BL-代数的犹豫模糊滤子度  

The Measure of Fuzzy Filters on BL-Algebras

作　　者：姜曼[1] 常在斌 JIANG Man;CHANG Zai-bin(School of Public Courses,Xi'an Traffic Engineering Institute,Xi'an 710300,China)

机构地区：[1]西安交通工程学院数学教研室,陕西西安710300

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

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.

关 键 词：BL-代数 滤子 犹豫模糊滤子 犹豫模糊滤子度 

分 类 号：O159[理学—数学]