Fuzzy filters and fuzzy prime filters of bounded Rℓ-monoids and pseudo BL-algebras
نویسندگان
چکیده
منابع مشابه
On fuzzy filters of pseudo BL-algebras
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 f...
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The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. The sets of provable formulas in corresponding inference systems from the point of view of uncertain information can be described by fuzzy filters of those algebraic semantics. Bounded residuated lattice ordered monoids (R`-monoids) are a common generalization of pseudo ...
متن کاملOn (∈,∈∨ q)-Fuzzy Filters of Pseudo-BL Algebras
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 fi...
متن کاملInterval valued (∈,∈∨ q)-fuzzy filters of pseudo BL-algebras
We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued (∈,∈ ∨ q)-fuzzy filters of pseudo BL-algebras and investigate some of their related properties. Some characterization theorems of these generalized interval valued fuzzy filters are derived. The relationship among these ge...
متن کاملSome results on fuzzy semi maximal filters in BL-algebras
In this paper, first, the concept of the fuzzy semi maximal filters in BL-algebras has been introduced, then several properties of fuzzy semi maximal filters have been studied and its relationship with other fuzzy filters including fuzzy (positive)implicative fuzzy filters and fuzzy fantastic filters are investigated. In the following, using the level subsets of fuzzy sets in a BL-algebra...
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ژورنال
عنوان ژورنال: Information Sciences
سال: 2008
ISSN: 0020-0255
DOI: 10.1016/j.ins.2008.05.005