhong and Prof. Zhou Zhongrong, I have overcome many difficult and finished the dissertation. The dissertation is full of their great expense and my much hardship. The dissertation summarizes the new technique of the optimization, analyzes the limitation of the optimization, reviews the study of satisfactory theory, builds and completes the structure of satisfactory theory, studies satisfactory multi-objective optimization deeply and systematically, and does some useful analyses to several practice problem in mechanical design. The main content is as follows:(1) In chapter 1, the new technique of the optimization theory and method is summed up, the limitation of tradition optimization is analyzed, and it isreaffirmed that in most engineering application and social life man seek the "satisfactory" but not "optimal" and "satisfactory degree theory" is more efficient than "optimization theory".(2) In the section 2.1 and 2.2 of the chapter 2, the study of satisfactory degree is summarized, the generation, development and present research of the satisfactory is analyzed and summed up at large, and it is discussed that the importance and necessity to study the satisfactory degree theory systematically.(3) In the section 2.3 of the chapter 2 and chapter 3, based on the definition of the satisfactory standard and satisfactory degree etc, the study domain, study object are discussed. The presentation, the calculation, the relation of the satisfactory degree and satisfactory solution and their sets are studied. Then by analyzing of the character, the meaning, the relation between satisfactory degree theory and optimization and computing intelligence its essence is shown and the theory system of satisfactory degree is completed.(4) In chapter 4, the satisfactory problem is discussed and examples are analyzed. It is pointed out that the satisfactory degree theory can be used in many parts in the problem solving. One side, It can be an independent theory, which problem dealt with covers many kind problems, and the analyzed and solving process is given; the other side, as a criterion, by importing into optimization and other subject domain and it exerts its effect. The application for some practice instances in some domains is introduced. The satisfactory degree function based on the objective function, by the cost of the solution search, by the proportion of the search process in the solution space, using the fuzzy logic and based on the neural network are put forward.(5) In chapter 5, the satisfactory opt...
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