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区间直觉模糊几何Bonferroni平均算子及其应用

周晓辉 姚俭 孙文浩 袁清华

计算机工程与应用2016,Vol.52Issue(3):12-16,54,6.
计算机工程与应用2016,Vol.52Issue(3):12-16,54,6.DOI:10.3778/j.issn.1002-8331.1401-0407

区间直觉模糊几何Bonferroni平均算子及其应用

Interval-valued intuitionistic fuzzy geometric Bonferroni means operator and its application.

周晓辉 1姚俭 1孙文浩 1袁清华2

作者信息

  • 1. 上海理工大学 管理学院,上海 200093
  • 2. 中央财经大学 商学院,北京 100081
  • 折叠

摘要

Abstract

For solving Multiple Attribute Group Decision-Making(MAGDM)problems where attribute values are in the form of interval-valued intuitionistic fuzzy numbers and attributes are associated with each other, an approach is proposed based on Interval-Valued Intuitionistic Fuzzy Geometric Weighted Bonferroni Means(IVIFGWBM)operator. The concepts of interval-valued intuitionistic fuzzy numbers are introduced, and Interval-Valued Intuitionistic Fuzzy Geometric Bonferroni Means(IVIFGBM)operator and IVIFGWBM operator are defined at the same time, which are based on operational laws and Bonferroni means operator. Meanwhile, the related properties are researched, and then a model of multi-attribute decision group making is constructed based on IVIFGWBM operator, which is for making decisions combining with sort methods. This approach is further applied in MAGDM, and the results show that the developed approach is feasible and effective.

关键词

区间直觉模糊数/区间直觉模糊几何Bonferroni平均算子/区间直觉模糊几何加权Bonferroni平均算子/多属性群决策

Key words

interval-valued intuitionistic fuzzy number/interval-valued intuitionistic fuzzy geometric Bonferroni means oper-ator/interval-valued intuitionistic fuzzy geometric weighted Bonferroni means operator/multi-attribute group decision making

分类

管理科学

引用本文复制引用

周晓辉,姚俭,孙文浩,袁清华..区间直觉模糊几何Bonferroni平均算子及其应用[J].计算机工程与应用,2016,52(3):12-16,54,6.

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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