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The Weighted Distance Measure Based Method to Neutrosophic Multiattribute Group Decision Making

机译:基于加权距离测度的中智多属性群决策方法

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摘要

Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function, and falsity membership function. In this paper, we study the multiattribute group decision making (MAGDM) problems under neutrosophic environment with the incompletely known or completely unknown attribute weight. We first define the single-valued neutrosophic ideal solution (SVNIS) and the weighted distance measure and establish the program models to derive the attribute weights. Then, we give a practical application in the framework of SVNS; the result shows that our method is reasonable and effective in dealing with decision making (DM) problems. Furthermore, we extend the method to interval-valued neutrosophic set (IVNS).
机译:中智集(NS)是模糊集(FS)的泛化,针对某些实际情况而设计,其中每个元素具有不同的真值隶属度函数,不确定性隶属度函数和虚假隶属度函数。在本文中,我们研究了在中智环境下属性权重不完全已知或完全未知的多属性小组决策(MAGDM)问题。我们首先定义单值中智理想解(SVNIS)和加权距离度量,并建立程序模型以导出属性权重。然后,我们在SVNS框架中进行了实际应用;结果表明,该方法在处理决策问题上是合理有效的。此外,我们将该方法扩展到区间值中智集(IVNS)。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第5期|3145341.1-3145341.8|共8页
  • 作者

    Liu Chunfang; Luo YueSheng;

  • 作者单位

    Northeast Forestry Univ, Coll Sci, Harbin 150040, Peoples R China|Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China;

    Northeast Forestry Univ, Coll Sci, Harbin 150040, Peoples R China|Harbin Engn Univ, Coll Sci, Harbin 150001, Peoples R China;

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