TY - EJOU
AU - Zhang, Fangwei
AU - Zhao, Yi
AU - Ye, Jun
AU - Wang, Shuhong
AU - Hu, Jingyi
TI - Novel Distance Measures on Hesitant Fuzzy Sets Based on Equal-Probability Transformation and Their Application in Decision Making on Intersection Traffic Control
T2 - Computer Modeling in Engineering \& Sciences
PY - 2023
VL - 135
IS - 2
SN - 1526-1506
AB - The purpose of this study is to reduce the uncertainty in the calculation process on hesitant fuzzy sets (HFSs). The innovation of this study is to unify the cardinal numbers of hesitant fuzzy elements (HFEs) in a special way. Firstly, a probability density function is assigned for any given HFE. Thereafter, equal-probability transformation is introduced to transform HFEs with different cardinal numbers on the condition into the same probability density function. The characteristic of this transformation is that the higher the consistency of the membership degrees in HFEs, the higher the credibility of the mentioned membership degrees is, then, the bigger the probability density values for them are. According to this transformation technique, a set of novel distance measures on HFSs is provided. Finally, an illustrative example of intersection traffic control is introduced to show the usefulness of the given distance measures. The example also shows that this study is a good complement to operation theories on HFSs.
KW - Hesitant fuzzy sets; equal-probability mapping; distance measure; intersection traffic control; cardinality theory
DO - 10.32604/cmes.2022.022431