关于FBZ-代数的一些结果  

Some Results on FBZ-Algebras

作　　者：邓方安[1] DENG Fang-an(School of Mathematics and Computer Science,Shanxi University of Technology,Hanzhong 723001,China)

机构地区：[1]陕西理工大学数学与计算机科学学院,陕西汉中723001

出　　处：《模糊系统与数学》2024年第4期21-26,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(12171022)。

摘　　要：本文进一步探讨了FBZ-代数的基本性质,刻画了FBZ-代数与BCI代数、模糊蕴涵(FI)代数及W_(d)-模糊蕴涵代数的关系;给出了FBZ-代数一个等价公理系统。最后,证明了FBZ-代数构成模糊蕴涵(FID)代数与W_(d)-模糊蕴涵代数的相关命题。In this article,we introduce the notion of FBZ-algebra and investigate its elementary properties.The relationship between FBZ-algebras,BCI-algebras,FI-algebras and W_(d)-Fuzzy implication algebras are characterized.Moreover,we also find an equivalent axiom system for FBZ-algebrs.Finally,the conditions under which FBZ-algebras form fuzzy implication(FI)algebras and W_(d)-fuzzy implication algebras are discussed,in addition,it is show that related propositions.

关 键 词：FBZ-代数 模糊蕴涵(FI)代数 Wd-模糊蕴涵代数 

分 类 号：O3[理学—力学] B52[哲学宗教—外国哲学]