Distance and similarity measures for hesitant fuzzy sets
Distance and similarity measures for hesitant fuzzy sets
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犹豫模糊集的距离和相似性度量
DOI：
10.1016/j.ins.2011.01.028
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发表时间：
2011-06-01
影响因子：
8.1
通讯作者：
Xia, Meimei
中科院分区：
文献类型：
--
作者：
Xu, Zeshui;Xia, Meimei
本文提出了犹豫模糊集的各种距离度量，并在此基础上得到相应的相似性度量。我们研究了上述距离测度之间的联系，并进一步发展了一些犹豫有序加权距离测度和犹豫有序加权相似测度。它们可以通过分配低（或高）权重来减轻过大（或小）偏差对聚合结果的影响。给出了几个数值例子来说明这些距离和相似度量。(C) 2011爱思唯尔公司版权所有。
In this paper, we propose a variety of distance measures for hesitant fuzzy sets, based on which the corresponding similarity measures can be obtained. We investigate the connections of the aforementioned distance measures and further develop a number of hesitant ordered weighted distance measures and hesitant ordered weighted similarity measures. They can alleviate the influence of unduly large (or small) deviations on the aggregation results by assigning them low (or high) weights. Several numerical examples are provided to illustrate these distance and similarity measures. (C) 2011 Elsevier Inc. All rights reserved.