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一种新的直觉模糊混合算术平均算子

A New Hybrid Weighted Averaging Operator for Intuitionistic Fuzzy Set

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【作者】 白崧廷赵华徐泽水许大伟

【Author】 BAI Song-ting;ZHAO Hua;XU Ze-shui;XU Da-wei;Institute of Communications Engineering,PLA University of Science and Technology;Institute of Sciences,PLA University of Science and Technology;

【机构】 解放军理工大学通信工程学院解放军理工大学理学院

【摘要】 提出一种新的直觉模糊混合算术平均(IFHAA)算子.算子在决策过程中不仅考虑到集结元素自身的重要性,同时兼顾了集结位置的重要性,且具备一些优良性质.首先回顾了直觉模糊集基本知识,之后提出IFHAA算子并讨论其相关性质,最后结合实例论证了算子的实用性和有效性.

【Abstract】 In this paper,a new kind of hybrid weighted averaging aggregating operator for intuitionistic fuzzy information,which is called the IFHAA operator,is proposed.The IFHAA operator considers not only the importance of the attribution,but also their positions in the aggregation and has some good properties.The paper begins with some basic concepts of intuitionistic fuzzy sets,then proposes the novel intuitionistic fuzzy hybrid arithmetical averaging operator(IFHAA),and then discusses the properties of the IFHAA operator.Finally a numerical example is provided to illustrate the practicality and validity of the new operator.

  • 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2015年23期
  • 【分类号】O159;O177
  • 【被引频次】7
  • 【下载频次】427
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