The proof and generalization of Hamming distance measure in the Pythagorean fuzzy environment(毕达哥拉斯模糊环境下海明距离测度的证明及推广)

距离测度是毕达哥拉斯(Pythagorean)模糊决策的一个基本概念,其在用权重向量进行有序集成运算、有序加权距离和相似度构造时具有重要作用。然而,早期发表于International Journal of Intelligent Systems中的文章Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets,在首次引入海明距离测度时,对距离公理化条件的证明存在不妥。为此,通过反例和分析指出了其在证明公理化条件的有界性和三点不等式时存在的错误,并统筹考虑犹豫度的绝对值项和其他绝对值项...

Full description

Bibliographic Details
Main Author: 李丹(LI Dan)
Format: Article
Language:zho
Published: Zhejiang University Press 2023-07-01
Series:Zhejiang Daxue xuebao. Lixue ban
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2023.04.002