Dual Hesitant Fuzzy Sets
Dual Hesitant Fuzzy Sets
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DOI：
10.1155/2012/879629
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发表时间：
2012-05
期刊：
影响因子：
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通讯作者：
Bin Zhu;Zeshui Xu;M. Xia
中科院分区：
文献类型：
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作者：
Bin Zhu;Zeshui Xu;M. Xia
近几十年来，模糊集、区间值模糊集、直觉模糊集、区间值直觉模糊集、二型模糊集、𝑛型模糊集、犹豫模糊集等几种类型的模糊集被引入并被广泛研究。本文提出了一种包含模糊集、直觉模糊集、犹豫模糊集和模糊多集的对偶犹豫模糊集(DHFSS)。然后，我们研究了DHFSS的基本运算和性质。我们还讨论了上述集合之间的关系，使用嵌套区间的概念来反映它们的共同点，并提出了DHFSS的扩展原理。此外，我们还给出了一个例子来说明DHFSS在群体预测中的应用。
In recent decades, several types of sets, such as fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type 2 fuzzy sets, type 𝑛 fuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely. In this paper, we propose dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases. Then we investigate the basic operations and properties of DHFSs. We also discuss the relationships among the sets mentioned above, use a notion of nested interval to reflect their common ground, then propose an extension principle of DHFSs. Additionally, we give an example to illustrate the application of DHFSs in group forecasting.