高师理科学刊2025，Vol.45Issue(11)：7-13,7.DOI:10.3969/j.issn.1007-9831.2025.11.002
Z-numbers的综合加权距离度量
Comprehensive weighted distance measure for Z-numbers
摘要
Abstract
The Z-number is a concept proposed by Zadeh for handling information uncertainty and reliability.It includes fuzzy numbers A and B,as well as hidden probability distributions,allowing for simultaneous consideration of the fuzziness and reliability of information,making it suitable for complex decision-making problems.However,existing distance measurement methods for Z-numbers often convert them into classical fuzzy numbers,resulting in some loss of information,particularly the underutilization of information from hidden probability distributions.To address this issue,this paper proposes a new comprehensive weighted distance measurement method that combines Bhattacharyya distance to quantify the differences in hidden probability distributions between Z-numbers.Experimental results indicate that this method can more comprehensively reflect the information within Z-numbers,thereby improve the accuracy of decision-making.关键词
Z-number/最大香农熵/Bhattacharyya距离Key words
Z-number/maximum Shannon entropy/Bhattacharyya distance分类
管理科学引用本文复制引用
颜茜,郑文杰,晏力..Z-numbers的综合加权距离度量[J].高师理科学刊,2025,45(11):7-13,7.基金项目
国家自然科学基金项目(2023NSFSC0063) （2023NSFSC0063）
