New ranking order for linguistic hesitant fuzzy sets

New ranking order for linguistic hesitant fuzzy sets
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语言犹豫模糊集的新排序

DOI:
10.1080/01605682.2018.1447252
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发表时间:
2019
影响因子:
3.6
通讯作者:
Tang Jie
Tang Jie
中科院分区:
管理学4区
文献类型:
--
作者:
Meng Fanyong;Tang Jie

文献摘要

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摘要语言犹豫模糊集能有效地表示决策者的定性和定量的犹豫判断。已经提出了几种排序方法来演示LHFSS的应用。然而,它们都不能对LHFs进行合理的排名。因此,这篇短文首先从理论和数值两个方面分析了以往排名方法的不足。然后提出了一个新的排名顺序来解决这些不足之处。最后,给出了一个数值算例,说明了该方法的具体应用,并与以往的方法进行了比较。
Abstract Linguistic hesitant fuzzy sets (LHFSs) can effectively represent the qualitative and quantitative hesitant judgements of decision-makers. Several ranking methods have been proposed to demonstrate the application of LHFSs. However, none of them can rank LHFSs logically. Hence, this short communication first analyses the disadvantages of previous ranking methods in terms of theoretical and numerical aspects. A new ranking order is then proposed to address such shortcomings. Finally, a numerical example is presented to demonstrate the specific application of the new method and compare it with previous ones.