An Interactive Fuzzy Multi-Objective Optimization Method for Engineering Design


The coupling of performance functions due to common design variables and uncertainties in an engineering design process will result in difficulties in optimization design problems, such as poor collaboration among design objectives and poor resolution of design conflicts. To handle these problems, a fuzzy interactive multi-objective optimization model is developed based on Pareto solutions, where the metric function and some additional constraints are added to ensure the collaboration among design objectives. The trade-off matrix at the Pareto solutions was developed, and the method for selecting weighting coefficients of optimization objectives is also provided. The proposed method can generate a Pareto optimal set with the maximum satisfaction degree and the minimum distance from ideal solution. The favorable optimal solution can be then selected from the Pareto optimal set by analyzing the trade-off matrix and collaborative sensitivity. Two examples are presented to illustrate the proposed method.


Mechanical and Aerospace Engineering


Excellent Young Teachers Program of the Ministry of Education of China
National Excellent Doctoral Dissertation Special Foundation of China
National Natural Science Foundation (China)

Keywords and Phrases

Fuzzy Optimization; Interactive Optimization; Pareto Solutions

International Standard Serial Number (ISSN)


Document Type

Article - Journal

Document Version


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© 2005 Elsevier, All rights reserved.

Publication Date

01 Jan 2005