Geodesic
On (∈, ∈ ∨ q)-Fuzzy Filters of Pseudo-BL Algebras
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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The aim of this paper is to introduce the notion of (∈, ∈ ∨ q)-fuzzy (implicative, MV - and G -) filters of pseudo- BL algebras and to investigate some of their related properties. Some characterization theorems of these generalized fuzzy (implicative) filters are derived. The relationship among these generalized fuzzy filters of pseudo- BL algebras is considered. It is proved that an (∈, ∈ ∨ q)-fuzzy filter of a pseudo- BL algebra is an (∈, ∈ ∨ q)-fuzzy implicative filter if and only if it is both an (∈, ∈ ∨ q)-fuzzy MV -filter and an (∈, ∈ ∨ q)-fuzzy G -filter. Finally, we consider the concept of implication-based fuzzy implicative filters of pseudo- BL algebras, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.
Classification : 06D35, 03G12, 03B52. 
@article{BMMS_2010_33_1_a3,
     author = {Jianming Zhan and Young Bae Jun and Wies law A. Dudek},
     title = {On (\ensuremath{\in}, \ensuremath{\in} \ensuremath{\vee} {q)-Fuzzy} {Filters} of {Pseudo-BL} {Algebras}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2010},
     volume = {33},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_1_a3/}
}
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Jianming Zhan; Young Bae Jun; Wies law A. Dudek. On (∈, ∈ ∨ q)-Fuzzy Filters of Pseudo-BL Algebras. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2010_33_1_a3/