摘要
本文在可加的φ-模糊偏好结构下,研究了模糊全区间序结构的充要条件。首先,在旋转不变t-模下,对模糊全区间序结构与P_(°T)I_(°T)P⊆P、(P_(°T)I)∩_(T)(I_(°T)P^(-1))=Ø之间的关系进行了讨论;其次,提出一个新的条件,并在任意t-模下,研究了其与模糊全区间序结构之间的关系;最后,得到了模糊全区间序结构的一些充要条件。
In this paper,we investigate necessary and sufficient conditions of fuzzy total interval order structures in the setting of additiveφ-fuzzy preference structure.Firstly,under the condition that the t-norms involved are rotation invariant,we discuss the relationships betweeen fuzzy total interval order structures and either of the inclusion P∘TI∘TP⊆P or the equality(P∘TI)∩_(T)(I∘TP^(-1))=Ø.Secondly,we put forward a new condition,and discuss the relationship between the condition and fuzzy total interval order structures based on any t-norms.Finally,we obtain some necessary and sufficient conditions of fuzzy total interval order structures.
作者
常萌
武彩萍
CHANG Meng;WU Cai-ping(College of Mathematics,Taiyuan University of Technology,Yuci 030600,China)
出处
《模糊系统与数学》
北大核心
2023年第4期73-80,共8页
Fuzzy Systems and Mathematics
基金
山西省研究生教育改革课题(2022YJJG074)
