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fuzzy filters
By using this new idea, the notion of interval valued (∈, ∈ ∨q)-fuzzy filters in BL-algebras which is a generalization of fuzzy filters of BL-algebras, is defined, and related properties are investigated.
      
In this paper, we introduce the notions of interval valued $${(\in,\in\vee q)}$$-fuzzy filters and interval valued $${(\in,\in\vee q)}$$ -fuzzy Boolean (implicative) filters in R0-algebras and investigate some of their related properties.
      
Some characterization theorems of these generalized fuzzy filters are derived.
      
In this paper we introduce and study new concepts of convergence and adherent points for fuzzy filters and fuzzy nets in the light of the Q-relation and the Q-neighborhood of fuzzy points due to Pu and Liu [28].
      
We show that there is a relation between the convergence of fuzzy filters and the convergence of fuzzy nets similar to the one which exists between the convergence of filters and the convergence of nets in topological spaces.
      
An answer to the Jun-Shim-Lele's open problem on the fuzzy filters
      
In this note, a negative answer to the open problem of Jun, Shim and Lele on fuzzy filters of BCI-algebras is given, a necessary and sufficient condition, under which the open problem has a positive answer, is provided.
      
Furthermore, we give two properties of fuzzy filters of BCI-algebras which generalize some results of Jun, Shim and Lele.
      
On ($$\in, \in \vee q$$)-Fuzzy Filters of BL-Algebras
      
 

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