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BCI-代数的Ω-模糊p-理想

         

摘要

The notion of Ω-fuzzy p-ideal in BCI-algebra is introduced, and their related properties are investiga-ted. Using fuzzyp-ideals, Ω-fuzzy p-ideals are described. Conversely, we construction of fuzzy p-ideals is done by application of Ω-fuzzy p-ideal. How tc deal with the homomorphic image and inverse image of an Ω-fuzzy p-ideals are studied. The characterization of Ω-fuzzy p-ideals by their level p-ideals is discussed. The relations between an Ω-fuzzy p-ideal in BCI-algebras and an Ω-fuzzy p-ideal in the product algebra of BCI-algebras are investigated.%引入了BCI-代数的Ω-模糊p-理想的概念,研究了它们的相关性质.给出了BCI-代数的模糊p-理想与Ω-模糊p-理想的相互构造,研究了Ω-模糊p-理想的同态象与同态原象的性质;通过Ω-模糊p-理想的水平p-理想,讨论了BCI-代数的Ω-模糊p-理想的刻画;研究了BCI-代数的Ω-模糊p-理想与BCI-代数的积代数的Ω-模糊p-理想的关系.

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