摘要
提出BL-代数的犹豫模糊滤子度的概念,给出其等价刻画,并且用犹豫模糊滤子度来刻画一个BL-代数的犹豫模糊子集是犹豫模糊滤子的程度.对于BL-代数的一个犹豫模糊集,建立其(强)截集构成的滤子与其犹豫模糊滤子度之间的关系.讨论了BL-代数的犹豫模糊子集的交、直积的犹豫模糊滤子度,以及犹豫模糊子集的同态像与原像的犹豫模糊滤子度.
The concept of the measure of hesitant fuzzy filters on BL-algebra is proposed,and its equivalent characterizations are given,which could measure the degree that a hesitant fuzzy subset of BL-algebras is a hesitant fuzzy filter of BL-algebras.For a hesitant fuzzy set of BL-algebras,the relationship between the filter constructed by its(strong)cut set and the measure of its hesitant fuzzy flter is established.This paper discusses the measures of hesitant fuzzy filters of BL-algebra the intersection and the direct product of hesitant fuzzy subsets,and investigate the measures of hesitant fuzzy filters of the image and preimage of a hesitant fuzzy subset under a homomorphism.
作者
姜曼
常在斌
JIANG Man;CHANG Zai-bin(School of Public Courses,Xi'an Traffic Engineering Institute,Xi'an 710300,China)
出处
《数学的实践与认识》
2023年第6期225-233,共9页
Mathematics in Practice and Theory
