Multi Expert‐Multi Criteria Decision Making (ME‐MCDM) problems have been well explored on hesitant fuzzy environments dealing with membership degrees as subsets which do not necessarily have the same cardinality. Admissible (total) orders collaborate by reducing the collapse in the ranking of alternatives related to preference relations. In such context, three classes of admissible orders are presented in a non‐restrictive way, integrating the concepts of linearity and cardinality and providing support to the comparison between two typical hesitant fuzzy elements. In the sense of hesitant fuzzy logic, the study of fuzzy operators and their main properties is extended considering the admissible linear orders. Namely, the typical hesitant fuzzy aggregation functions, negations and implication functions are discussed mainly related to their (iso/anti)tonicity properties w.r.t. these admissible orders. An algorithmic procedure is introduced illustrating our strategy to solve an ME‐MCDM problem, by selecting a Computer Integrating Manufacturing software and making use of the achieved theoretical results.

中文翻译：

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典型的犹豫模糊含意上允许的总订单策略应用于决策问题

在将隶属度作为子集处理的犹豫的模糊环境中，已经很好地探索了多专家-多准则决策（ME-MCDM）问题，但不一定具有相同的基数。允许（总计）订单通过减少与偏好关系相关的替代方案的排名崩溃来进行协作。在这种情况下，以非限制性的方式提出了三类可允许的阶次，它们整合了线性和基数的概念，并为两个典型的犹豫模糊元素之间的比较提供了支持。从犹豫的模糊逻辑的意义上，考虑允许线性阶数扩展了对模糊算子及其主要性质的研究。即，典型的犹豫模糊聚集函数，否定和蕴涵函数的讨论主要与这些允许顺序的（等/反）等张性有关。通过选择一个计算机集成制造软件并利用所获得的理论结果，介绍了一种算法程序，说明了我们解决ME-MCDM问题的策略。