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(M,N)-Soft Intersection BL-Algebras and Their Congruences [PDF]

open access: yesThe Scientific World Journal, 2014
The purpose of this paper is to give a foundation for providing a new soft algebraic tool in considering many problems containing uncertainties. In order to provide these new soft algebraic structures, we discuss a new soft set-(M, N)-soft intersection ...
Xueling Ma, Hee Sik Kim
doaj   +2 more sources

On Fuzzy Ideals of BL-Algebras [PDF]

open access: yesThe Scientific World Journal, 2014
In this paper we investigate further properties of fuzzy ideals of a BL-algebra. The notions of fuzzy prime ideals, fuzzy irreducible ideals, and fuzzy Gödel ideals of a BL-algebra are introduced and their several properties are investigated.
Biao Long Meng, Xiao Long Xin
doaj   +2 more sources

On (⊙, ∨)-derivation for BL-algebras [PDF]

open access: yesJournal of Hyperstructures, 2013
In this paper, we define the concept of (⊙, ∨)-derivations for BL-algebras and discuss some related results. We study this derivation on boolean center B(A) of a BL-algebra A.
L. Torkzadeh, L. Abbasian
doaj   +2 more sources

A New Extended Soft Intersection Set to M,N-SI Implicative Fitters of BL-Algebras [PDF]

open access: yesThe Scientific World Journal, 2014
Molodtsov’s soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of (M,N)-SI implicative (Boolean) filters of BL-algebras are introduced. Some good examples are explored.
Jianming Zhan, Qi Liu, Hee Sik Kim
doaj   +2 more sources

MV-ALGEBRAS AND BL-ALGEBRAS [PDF]

open access: yesFiabilitate şi Durabilitate, 2013
This material is studying MV-algebras and BL-algebras in terms of applicability inBoole.Algebrele Boole algebra expanded use in fuzzy logic.
Constantin BOGDAN   +1 more
doaj   +2 more sources

The Reticulation of a Universal Algebra [PDF]

open access: yesScientific Annals of Computer Science, 2018
The reticulation of an algebra A is a bounded distributive lattice L(A) whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of A, endowed with the Stone topologies.
G. Georgescu, C. Mureșan
doaj   +4 more sources

Classes of Int-Soft Filters in Residuated Lattices [PDF]

open access: yesThe Scientific World Journal, 2014
The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be
Young Bae Jun   +2 more
doaj   +2 more sources

Semitopological BL-Algebras and MV -Algebras

open access: yesDemonstratio Mathematica, 2014
In this paper, by considering the notion of upsets, for any element x of a BL-algebra L, we construct a topology Tx on L and show that L-algebras with this topology formes a semitopological BL-algebras.
Zahiri O., Borzooei R. A.
doaj   +3 more sources

On annihilators in BL-algebras

open access: yesOpen Mathematics, 2016
In the paper, we introduce the notion of annihilators in BL-algebras and investigate some related properties of them. We get that the ideal lattice (I(L), ⊆) is pseudo-complemented, and for any ideal I, its pseudo-complement is the annihilator I⊥ of I ...
Zou Yu Xi, Xin Xiao Long, Fei He Peng
doaj   +2 more sources

Quasi-Uniformity on BL-algebras

open access: yesRatio Mathematica, 2018
See the pdf ...
Rajab Ali Borzooei, Nader Kouhestani
doaj   +2 more sources

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