摘要
The authors introduce the notions of （∈, ∈ ∨q）-fuzzy Boolean （implicative, positive implicative, and fantastic） filters in BL-algebras, present some characterizations on these generalized fuzzy filters, and describe the relations among these generalized fuzzy filters. It is proved that an （∈, ∈ ∨q）fuzzy filter in a BL-algebra is Boolean （implicative） if and only if it is both positive implicative and fantastic.
基金
the Key Science Foundation of Education Committee of Hubei Province,China,under Grant No.D200729003
