Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making

Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making
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犹豫模糊幂聚合算子及其在多属性群决策中的应用

DOI:
10.1016/j.ins.2013.01.002
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发表时间:
2013-06
影响因子:
8.1
通讯作者:
Zhiming Zhang
Zhiming Zhang
中科院分区:
计算机科学1区
文献类型:
--
作者:
Zhiming Zhang

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犹豫模糊集是模糊集的一个有用的推广,它被设计用于由于几个不同值之间的模糊性而难以确定元素对集合的隶属关系的情况。在本文中,我们开发了一个范围广泛的犹豫模糊功率聚集运营商犹豫模糊信息。我们首先介绍了几个功率聚合算子,然后将这些算子扩展到犹豫模糊环境,即,我们引入运算符来聚集采用犹豫模糊集形式的输入参数。我们展示了几个有用的性质的运营商,并讨论它们之间的关系。利用新的集结算子,发展了具有犹豫模糊信息的多属性群决策方法。最后,通过实例验证了所提方法的有效性.
The hesitant fuzzy set is a useful generalization of the fuzzy set that is designed for situations in which it is difficult to determine the membership of an element to a set owing to ambiguity between a few different values. In this paper, we develop a wide range of hesitant fuzzy power aggregation operators for hesitant fuzzy information. We first introduce several power aggregation operators and then extend these operators to hesitant fuzzy environments, i.e., we introduce operators to aggregate input arguments that take the form of hesitant fuzzy sets. We demonstrate several useful properties of the operators and discuss the relationships between them. The new aggregation operators are utilized to develop techniques for multiple attribute group decision making with hesitant fuzzy information. Finally, some practical examples are provided to illustrate the effectiveness of the proposed techniques.
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