属性值为区间数的决策对象相对可能度关系模型及其应用
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厦门理工学院

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中图分类号:

TP182, O159

基金项目:

国家自然科学基金(60975052); 福建省软科学项目(2019R0094); 福建省社会科学规划项目(FJ2018B031, FJ2019B101); 厦门理工学院高层次人才引进项目(YKJ17004R)


Relative possibility relation model for decision making objects with multiple attribute values as interval number and its application
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Affiliation:

Xiamen University of Technology

Fund Project:

National Natural Science Foundation of China(60975052); Soft Science Project Foundation of Fujian Province(2019R0094); Social Science Planning Project Foundation of Fujian Province(FJ2018B031, FJ2019B101); The Scientific Research Foundation of Xiamen University of Technology(YKJ17004R)

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    摘要:

    对于属性权重未知的区间数型不确定多属性决策问题,首先在界定区间数相对可能度的基础上给出了区间数比较相对可能度关系理论,并得到一些相关性质;其次借鉴离差最大化模型算法建立基于比较相对可能度关系确定属性权重的区间数型决策对象相对可能度关系模型(IN-DMORPRM),然后通过集结与融合供选决策对象间两两优势比较测定出的相对可能度关系矩阵信息,得到各决策对象比较的总体相对可能度值并对供选对象集实施优劣选择和判定,以此给出一种新的区间数多属性决策对象的相对可能度关系模型算法。最后利用算例验证了所给模型算法的有效性和实用性。

    Abstract:

    For the interval number-based uncertain multiple attribute decision making problem with unknown attribute weights, firstly, based on the definition to relative possibility degree of interval number, the comparative relative possibility relation theory of interval number is proposed, and some related properties are obtained. Secondly, the interval number-based decision making object relative possibility relation model (IN-DMORPRM) to determine the attribute weight based on comparative relative possibility relation is established by drawing lessons from the idea of algorithm rules of maximizing deviation model. Then, by aggregating and fusing the information of the relative possibility degree relation matrix which measured by the superiority comparison in pairs between the decision making objects, the value of overall relative possibility degree of each decision making object is obtained, and the selection and judgment of the advantages and disadvantages of the objects set to selecting are carried out. A new model algorithm for the relative possibility degree relation of interval number-based multi-attribute decision making objects is so as to given. Finally, an numerical example is used to verify the effectiveness and practicability of the model algorithm.

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历史
  • 收稿日期:2020-08-03
  • 最后修改日期:2021-02-04
  • 录用日期:2021-02-10
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