Uncertainty Measures for Hesitant Fuzzy Information
Uncertainty Measures for Hesitant Fuzzy Information
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DOI：
10.1002/int.21714
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发表时间：
2015-07
影响因子：
7
通讯作者：
Na Zhao;Zeshui Xu;Fengjun Liu
中科院分区：
文献类型：
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作者：
Na Zhao;Zeshui Xu;Fengjun Liu
在本文中，我们首先回顾了现有的犹豫模糊元素（HFE）的熵度量，并证明了现有的HFE的熵度量在某些情况下无法有效区分一些明显不同的HFE。然后，我们提出了一个新的公理化框架的熵措施，充分考虑到两个方面的不确定性与HFE（即，模糊性和非特异性）。我们采用二元熵模型来表示与HFE相关的两种类型的不确定性。此外，我们讨论了如何制定各种不确定性。对于模糊性和非特异性，给出了一些简单的测度构造方法，较好地解决了现有熵测度中存在的问题。给出了几个例子来说明每种方法，并与现有的熵措施的比较。
In this paper, we first review the existing entropy measures for hesitant fuzzy elements (HFEs) and demonstrate that the existing entropy measures for HFEs fail to effectively distinguish some apparently different HFEs in some cases. Then, we propose a new axiomatic framework of entropy measures for HFEs by taking fully into account two facets of uncertainty associated with an HFE (i.e., fuzziness and nonspecificity). We adopt a two‐tuple entropy model to represent the two types of uncertainty associated with an HFE. Additionally, we discuss how to formulate each kind of uncertainty. For each of fuzziness and nonspecificity, some simple methods are provided to construct measures, which can well handle the problems in the existing entropy measures for HFEs. Several examples are given to illustrate each method, and comparisons with the existing entropy measures are also offered.