(M, N) -soft intersection BL-algebras and their congruences

Xueling Ma, Hee Sik Kim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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 set, which is a generalization of soft intersection sets. We introduce the concepts of (M, N)-SI filters of BL-algebras and establish some characterizations. Especially, (M, N)-soft congruences in BL-algebras are concerned.

Original languageEnglish
Article number461060
JournalThe Scientific World Journal
Volume2014
DOIs
StatePublished - 2014

Fingerprint

Algebra
Uncertainty
filter

Cite this

@article{01e138b55bab48ed8b4d1b9cd767ce10,
title = "(M, N) -soft intersection BL-algebras and their congruences",
abstract = "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 set, which is a generalization of soft intersection sets. We introduce the concepts of (M, N)-SI filters of BL-algebras and establish some characterizations. Especially, (M, N)-soft congruences in BL-algebras are concerned.",
author = "Xueling Ma and Kim, {Hee Sik}",
year = "2014",
doi = "10.1155/2014/461060",
language = "English",
volume = "2014",
journal = "Scientific World Journal",
issn = "2356-6140",

}

(M, N) -soft intersection BL-algebras and their congruences. / Ma, Xueling; Kim, Hee Sik.

In: The Scientific World Journal, Vol. 2014, 461060, 2014.

Research output: Contribution to journalArticle

TY - JOUR

T1 - (M, N) -soft intersection BL-algebras and their congruences

AU - Ma, Xueling

AU - Kim, Hee Sik

PY - 2014

Y1 - 2014

N2 - 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 set, which is a generalization of soft intersection sets. We introduce the concepts of (M, N)-SI filters of BL-algebras and establish some characterizations. Especially, (M, N)-soft congruences in BL-algebras are concerned.

AB - 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 set, which is a generalization of soft intersection sets. We introduce the concepts of (M, N)-SI filters of BL-algebras and establish some characterizations. Especially, (M, N)-soft congruences in BL-algebras are concerned.

UR - http://www.scopus.com/inward/record.url?scp=84899452450&partnerID=8YFLogxK

U2 - 10.1155/2014/461060

DO - 10.1155/2014/461060

M3 - Article

C2 - 24977197

AN - SCOPUS:84899452450

VL - 2014

JO - Scientific World Journal

JF - Scientific World Journal

SN - 2356-6140

M1 - 461060

ER -