泛逻辑学中UB代数系统的广义fuzzy滤子  

Generalized Fuzzy Filters of UB Algebras Systems in Universal Logic

作　　者：刘春辉[1] 

机构地区：[1]赤峰学院初等教育学院,内蒙古赤峰024001

出　　处：《模糊系统与数学》2011年第2期13-20,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10371106)

摘　　要：将区间值fuzzy集的概念应用于理想状态(广义相关系数h=0.5,广义自相关系数k=0.5)下泛逻辑学所对应的代数系统——UB代数,引入区间值(∈,∈∨q)-fuzzy滤子和区间值(∈,∈∨q)-fuzzy关联滤子的概念并研究它们的性质。获得了UB代数的这两类广义fuzzy滤子的若干等价刻画,证明了区间值(∈,∈∨q)-fuzzy关联滤子的扩张定理。In this paper,we introduced notions of interval valued（∈,∈∨q）-fuzzy filters and interval valued（∈,∈∨q）-fuzzy implication filters and discussed their properties by applying the concept of interval valued fuzzy sets to UB algebras for universal logic in ideal condition（the generalized correlative coefficient h=0.5 and the generalized self-correlative coefficient k=0.5）.Several equivalent characterizations of the two kinds of generalized fuzzy filters of UB algebras are obtained.An extension theorem of interval valued（∈,∈∨q）-fuzzy implication filters is proved.

关 键 词：泛逻辑学 UB代数系统 区间值(∈ ∈∨q)-fuzzy(关联)滤子 扩张定理 

分 类 号：O141[理学—数学] O153[理学—基础数学]