The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are introduced,several appropriate examples are provided,and their some properties are investigated.The relations among fuzzy ideal,fuzzy H-ideal,...The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are introduced,several appropriate examples are provided,and their some properties are investigated.The relations among fuzzy ideal,fuzzy H-ideal,fuzzy dot ideal and fuzzy dot H-ideals in BCH-algebras are discussed,several equivalent depictions of fuzzy dot ideal are obtained.How to deal with the homomorphic image and inverse image of fuzzy dot ideals(fuzzy dot H-ideals)are studied.The relations between a fuzzy dot ideal(fuzzy dot H-ideal)in BCH-algebras and a fuzzy dot ideal(fuzzy dot H-ideal)in the product algebra of BCH-algebras are given.展开更多
基金Supported by the special item of Key Laboratory of Education Bureau of Sichuan Province(2006ZD050)
文摘The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are introduced,several appropriate examples are provided,and their some properties are investigated.The relations among fuzzy ideal,fuzzy H-ideal,fuzzy dot ideal and fuzzy dot H-ideals in BCH-algebras are discussed,several equivalent depictions of fuzzy dot ideal are obtained.How to deal with the homomorphic image and inverse image of fuzzy dot ideals(fuzzy dot H-ideals)are studied.The relations between a fuzzy dot ideal(fuzzy dot H-ideal)in BCH-algebras and a fuzzy dot ideal(fuzzy dot H-ideal)in the product algebra of BCH-algebras are given.