BCH-代数的拟结合Ω-模糊理想

摘要

引入了BCH-代数的拟结合Ω-模糊理想的概念,研究了它们的相关性质.给出了拟结合Ω-模糊理想的几个等价描述.研究了拟结合Ω-模糊理想的同态象与同态原象的性质,讨论了BCH-代数的拟结合模糊理想与拟结合Ω-模糊理想的相互构造,给出了BCH-代数的拟结合Ω-模糊理想与BCH-代数的积代数的拟结合Ω-模糊理想的关系.%Following an introduction to the notion of quasi-associative Ω-fuzzy ideals in BCH-algebras is introduced,their related properties are investigated,from which several equivalent depictions of quasi-associative Ω-fuzzy ideals are obtained.How to deal with the homomorphic image and inverse image of quasi-associative Ω-fuzzy ideals are studied.The relations between a quasi-associative Ω-fuzzy ideal in BCH-algebras and a quasi-associative Ω-fuzzy ideal in the product algebra of BCH-algebras are given as well.Using quasi-associative fuzzy ideals,quasi-associative Ω-fuzzy ideals are described.Conversely,quasi-associative fuzzy ideals are constructed by using quasi-associative Ω-fuzzy ideal.