Hesitant Fuzzy Sets: State of the Art and Future Directions

Hesitant Fuzzy Sets: State of the Art and Future Directions
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DOI:
10.1002/int.21654
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发表时间:
2014-06-01
影响因子:
7
通讯作者:
Herrera, F.
Herrera, F.
中科院分区:
计算机科学2区
文献类型:
--
作者:
Rodriguez, R. M.;Martinez, L.;Herrera, F.

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处理真实的世界问题中的不确定性的必要性一直是一个长期的研究挑战,产生了不同的方法论和理论。模糊集沿着它们的扩展,如2型模糊集、区间值模糊集和Atanassov的直觉模糊集,提供了广泛的工具,能够处理不同类型问题中的不确定性。最近,一个新的扩展模糊集所谓的犹豫模糊集已被引入到处理犹豫的情况下,这是没有很好地管理以前的工具。犹豫模糊集已经吸引了很多研究人员的注意,提出了不同的扩展,几种类型的运营商计算与这种类型的信息,并最终开发了一些应用程序。由于这样的增长,本文提出了一个概述犹豫模糊集的目的是提供一个清晰的视角不同的概念,工具和趋势相关的模糊集的扩展。
The necessity of dealing with uncertainty in real world problems has been a long-term research challenge that has originated different methodologies and theories. Fuzzy sets along with their extensions, such as type-2 fuzzy sets, interval-valued fuzzy sets, and Atanassov's intuitionistic fuzzy sets, have provided a wide range of tools that are able to deal with uncertainty in different types of problems. Recently, a new extension of fuzzy sets so-called hesitant fuzzy sets has been introduced to deal with hesitant situations, which were not well managed by the previous tools. Hesitant fuzzy sets have attracted very quickly the attention of many researchers that have proposed diverse extensions, several types of operators to compute with such types of information, and eventually some applications have been developed. Because of such a growth, this paper presents an overview on hesitant fuzzy sets with the aim of providing a clear perspective on the different concepts, tools and trends related to this extension of fuzzy sets.