双极值模糊子格  

Bipolar Fuzzy Sublattices

作　　者：刘春辉 白彦辉 秦学成 LIU Chunhui;BAI Yanhui;QIN Xuecheng(Department of Education Science,Chifeng University,Chifeng 024001,Inner Mongolia;Department of Mathematics and Statistics,Chifeng University,Chifeng 024001,Inner Mongolia)

机构地区：[1]赤峰学院教育科学学院,内蒙古赤峰024001 [2]赤峰学院数学与计算机科学学院,内蒙古赤峰024001

出　　处：《四川师范大学学报（自然科学版）》2023年第1期78-82,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：内蒙古自治区高等学校科学研究项目(NJZY18206、NJZY21138和NJZY22146)。

摘　　要：将双极值模糊集的概念与格相结合,引入格的双极值模糊子格的概念并考察其性质.证明双极值模糊子格的双极值模糊交集、同态像和同态原像也是双极值模糊子格.同时,给出双极值模糊子格的双极值模糊并集成为双极值模糊子格的条件.In this paper, by combining bipolar fuzzy sets and lattices, the concept of bipolar fuzzy sublattices is introduced and its properties are investigated. It is proved that bipolar fuzzy intersection of some bipolar fuzzy sublattices, homomorphism image and inverse image of a bipolar fuzzy sublattice are also bipolar fuzzy sublattice. At the same time, a condition that makes bipolar fuzzy union of some bipolar fuzzy sublattices to be a bipolar fuzzy sublattice is given.

关 键 词：格 双极值模糊集 双极值模糊子格 同态 

分 类 号：O141.1[理学—数学] O153.1[理学—基础数学]