Study on Fuzzy Optimization Method Based on Quasi-Linear Fuzzy Number

By studying the structure of fuzzy information and the mechanism of fuzzy optimization, one concept, quasi-linear fuzzy number, is first proposed in this paper. It has been proven that quasi-linear fuzzy number can approach to any form of fuzzy number under Lp-metric. Second, by distinguishing principal indexes and assistant indexes, this paper gives the comparison method of fuzzy information based on synthesizing effect and the description method of fuzzy information on quasi-linear fuzzy number and principal indexes. Third, a new kind of fuzzy genetic algorithm based on quasi-linear fuzzy number is proposed (denoted by BQLFN-FGA). Finally, the results of the example indicate that our proposed algorithm not only possesses good performance and description, but also can effectively merge the decision consciousness with execution process of the algorithm, so it can be applied to any form of fuzzy optimization problems.