关于实用离散随机变量和犹豫模糊集的注  

Remarks on practical discrete random variables and hesitant fuzzy sets

作　　者：吴义霞 李生刚[1] 张丽丽[2] WU Yi-xia;LI Sheng-gang;ZHANG Li-li(College of Mathematics and Statistics,Shaanxi Normal University,Xian 710062,China;School of Freshman,Xi'an Technological University,Xi'an 710021,China)

机构地区：[1]陕西师范大学数学与统计学院,西安710062 [2]西安工业大学新生学院,西安710021

出　　处：《兰州大学学报（自然科学版）》2023年第3期422-426,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(11771263);中央高校基本科研业务费专项资金项目(GK202105007);陕西省重点研发计划项目(2021GY-137);陕西师范大学2023年度教学改革研究项目(23JG45)。

摘　　要：例示格论在概念修补和刻画中的一种应用,给出了基于实数集上的通常序的2-型模糊集的定义,定义了实用离散随机变量,研究其序方面(包括实用离散随机变量的直观模糊集表示),给出了与偏序关系关联的犹豫模糊集的定义;研究其序方面(包括犹豫模糊集的运算以及犹豫模糊集的软集表示或2-型模糊集表示),构造了具有一定启发性的例子。This study exemplified an application of the lattice theory in concept amend and characterizing.The notion of type-2 fuzzy set was redefined relying on the ordinary order on the real number set.The notion of practical discrete random variable was defined and their order aspects,including intuitive representations of practical discrete random variables by using fuzzy sets,were studied;the notion of hesitant fuzzy set pertinent to the notion of partial order was redefined and their order aspects,including operations and representations of hesitant fuzzy sets by using soft sets or type-2 fuzzy sets,were studied.Some related examples which were illuminating in a degree were also constructed.

关 键 词：格 2-型模糊集 实用离散随机变量 犹豫模糊集 合情推理 

分 类 号：O159[理学—数学]