Results 141 to 150 of about 831 (158)

Some results on topological BL-algebras

2021
Summary: In this paper, we generalize the concepts of para and quasi topological MV-algebras, which was first introduced by \textit{M. Najafi} et al. [Fuzzy Sets Syst. 313, 93--104 (2017; Zbl 1393.06012)], to BL-algebras as para and quasi topological BL-algebras and elaborate these concepts via some examples.
Haghani, Farhad Khaksar, Alinaghian, Fateme, Heidarian, Shahram   +2 more
openaire   +1 more source

BL-algebra of fractions and maximal BL-algebra of quotients

Soft Computing, 2004
The authors introduce the concepts of BL-algebra of multipliers, BL-algebra of fractions and maximal BL-algebra of quotients for a BL-algebra, so extending the analogous notions for an MV-algebra given in their previous paper [J. Mult.-Val. Log. Soft Comput. 10, No.~4, 363--383 (2004; Zbl 1069.06006)].
Buşneag, Dumitru, Piciu, Dana
openaire   +1 more source

Generalization of integral filters in BL-algebras and n-fold integral BL-algebras

Afrika Matematika, 2014
The authors introduce the notion of \(n\)-fold integral filters in BL-algebras and determine the relationship between this notion and other types of \(n\)-fold filters in BL-algebras. Moreover, they introduce the notions of \(n\)-fold integral BL-algebras and \(n\)-fold obstinate BL-algebras.
Paad, Akbar, Borzooei, Rajab Ali
openaire   +1 more source

Varieties of BL-algebras

Soft Computing, 2005
This paper is an overview on the lattice Sub(BL) of the subvarieties of the variety BL of the BL-algebras. The authors describe the most important sublattices of Sub(BL). In Section 3 they deal with the lattice of subvarieties of the join of the varieties of Wajsberg algebras, Gödel algebras and Product algebras.
Di Nola, A., Esteva, F., Godo, L., Montagna, F.   +3 more
openaire   +2 more sources

On derivations of pseudo-BL algebra

2022
We know that Pseudo-BL algebras are a natural generalization of BL-algebras and of pseudo-MV algebras. In this paper, the notions of five different types of derivations on a pseudo-BL algebra as generalizations of derivations of a BL-algebra are introduced.
Rahnama, S., Anvariyeh, Seid M., Mirvakili, S., Davvaz, B.   +3 more
openaire   +2 more sources

Generalized BL-algebras

2006
A generalized BL-algebra (or GBL-algebra for short) is a residuated lattice that satisfies the identities x boolean AND y = ((x boolean AND y)/y)y = y(y\(x boolean AND 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.
JIPSEN P., MONTAGNA F.
openaire   +2 more sources

Topology on BL-algebras

Fuzzy Sets and Systems, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zahiri, O., Borzooei, R. A.
openaire   +1 more source

BL-algebras defined by an operator

2022
Summary: In this paper, Sheffer stroke BL-algebra and its properties are investigated. It is shown that a Cartesian product of two Sheffer stroke BL-algebras is a Sheffer stroke BL-algebra. After describing a filter of Sheffer stroke BL-algebra, a congruence relation on a Sheffer stroke BL-algebra is defined via its filter, and quotient of a Sheffer ...
Katican, Tugce, Oner, Tahsin, Saeid, Arsham Borumand   +2 more
openaire   +2 more sources

Poset product and BL-algebras

Fuzzy Sets and Systems, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Busaniche, Manuela, Gomez, Conrado Javier   +1 more
openaire   +2 more sources

Multiplier in BL-algebras

2014
In this paper, we introduce the notion of multiplier in ܤܮ -algebra and study relationships between multipliers and some special mappings, likeness closure operators, homomorphisms and (,ڀሻ -derivations in ܤܮ -algebras. We introduce the concept of idempotent multipliers in BL-algebra and weak congruence and obtain an interconnection between idempotent ...
Tayebi Khorami, R., Borumand Saeid, A.
openaire   +1 more source