软直觉模糊集的相似、距离和熵测度

摘要

软直觉模糊集之间的相似性可以用相似测度进行度量.通过基例指出以往文献中所提出的相似测度不合理,进而给出一种更为合理的相似测度,并将纠正后的相似测度应用于震后隧道安全状况的判定;引入软直觉模糊集的距离测度、熵测度的公理化定义以及相应的计算公式;给出在参数集合不同的情况下,软直觉模糊集之间相似性的度量方法.%Similarity measure can be used to calculate the similarity between two intuitionistic fuzzy soft sets.We give counterexamples to show that the similarity measures presented in some literatures may be unreasonable,and thus we propose an improved similarity measure.Furthermore,the new similarity measure is applied to the determination of the security situation of tunnels after earthquakes.The axiomatic definitions of distance measure and entropy are also introduced.Some formulae are presented to calculate these measures.At the same time,some formulae are given to evaluate the similarity between two intuitionistic fuzzy soft sets with different parameter sets.