منابع مشابه
On the Structure of Generalized Bl-algebras
A generalized BL-algebra (or GBL-algebra for short) is a residuated lattice that satisfies the identities x ∧ y = ((x ∧ y)/y)y = y(y\(x∧ y)). It is shown that all finite GBL-algebras are commutative, hence they can be constructed by iterating ordinal sums and direct products of Wajsberg hoops. We also observe that the idempotents in a GBL-algebra form a subalgebra of elements that commute with ...
متن کاملSome types of generalized fuzzy filters of BL-algebras
The aim of this paper is to introduce the notions of interval valued (∈,∈ ∨q)-fuzzy Boolean (implicative, positive implicative and fantastic) filters in BL-algebras and to investigate some related properties. Some characterizations of these generalized fuzzy filters are derived. Finally, the relations among these generalized fuzzy filters are discussed. It is proved that an interval valued (∈,∈...
متن کاملTwo Generalized Soft Intersection Filters in BL-algebras
In this paper, we introduce the concepts of two generalized soft intersection filters of BL-algebras. Some characterizations of these soft intersection filters are discussed. In particular, the relationships among these soft intersection filters are established. This provides a new soft algebraic tool in many uncertainties problems.
متن کاملOn (Semi)Topological $BL$-algebras
In last ten years many mathematicians have studied properties of BL-algebras endowed with a topology. For example A. Di Nola and L. Leustean cite{dn} studied compact representations of BL-algebras, L. C. Ciungu cite{ciu} investigated some concepts of convergence in the class of perfect BL-algebras, J. Mi Ko and Y. C. Kim cite{jun} studied relationships between closure operators and BL-algebras,...
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2015
ISSN: 2391-5455
DOI: 10.1515/math-2015-0060