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Multiple attribute decision making considering aspiration-levels: A method based on prospect theory

机译:考虑期望水平的多属性决策:一种基于前景理论的方法

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摘要

In this paper, a method based on prospect theory is proposed to solve the multiple attribute decision making (MADM) problem considering aspiration-levels of attributes, where attribute values and aspiration-levels are represented in two different formats: crisp numbers and interval numbers. According to the idea of prospect theory, aspiration-levels are firstly regarded as the reference points, and the four possible types for comparing an attribute value with an aspiration-level are described. Then, for all possible cases of the four types, the calculation formulae of gains and losses of alternatives concerning attributes are given. By calculating gain and loss of each alternative, a gain matrix and a loss matrix are constructed, respectively. Further, using the value function proposed in prospect theory and the simple additive weighting method, the overall prospect value of each alternative is calculated. Based on the obtained overall prospect values, a ranking of alternatives can be determined. Finally, a numerical example is used to illustrate the use of the proposed method.
机译:本文提出了一种基于前景理论的方法来解决考虑属性期望水平的多属性决策(MADM)问题,其中属性值和期望水平以两种不同的格式表示:明快数和区间数。根据期望理论的思想,首先将期望水平作为参考点,并描述了四种将属性值与期望水平进行比较的可能类型。然后,针对这四种类型的所有可能情况,给出了与属性有关的备选方案收益和损失的计算公式。通过计算每种选择的增益和损耗,分别构建了增益矩阵和损耗矩阵。此外,使用前景理论中提出的价值函数和简单的加法加权方法,可以计算出每个备选方案的整体前景值。基于获得的总体前景值,可以确定替代方案的等级。最后,通过一个数值例子来说明所提出方法的使用。

著录项

  • 来源
    《Computers & Industrial Engineering》 |2013年第2期|341-350|共10页
  • 作者单位

    Department of Management Science and Engineering, School of Business Administration, Northeastern University, Shenyang 110819, China;

    Department of Management Science and Engineering, School of Business Administration, Northeastern University, Shenyang 110819, China,Department of Industrial Engineering, School of Economics & Management, Xi Dian University, Xi'an 710071, China;

    Department of Economics, University of Konstanz, Konstanz 78457, Germany;

    Department of Management Science and Engineering, School of Business Administration, Northeastern University, Shenyang 110819, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Multiple attribute decision making (MADM); Aspiration-level; Prospect theory; Cain; Loss; Ranking;

    机译:多属性决策(MADM);理想水平;前景理论;该隐;失利;排行;

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