Classes of Int-Soft Filters in Residuated Lattices

Classes of Int-Soft Filters in Residuated Lattices

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 an int-soft G-filter, a regular int-soft filt...

Full description

Bibliographic Details
Main Authors: Young Bae Jun, Sun Shin Ahn, Kyoung Ja Lee
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/595160
id doaj-c2bf759fc9d04379b273323d7e3ba674
record_format Article
spelling doaj-c2bf759fc9d04379b273323d7e3ba6742020-11-25T02:19:12ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/595160595160Classes of Int-Soft Filters in Residuated LatticesYoung Bae Jun0Sun Shin Ahn1Kyoung Ja Lee2Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics Education, Dongguk University, Seoul 100-715, Republic of KoreaDepartment of Mathematics Education, Hannam University, Daejeon 306-791, Republic of KoreaThe 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 an int-soft G-filter, a regular int-soft filter, or an MV-int-soft filter are provided. The extension property for an int-soft G-filter is discussed. Finally, it is shown that the notion of an MV-int-soft filter coincides with the notion of a regular int-soft filter in BL-algebras.http://dx.doi.org/10.1155/2014/595160
collection DOAJ
language English
format Article
sources DOAJ
author Young Bae Jun
Sun Shin Ahn
Kyoung Ja Lee
spellingShingle Young Bae Jun
Sun Shin Ahn
Kyoung Ja Lee
Classes of Int-Soft Filters in Residuated Lattices
The Scientific World Journal
author_facet Young Bae Jun
Sun Shin Ahn
Kyoung Ja Lee
author_sort Young Bae Jun
title Classes of Int-Soft Filters in Residuated Lattices
title_short Classes of Int-Soft Filters in Residuated Lattices
title_full Classes of Int-Soft Filters in Residuated Lattices
title_fullStr Classes of Int-Soft Filters in Residuated Lattices
title_full_unstemmed Classes of Int-Soft Filters in Residuated Lattices
title_sort classes of int-soft filters in residuated lattices
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
description 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 an int-soft G-filter, a regular int-soft filter, or an MV-int-soft filter are provided. The extension property for an int-soft G-filter is discussed. Finally, it is shown that the notion of an MV-int-soft filter coincides with the notion of a regular int-soft filter in BL-algebras.
url http://dx.doi.org/10.1155/2014/595160
work_keys_str_mv AT youngbaejun classesofintsoftfiltersinresiduatedlattices
AT sunshinahn classesofintsoftfiltersinresiduatedlattices
AT kyoungjalee classesofintsoftfiltersinresiduatedlattices
_version_ 1724877623006330880

Similar Items