As a generalization of the interval‐valued intuitionistic fuzzy sets, a consciousness of interval‐valued q ‐rung orthopair fuzzy sets (IV q ‐ROFSs) is a robust and trustworthy tool to fulfill the imprecise information with an adaptation of the manageable parameter q≥1 . However, the ranking of any interval‐valued numbers is very valuable for interval‐valued decision‐making problems. Possibility degree measure is a worthy tool to manage the degree of possibility of one object over the other. Driven by these requisite characteristics, it is fascinating to manifest the possibility degree of comparison between two IV q ‐ROFSs, and an innovative method is then encouraged to rank the given numbers. Few properties are checked to explain their features and exhibited the advantages of it over the existing possibility measures with some counterintuitive examples. Later on, we consider the multiattribute group decision making (MAGDM) method and embellish it with numerical examples, to rank the alternatives. Several numerical examples are implemented to test the superiority of the stated MAGDM method and to confer its more manageable and adaptable nature.

中文翻译：

---

决策中区间值q-rung orthopair模糊集的一种新的可能性度测度

作为区间值直觉模糊集的推广，区间值 q-rung orthopair 模糊集（IV q -ROFSs）的意识是一种鲁棒且值得信赖的工具，可以通过适应可管理参数 q≥ 1 . 然而，任何区间值数字的排序对于区间值决策问题都非常有价值。可能性程度度量是管理一个对象相对于另一个对象的可能性程度的有价值的工具。在这些必要特征的驱动下，展示两个 IV q ‐ROFS 之间比较的可能性程度非常有趣，然后鼓励采用创新方法对给定数字进行排序。很少有属性被检查来解释它们的特征，并通过一些违反直觉的例子展示了它相对于现有可能性措施的优势。稍后，我们考虑多属性群决策（MAGDM）方法并用数值示例对其进行修饰，以对备选方案进行排名。实施了几个数值例子来测试所述 MAGDM 方法的优越性，并赋予其更易于管理和适应的性质。