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BCK-代数的模糊代数理想
引用本文:胡宝清,刘芳,何娟娟. BCK-代数的模糊代数理想[J]. 模糊系统与数学, 2005, 19(1): 44-48
作者姓名:胡宝清  刘芳  何娟娟
作者单位:武汉大学,数学与统计学院,湖北,武汉,430072;武汉大学,数学与统计学院,湖北,武汉,430072;武汉大学,数学与统计学院,湖北,武汉,430072
基金项目:Foundation for University Key Teacher by the Ministry of Education of China
摘    要:在有界可换BCK-代数上引入了Fuzzy代数理想的概念,给出了Fuzzy代数理想的某些特征,讨论了Fuzzy理想与Fuzzy代数理想的关系。最后描述了全体Fuzzy集的BCK-代数特征。

关 键 词:Fuzzy逻辑代数  有界可换BCK-代数  Fuzzy理想  Fuzzy代数理想

Fuzzy Algebraic Ideal in BCK-algebras
HU Bao-qing,LIU Fang,HE Juan-juan. Fuzzy Algebraic Ideal in BCK-algebras[J]. Fuzzy Systems and Mathematics, 2005, 19(1): 44-48
Authors:HU Bao-qing  LIU Fang  HE Juan-juan
Abstract:The aim of this paper is to introduce the notion of fuzzy algebraic ideal in bounded commutative BCK-algebras and investigate its properties. Author gives several characterizations of fuzzy algebraic ideal in bounded commutative BCK-algebras and discusses the relations between fuzzy ideal and fuzzy algebraic (ideal.) Finally, this paper describes BCK-algebra character of all fuzzy sets.
Keywords:Fuzzy Logical Algebras  Bounded Commutative BCK-algebra  Fuzzy Ideal  Fuzzy Algebraic (Ideal)
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