基于模糊二元运算的模糊P-半单BCI-代数  

Fuzzy P-semisimple BCI-algebras based on fuzzy binary operation

作　　者：蒲义书[1] 陈露[1] 

机构地区：[1]陕西理工学院数学系,陕西汉中723000

出　　处：《宝鸡文理学院学报（自然科学版）》2007年第2期100-102,共3页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：陕西理工学院科研基金项目(SLG0423)

摘　　要：目的建立一种新的模糊BCI-代数。方法在BCI-代数上引入模糊运算及超模糊运算。结果新的模糊P-半单BCI-代数被建立,讨论了它的基本性质,给出了它的两种等价定义,并引入和研究模糊子代数。结论说明任一模糊P-半单BCI代数的模糊子代数,也是模糊P-半单BCI-代数。Aim To establish a new fuzzy BCI-algebras. Methods Fuzzy and hyperfuzzy operations are introduced to BCI-algebras. Results A new fuzzy P-semisimple BCI-algebras is established, whose basic properties are discussed, and the two equivalent definitions of this algebra are introduced. Meanwhile, the fuzzy subalgebra is investigated. Conclusion Every fuzzy subalgebra of a fuzzy P-semisimpie BCI-alegbras is also a fuzzy P-semisimple BCI-algebras.

关 键 词：P-半单BCI-代数 模糊二元运算 模糊P-半单BCI-代数 

分 类 号：O159[理学—数学]