论文信息 - Some types of generalized fuzzy filters of MTL-algebras

Some types of generalized fuzzy filters of MTL-algebras

The aim of this paper is to introduce the concepts of (∈, ∈, ∨q)-fuzzy Boolean filters and (∈, ∈, ∨q)-fuzzy MV-filters in MTL-algebras. Some characterizations of these kinds of generalized fuzzy filters are derived. Finally, the concept of (∈, ∈, ∨q)-fuzzy G-filters in MTL-algebras is introduced. It is proved that an (∈, ∈, ∨q)-fuzzy filter of MTL-algebras is Boolean if and only if it is both an (∈, ∈, ∨q)-fuzzy G-filter and an (∈, ∈, ∨q)-fuzzy MV-filter.

Jianming Zhan | Xueling Ma | Dajing Xiang

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