| In this paper, structures of sequence about fuzzy numbers are introduced in de-tails, and the comparison methods of fuzzy numbers are summarized and concluded. The sequence of fuzzy numbers is applied to the solution of fuzzy posynomial geo-metric programming and two new methods are given in this chapter. Finally, based on the sequence of Fuzzy number,the solution is compared to the fuzzy posynomial geometric programming.Divided into four chapters, the first chapter is an introduction, including two parts. The former briefly reviews the historical background and development process of geometric programming, fuzzy mathematics and fuzzy programming,and the latter describes the purpose of this paper and its main content.The second chapter is divided into five parts.1. Introduction the basic concepts and calculation of fuzzy sets.2. Presentation of the theoretical background of fuzzy numbers.3. Description of the basic concept and main character of fuzzy numbers. 4. Discussion of the sequence of fuzzy numbers with three new methods given for it, and with the methods of how to choose the sequence of fuzzy numbers given, and the last part contains a summary.Follow that is the third chapter with two parts. The first part introduces the origin and main types of the geometric programming in details. The second part describes the origin of the fuzzy geometric programming, current development status and the coming direction.And then,the fourth chapter is divided into four parts. Introducing the solution to fuzzy posynomial geometric programming based on Roubens sequence of fuzzy numbers. Demonstrating the solution to it based on the modified Yager sequence of fuzzy numbers. Discussing the solution to it based on the sense of harmonic mean about the comparison numbers, with the last chapter summarized in the five part.Finally, a summary is provided in this paper, with a look at research orientation in the future introduced.
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