区间值q-Rung正交模糊加权几何聚集算子及其在多准则决策中的应用*

Hongxu Li, Yang Yang, Yingchao Zhang
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引用次数: 5

摘要

区间值q阶正形模糊集是对q阶正形模糊集的一种推广,它为决策者在多准则决策问题中表达其偏好信息提供了一种更具延展性的方式。本文研究了基于区间值q阶正形模糊集的加权几何聚集算子,用于处理复杂的偏好信息。首先,对区间值q阶正交模糊加权几何算子进行了表征和研究。其次,结合区间q阶正交模糊加权几何算子对决策方案进行排序,建立了一种新的决策方法,并通过数值算例验证了该决策方法的有效性。
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Interval-Valued q-Rung Orthopair Fuzzy Weighted Geometric Aggregation Operator and its Application to Multiple Criteria Decision-Making*
Interval-valued q-rung orthopair fuzzy sets, which are a generalization of the q-rung orthopair fuzzy sets, provide decision makers an even more malleable way to express their preference information in multiple criteria decision-making problems. In this paper, the weighted geometric aggregation operator based on interval-valued q-rung orthopair fuzzy sets is investigated to handle complex preference information. First, the interval-valued q-rung orthopair fuzzy weighted geometric operator is characterized and investigated. Second, a novel decision-making method is established combing with the intervalvalued q-rung orthopair fuzzy weighted geometric operator to rank the decision-making alternatives, and the effectiveness of the decision-making method is verified by a numerical example.
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