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

Article type: Research Article

Authors: Huang, Hong-Zhong | Wu, Wei-Dong | Liu, Chun-Sheng

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

Note: [] Corresponding author. Tel.: +86 28 8320 6916; Fax: +86 28 8320 6916; E-mail: [email protected]

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.

Keywords: Fuzzy multi-objective optimization, system reliability, coordination method, coordination function, exponential weights

Journal: Journal of Intelligent & Fuzzy Systems, vol. 16, no. 3, pp. 213-220, 2005