This study is inspired by those of Huang et al. (Soft Comput. 25, 2513--2520, 2021) and Wang et al. (Inf. Sci. 179, 3026--3040, 2009) in which some ranking techniques for interval-valued intuitionistic fuzzy numbers (IVIFNs) were introduced. In this study, we prove that the space of all IVIFNs with the relation in the method for comparing any two IVIFNs based on a score function and three types of entropy functions is a complete chain and obtain that this relation is an admissible order. Moreover, we demonstrate that IVIFNs are complete chains to the relation in the comparison method for IVIFNs on the basis of score, accuracy, membership uncertainty index, and hesitation uncertainty index functions.
翻译：这项研究的灵感来自黄等人公司(Soft Comput. 25, 2513-2520, 2021)和Wang等人公司(Inf. Sci. 179, 3026-3040, 2009)的研究,其中采用了一些时间价值直觉模糊数字(IVIFNs)的分级技术,在这项研究中,我们证明,根据得分、准确性、成员不确定性指数和犹豫不定指数等功能,所有国际增值新军的空间与比较任何两个国际增值新军的方法之间的关系是一个完整的连锁体,这种关系是可以接受的;此外,我们证明,根据分数、准确性、成员不确定性指数和犹豫不定指数等功能,国际增值新军是国际增值新军比较方法关系的完整链。
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