摘要
本文在伪EQ-代数上提出了三类混合广义态,分别为Ⅰ-型混合广义Bosbach态、Ⅱ-型混合广义Bosbach态以及混合广义Riecan态.研究了这三类混合广义态的性质,给出了Ⅰ-型和Ⅱ-型混合广义Bosbach态的等价刻画,讨论了混合广义态与广义态之间的关系,并证明了在一定条件下保序Ⅰ-型混合广义Bosbach态的核是前滤子、Ⅱ-型混合广义Bosbach态的核是奇异前滤子.
In this article,three types of hybrid generalized states on pseudo EQ-algebras were proposed,namely hybrid generalized Bosbach states of typeⅠ,hybrid generalized Bosbach states of typeⅡ,and hybrid generalized Rie cˇan states.The properties of these three types of hybrid generalized states were investigated.The equivalent characterizations of hybrid generalized Bosbach states of typeⅠand hybrid generalized Bosbach states of typeⅡwere given.The relationships between hybrid generalized states and generalized states were discussed.And it has been demonstrated that under certain conditions,the kernel of the order-preserving hybrid generalized Bosbach states of typeⅠare prefilters,while the kernel of the hybrid generalized Bosbach states of typeⅡare fantastic prefilters.
作者
左卫兵
孙会茹
ZUO Wei-bing;SUN Hui-ru(College of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)
出处
《模糊系统与数学》
北大核心
2025年第1期1-10,共10页
Fuzzy Systems and Mathematics
基金
河南省自然科学基金资助项目(152300410112)
