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On admissible total orders for typical hesitant fuzzy consensus measures
International Journal of Intelligent Systems ( IF 7 ) Pub Date : 2021-09-13 , DOI: 10.1002/int.22624
Monica Matzenauer 1 , Hélida Santos 2 , Benjamín Bedregal 3 , Humberto Bustince 4 , Renata Reiser 1
Affiliation  

In this paper, we discussconsensus measures for typical hesitant fuzzy elements (THFE), which are the finite and nonempty fuzzy membership degrees under the scope of typical hesitant fuzzy sets (THFS). In our approach, we present a model that formally constructs consensus measures by means of aggregations functions, fuzzy implication-like functions and fuzzy negations, using admissible orders to compare the THFE, and also providing an analysis of consistency on them. Our theoretical results are applied into a problem of decision making with multicriteria illustrating our methodology to achieve consensus in a group of experts working with THFS.

中文翻译:

典型犹豫模糊共识测度的可容许总阶数

在本文中,我们讨论了典型犹豫模糊元素(THFE)的共识度量,即典型犹豫模糊集(THFS)范围内的有限和非空模糊隶属度。在我们的方法中,我们提出了一个模型,该模型通过聚合函数、模糊类蕴涵函数和模糊否定来正式构建共识度量,使用可接受的顺序来比较 THFE,并提供对它们的一致性分析。我们的理论结果应用于多标准决策问题,说明了我们在与 THFS 合作的专家组中达成共识的方法。
更新日期:2021-09-13
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