A coordination method for fuzzy multi-objective optimization of system reliability

Authors:
Hong-Zhong Huang;Wei-Dong Wu;Chun-Sheng Liu
Affiliations:
School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, China;Department of Mechanical Engineering, Heilongjiang Institute of Science and Technology, Harbin, 150027, China;Department of Mechanical Engineering, Heilongjiang Institute of Science and Technology, Harbin, 150027, China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2005

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Abstract

A fuzzy directed graph is used to represent the dynamic relationships among the sub-objectives of a fuzzy multi-objective optimization problem. Using the comprehensive coordination function with exponential weights, we transform a fuzzy multi-objective optimization problem into a single-objective optimization problem. The optimal solution of the single-objective optimization problem can then be obtained with conventional single-objective optimization methods. The optimal solution represents the best trade-off among the possibly conflicting sub-objectives in the original optimization problem. An illustrative example is given to illustrate the effectiveness of the proposed approach.