Hesitant fuzzy Hamacher aggregation operators for multicriteria decision making

Hesitant fuzzy Hamacher aggregation operators for multicriteria decision making
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用于多标准决策的犹豫模糊 Hamacher 聚合算子

DOI:
10.1016/j.asoc.2014.10.007
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发表时间:
2015
影响因子:
8.7
通讯作者:
Chen Xiaohong
Chen Xiaohong
中科院分区:
计算机科学2区
文献类型:
--
作者:
Tan Chunqiao;Yi Wentao;Chen Xiaohong

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作为模糊集的扩展,犹豫集可有效地用于对由于不同值之间的模糊性而允许确定元素对集合的多个可能隶属度的情况进行建模。我们首先介绍了一些基于 Hamacher t-norm 和 t-conorm 的犹豫模糊集的新运算规则,其中提出了一系列犹豫模糊 Hamacher 算子来聚合犹豫模糊信息。给出了这些所提出的算子的一些基本属性,并详细显示了它们之间的关系。我们进一步讨论了所提出的聚合算子和现有的犹豫模糊聚合算子之间的相互关系。应用所提出的犹豫模糊算子,我们开发了一种解决犹豫模糊多标准决策问题的新技术。最后,通过实际例子说明了所提技术的有效性。
As a fuzzy set extension, the hesitant set is effectively used to model situations where it is allowable to determine several possible membership degrees of an element to a set due to the ambiguity between different values. We first introduce some new operational rules of hesitant fuzzy sets based on the Hamacher t-norm and t-conorm, in which a family of hesitant fuzzy Hamacher operators is proposed for aggregating hesitant fuzzy information. Some basic properties of these proposed operators are given, and the relationships between them are shown in detail. We further discuss the interrelations between the proposed aggregation operators and the existing hesitant fuzzy aggregation operators. Applying the proposed hesitant fuzzy operators, we develop a new technique for hesitant fuzzy multicriteria decision making problems. Finally, the effectiveness of the proposed technique is illustrated by mean of a practical example.
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