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A novel trigonometric operation-based q-rung orthopair fuzzy aggregation operator and its fundamental properties

机译:一种基于三角运算的新型q级正交对模糊聚合算子及其基本性质

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The q-rung orthopair fuzzy sets (q-ROFSs) are a prominent idea to express the fuzzy information in the decision-making process and are the generalization of the existing intuitionistic fuzzy set and Pythagorean fuzzy set. The q-ROFSs can dynamically adapt the information by changing the parameter q >= 1based on the membership degree and therefore support more innumerable possibilities. Driven by these requisite characteristics, this paper aspires to present some sine trigonometric operations laws for q-ROFSs. The sine trigonometry function preserves the periodicity and symmetric about the origin, and hence, it satisfies the decision-maker preferences toward the evaluation of the objects. Associated with these laws, we define a series of new aggregation operators named as sine trigonometry weighted averaging and geometric operators to aggregate the q-rung orthopair fuzzy information. The fundamental relations between the proposed operators are also examined. Afterward, we present a group decision-making technique to solve the multiple attribute group decision-making problems based on proposed operators and illustrate with a numerical example to verify it. The superiors, as well as the advantages of the proposed operators, are also discussed in it. Lastly, the influence of the membership degrees on the operations has been investigated and found that when the parameter q increases from 2 to 4 and then from 4 to 7, then there is the certain change in the range of the score values.
机译:q-rung正交对模糊集(q-ROFSs)是表达决策过程中模糊信息的重要思想,是对现有直觉模糊集和勾股模糊集的推广。q-ROFS可以通过根据隶属度改变参数q >= 1来动态调整信息,从而支持更多的可能性。基于这些必要的特性,本文希望提出一些q-ROFS的正弦三角运算律。正弦三角函数保留了原点的周期性和对称性,因此,它满足了决策者对对象评估的偏好。与这些定律相关,我们定义了一系列新的聚合算子,命名为正弦三角加权平均和几何算子,用于聚合q级正交对模糊信息。还研究了所提出的算子之间的基本关系。然后,提出了一种基于所提算子的多属性群决策问题的群决策技术,并用数值算例进行了验证。其中还讨论了上级以及拟议运营商的优势。最后,研究了隶属度对运算的影响,发现当参数q从2增加到4,再从4增加到7时,分数值的范围发生了一定的变化。

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