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

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.