模糊子模度及其性质  

Fuzzy submodules degree and its related properties

作　　者：李卓栋 霍东华 LI Zhuodong;HUO Donghua(School of Mathematical Sciences,Mudanjiang Normal University,Mudanjiang 157012,China)

机构地区：[1]牡丹江师范学院数学科学学院,黑龙江牡丹江157012

出　　处：《湖北大学学报（自然科学版）》2023年第3期327-331,共5页Journal of Hubei University：Natural Science

基　　金：黑龙江省省属高等学校基本科研业务费科研团队项目(1451TD011);黑龙江省高等教育教学改革项目重点委托项目(SJGZ20200174);牡丹江师范学院国家级课题培育项目(GP2020005)资助。

摘　　要：将度的概念推广到模糊子模,利用模糊集的蕴涵算子,引入模糊子模度的概念,用于刻画模的模糊子集是模糊子模的程度.研究模糊子模度的等价刻画,和截集的关系以及在同态映射下,模糊子模度的性质.The concept of degree was extended to fuzzy submodules.Using the implication operator of fuzzy sets,the concept of fuzzy submodules degree was introduced to characterize the degree that the fuzzy subset of modules was fuzzy submodules.The equivalent characterization of fuzzy submodules degree,the relationship with cut set and the properties of fuzzy submodules degree under homomorphic mapping were studied.

关 键 词：模糊子模 蕴涵算子 模糊子模度 

分 类 号：O159[理学—数学]