否定非对合剩余格上BF-理想的BF-平移与BF-扩张理想  

BF-translation and BF-extension Ideal of BF-ideals in Negative Non-involutive Residuated Lattices

作　　者：刘春辉 白彦辉 LIU Chunhui;BAI Yanhui(School of Education Science,Chifeng University,Chifeng 024001,Inner Mongolia;School of Mathematics and Computer Science,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）》2024年第1期82-89,共8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(NJZY22146)。

摘　　要：进一步研究否定非对合剩余格的双极值模糊理想(简称BF-理想)问题,引入BF-理想的BF-平移、BF-扩张理想和BF-乘积等概念并考察它们的性质特征和相互关系,为进一步揭示否定非对合剩余格的结构特征拓展研究思路.The problem of bipolar fuzzy ideals(BF-ideal for short)is further studied in negative non-involutive residuated lattices.The concepts of BF-translation,BF-extension ideal and BF-multiplication of BF-ideals are introduced with their properties and relations investigated.This work further expands the way for revealing the structural characterizations of negative non-involutive residuated lattices.

关 键 词：模糊逻辑 否定非对合剩余格 BF-理想 BF-平移 BF-扩张理想 

分 类 号：O141.1[理学—数学] O153.1[理学—基础数学]