In the present communication, new entropy and divergence measures are developed for interval-valued intuitionistic fuzzy sets and compared it with the existing measures. Numerical result reveals that the proposed entropy measure attains the accurate classification, which illustrates their efficiency. Further, to cope with the multi-criteria decision-making problems with non-commensurable and conflicting criteria, an extended VIKOR method is developed under interval-valued intuitionistic environment. On the basis of proposed divergence measure, the particular measure of closeness of each alternative is calculated to the interval-valued intuitionistic fuzzy positive ideal solution. To illustrate the applicability of the proposed method, a multi-criteria decision-making problem of supplier selection is discussed under incomplete and uncertain information situation, which employs its advantages and feasibility.

中文翻译：

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区间值直觉模糊环境中基于信息量度的多准则决策问题

在当前的通信中，为区间值直觉模糊集开发了新的熵和散度度量，并将其与现有度量进行比较。数值结果表明，所提出的熵测度可以达到准确的分类，说明了其有效性。此外，为解决具有不可估量和冲突标准的多标准决策问题，在区间值直觉环境下开发了一种扩展的VIKOR方法。在提出的散度测度的基础上，针对区间值直觉模糊正理想解，计算出每个选择的接近度的特定测度。为了说明所提出方法的适用性，