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q -ROF-SIR methods and their applications to multiple attribute decision making
International Journal of Machine Learning and Cybernetics ( IF 3.1 ) Pub Date : 2021-01-24 , DOI: 10.1007/s13042-020-01267-4
Hua Zhu , Jianbin Zhao , Hua Li

q-rung orthopair fuzzy set (q-ROFS) is a useful tool to express uncertain information. With the parameter q increasing, q-ROFSs have broader space for describing uncertain information than intuitionistic fuzzy sets (IFSs) and Pythagorean fuzzy sets (PFSs). This paper extends the superiority and inferiority ranking (SIR) methods to solve multiple attribute decision making (MADM) problems within the q-ROF environment, named q-ROF-SIR methods. In the q-ROF-SIR methods, the possibility degree (PD) for q-rung orthopair fuzzy numbers (q-ROFNs) is introduced to improve the preference intensity. Further, the q-ROF entropy weight (q-ROF-EW) method is constructed to determine the attribute weights suppose the weights of attribute are unknown. Finally, the effectiveness and applicability of the q-ROF-SIR methods are verified.



中文翻译:

q -ROF-SIR方法及其在多属性决策中的应用

q阶邻对模糊集(q-ROFS)是表达不确定信息的有用工具。随着参数q的增加,与直觉模糊集(IFS)和勾股模糊集(PFS)相比,q-ROFS具有更大的描述不确定信息的空间。本文扩展了优劣排序(SIR)方法,以解决q-ROF环境中的多属性决策(MADM)问题,称为q-ROF-SIR方法。在q-ROF-SIR方法中,引入了q阶邻对模糊数(q-ROFNs)的可能性度(PD)以提高偏好强度。此外,假设属性的权重未知,则构造q-ROF熵权重(q-ROF-EW)方法来确定属性权重。最后,验证了q-ROF-SIR方法的有效性和适用性。

更新日期:2021-01-24
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