BCH-代数的拟结合Ω-模糊理想(英文)

Quasi-associativeΩ-fuzzy ideals of BCH-algebras

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.