In this manuscript, the notions of interval-valued intuitionistic neutrosophic sets are introduced. The interval-valued intuitionistic neutrosophic graphs are also developed. The operations and properties of interval intuitionistic neutrosophic set and its graphs are established with suitable examples. For the applicability of developed results, a real-life example is illustrated according to the temperature variation and a climate data analysis under the interval intuitionistic neutrosophic environment. Finally, a comparative analysis is provided for analysing the proposed concept with other existing results.

中文翻译：

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区间直觉中智集及其在区间直觉中智图和气候分析中的应用

在本手稿中，介绍了区间值直觉中智集的概念。还开发了区间值直觉中智图。用适当的例子建立了区间直觉中智集的操作和性质及其图。为了使研究结果适用，根据区间直觉中智环境下的温度变化和气候数据分析，给出了一个真实的例子。最后，提供了比较分析，以分析提出的概念以及其他现有结果。