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An interactive satisficing approach for multi-objective optimization with uncertain parameters

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Abstract

Uncertain variables are used to describe the phenomenon where uncertainty appears in a complex system. For modeling the multi-objective decision-making problems with uncertain parameters, a class of uncertain optimization is suggested for the decision systems in Liu and Chen (2013), http://orsc.edu.cn/online/131020 which is called the uncertain multi-objective programming. In order to solve the proposed uncertain multi-objective programming, an interactive uncertain satisficing approach involving the decision-maker’s flexible demands is proposed in this paper. It makes an improvement in contrast to the noninteractive methods. Finally, a numerical example about the capital budget problem is given to illustrate the effectiveness of the proposed model and the relevant solving approach.

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Acknowledgments

This work was supported by Grants from the National Social Science Foundation of China (No. 13CGL057), the National Natural Science Foundation of China (No. 71272177), and the Innovation Program of Shanghai Municipal Education Commission (No. 13ZS065).

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Correspondence to Jian Zhou.

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Zhong, S., Chen, Y., Zhou, J. et al. An interactive satisficing approach for multi-objective optimization with uncertain parameters. J Intell Manuf 28, 535–547 (2017). https://doi.org/10.1007/s10845-014-0998-0

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  • DOI: https://doi.org/10.1007/s10845-014-0998-0

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