Some modified Pythagorean fuzzy correlation measures with application in determining some selected decision-making problems
Some modified Pythagorean fuzzy correlation measures with application in determining some selected decision-making problems
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DOI：
10.1007/s41066-021-00272-4
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发表时间：
2021-07-09
影响因子：
5.5
通讯作者：
Onyeke, Idoko Charles
中科院分区：
文献类型：
--
作者：
Ejegwa, Paul Augustine;Adah, Victoria;Onyeke, Idoko Charles
毕达哥拉斯模糊集是广义模糊集的一种改进形式。由于它具有抑制模糊性的能力，因而在决策科学中有较好的应用表达。相关系数是衡量广义模糊集在决策中适用性的一个可靠的度量算子。一些方法估计相关性的PFS进行了探索，虽然有一定的挫折。本文介绍了几种计算概率函数相关系数的方法，解决了现有方法中存在的不足。一些数值例子证实了新的方法优于现有的相关系数措施。此外，某些决策问题，如婚姻的选择，建筑材料的分类，并在勾股模糊值表示的竞选过程中解决使用建议的相关性措施。具体而言，这项工作的目标是（1）介绍一些新的三参数方法计算相关系数的PFS，（2）表征其理论性质，（3）确定其优于现有的方法，（4）探索所提出的方法在某些决策问题中的应用。从研究中，它是观察到，新的勾股模糊相关系数提供可靠的输出相比，现有的，因此，可以适当地处理多标准决策有效。
Pythagorean fuzzy set (PFS) is an advanced version of generalized fuzzy sets. It has a better applicative expression in decision-making because of its capability in curbing fuzziness embedded in decision science. Correlation coefficient is a reliable measuring operator for the applicability of generalized fuzzy sets in decision-making. Some approaches of estimating correlation of PFSs have been explored, albeit with certain setbacks. This paper introduces some methods of calculating the correlation coefficient of PFSs which resolve the setbacks in the existing methods. Some numerical examples are supplied to confirm the superiority of the novel methods over the existing correlation coefficient measures. In addition, certain decision-making problems such as marital choice-making, classification of building materials, and electioneering process represented in Pythagorean fuzzy values are resolved using the proposed correlation measure. Specifically, the objectives of this work are to (1) introduce some new triparametric methods of computing correlation coefficient of PFSs, (2) characterize their theoretic properties, (3) ascertain their advantages over the existing methods, and (4) explore the application of the proposed methods in certain decision-making problems. From the study, it is observed that the new Pythagorean fuzzy correlation coefficients give reliable outputs compared to the existing ones and, hence, can suitably handle multiple criteria decision-making effectively.