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基于8种常用蕴涵算子上的模糊布尔代数
引用本文:陈华新. 基于8种常用蕴涵算子上的模糊布尔代数[J]. 江南大学学报(自然科学版), 2012, 11(2): 243-247
作者姓名:陈华新
作者单位:宜兴技师学院旅游商贸系,江苏宜兴,214206
摘    要:在文献[1]的基础上,利用不等式的刻画方法,给出8种常用的R-蕴涵算子下的R-模糊布尔代数的8种等价形式,推广了现有相应模糊代数的结果,丰富了模糊代数的理论成果。

关 键 词:布尔代数  模糊布尔代数  R-模糊布尔代数  蕴涵算子

Fuzzy Boolean Algebras Based on Eight Familiar Kinds of Implication Operator
CHEN Hua-xin. Fuzzy Boolean Algebras Based on Eight Familiar Kinds of Implication Operator[J]. Journal of Southern Yangtze University:Natural Science Edition, 2012, 11(2): 243-247
Authors:CHEN Hua-xin
Affiliation:CHEN Hua-xin(Department of Trading,Yixing Technician Institute,Yixing 214206,China)
Abstract:Based on the work of "Fuzzy Boolean Algebras Based on Implication Operator",present work gives eight kinds of equivalent forms of fuzzy Boolean algebras based on familiar eight kinds of implication operator by using inequalities characterizatian method.This paper promotes the results of the corresponding fuzzy algebra,and enriches riches theoretical results of fuzzy algebra.
Keywords:Boolean algebra  fuzzy Boolean algebra  R-fuzzy Boolean algebra  implication operator
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