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Correlation coefficient of dual hesitant fuzzy sets and its applications

机译：双重犹豫模糊集的相关系数及其应用

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摘要

Correlation between two variables or parameters plays a very significant role in statistics. Furthermore, the accuracy in the measurement of the correlation depends upon the data collected for the set of discourse. It is quite evident that in many cases the data collected for various statistical measures are full of uncertainties. A dual hesitant fuzzy set (DHFS) is a generalized form of a hesitant fuzzy set (HFS) and negates the effects of uncertainty inherent in the collected data. In the present paper, the concept of HFS has been replaced with DHFS and the correlation between two DHFSs is obtained. A formula for the correlation coefficient between two DHFSs has been derived. The proposed method was used to determine the coefficient of correlation between different parameters of water in four different lakes in Rajasthan, India.
机译：两个变量或参数之间的相关性在统计中起着非常重要的作用。此外，相关性测量的准确性取决于为该组话语收集的数据。显然，在许多情况下，为各种统计手段收集的数据充满不确定性。双重犹豫模糊集（DHFS）是犹豫模糊集（HFS）的广义形式，它消除了所收集数据固有的不确定性的影响。在本文中，HFS的概念已被DHFS取代，并获得了两个DHFS之间的相关性。推导了两个DHFS之间相关系数的公式。该方法被用于确定印度拉贾斯坦邦四个不同湖泊中不同水参数之间的相关系数。

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