Novel Distance Measures on Hesitant Fuzzy Sets Based on Equal-Probability Transformation and Their Application in Decision Making on Intersection Traffic Control  

作　　者：Fangwei Zhang Yi Zhao Jun Ye Shuhong Wang Jingyi Hu 

机构地区：[1]Naval Architecture and Port Engineering College,Shandong Jiaotong University,Weihai,264209,China [2]College of Transport and Communications,Shanghai Maritime University,Shanghai,201306,China [3]College of Automotive and Traffic Engineering,Nanjing Forestry University,Nanjing,210037,China [4]School of Civil and Environmental Engineering,Ningbo University,Ningbo,315211,China [5]School of Business,National University of Singapore,118414,Singapore [6]Durham Law School,Durham University,Durham,DH13LE,UK

出　　处：《Computer Modeling in Engineering & Sciences》2023年第5期1589-1602,共14页工程与科学中的计算机建模（英文）

基　　金：supported by Shanghai Pujiang Program (No.2019PJC062);the Natural Science Foundation of Shandong Province (No.ZR2021MG003);the Research Project on Undergraduate Teaching Reform of Higher Education in Shandong Province (No.Z2021046).

摘　　要：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.

关 键 词：Hesitant fuzzy sets equal-probability mapping distance measure intersection traffic control cardinality theory 

分 类 号：O159[理学—数学] O225[理学—基础数学]