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

Shuya Zhong; Yizeng Chen; Jian Zhou; Yuanyuan Liu

doi:10.1007/s10845-014-0998-0

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

Shuya Zhong, Yizeng Chen, Jian Zhou, Yuanyuan Liu

Shanghai University

Research output: Contribution to journal › Article › peer-review

13 Citations (SciVal)

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.

Original language	English
Pages (from-to)	535-547
Number of pages	13
Journal	Journal of Intelligent Manufacturing
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/s10845-014-0998-0
Publication status	Published - 1 Mar 2017

Bibliographical note

Funding Information:
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).

Keywords

Interactive satisficing approach
Multi-objective optimization
Multi-objective programming
Uncertain programming
Uncertain variable

ASJC Scopus subject areas

Software
Industrial and Manufacturing Engineering
Artificial Intelligence

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10.1007/s10845-014-0998-0

Cite this

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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{\textquoteright}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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AU - Zhong, Shuya

AU - Chen, Yizeng

AU - Zhou, Jian

AU - Liu, Yuanyuan

N1 - Funding Information: 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).

PY - 2017/3/1

Y1 - 2017/3/1

N2 - 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.

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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