论文标题
在多个标准决策中，概率犹豫模糊集的不确定性度量
Uncertainty measures for probabilistic hesitant fuzzy sets in multiple criteria decision making
论文作者
论文摘要
这项贡献对概率犹豫模糊集（PHFSS）的现有熵措施进行了批判性审查，并证明这些熵测量在某些情况下无法有效区分各种不同的PHFSS。在续集中，我们通过考虑与称为模糊性和非特异性的PHFE相关的两个不确定性方面，开发了一种新的公理框架，用于概率犹豫模糊元素（PHFE）的熵措施。对于每种不确定性，都会得出许多公式，以允许灵活地选择PHFE熵测量。此外，根据提出的PHFE熵测量，我们介绍了一些基于熵的距离测量，这些距离用于比较分析的一部分。
This contribution reviews critically the existing entropy measures for probabilistic hesitant fuzzy sets (PHFSs), and demonstrates that these entropy measures fail to effectively distinguish a variety of different PHFSs in some cases. In the sequel, we develop a new axiomatic framework of entropy measures for probabilistic hesitant fuzzy elements (PHFEs) by considering two facets of uncertainty associated with PHFEs which are known as fuzziness and nonspecificity. Respect to each kind of uncertainty, a number of formulae are derived to permit flexible selection of PHFE entropy measures. Moreover, based on the proposed PHFE entropy measures, we introduce some entropy-based distance measures which are used in the portion of comparative analysis.
