Fuzzy Genetic Algorithm Based on Principal Operation and Inequity Degree

Authors:
Fachao Li;Chenxia Jin
Affiliations:
School of Economy and Management, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, China and School of Science, Hebei University of Science and Technology, Shijiazhuang, He ...;School of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, China
Venue:
ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
Year:
2009

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Abstract

In this paper, starting from the structure of fuzzy information, by distinguishing principal indexes and assistant indexes, give comparison of fuzzy information on synthesizing effect and operation of fuzzy optimization on principal indexes transformation, further, propose axiom system of fuzzy inequity degree from essence of constraint, and give an instructive metric method; Then, combining genetic algorithm, give fuzzy optimization methods based on principal operation and inequity degree (denoted by BPO&ID-FGA, for short); Finally, consider its convergence using Markov chain theory and analyze its performance through an example. All these indicate, BPO&ID-FGA can not only effectively merge decision consciousness into the optimization process, but possess better global convergence, so it can be applied to many fuzzy optimization problems.