基于结构元理论的模糊数可能度排序方法  

Possibility Degree Methods for Ranking Fuzzy Numbers Based on Structured Element

作　　者：杨洋[1] 任燕[2] YANG Yang;REN Yan(Faculty of Science,Liaoning Technical University,Fuxin 123000,Liaoning,China;School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,Henan,China)

机构地区：[1]辽宁工程技术大学理学院,辽宁阜新123000 [2]河南理工大学数学与信息科学学院,河南焦作454000

出　　处：《兰州文理学院学报（自然科学版）》2024年第5期14-21,共8页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：简化了区间数比较的可能度公理,提出了模糊数比较的可能度公理.基于结构元理论,定义了模糊数的减法型可能度、除法型可能度.通过8组模糊数集,对4个可能度模型进行比较分析,以说明减法型可能度和除法型可能度的性能.This paper simplifies possibility degree axiom of inter numbers and proposes possibility degree axiom of fuzzy numbers because of the complexity of fuzzy numbers themselves and their operations.Subtraction-type possibility degree and division-type possibility degree of fuzzy numbers are defined based on the structured element theory.In order to illustrate the performance of subtraction-type possibility degree and division-type possibility degree,a comparative analysis is made on the four possibility degree models through eight sets of fuzzy numbers.

关 键 词：结构元 模糊数 可能度 减法型可能度 除法型可能度 

分 类 号：O159[理学—数学]