On (,)- (implicative) filters in -algebras

Molodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. This paper aims to put forward a new soft set–(,)-soft intersection set, which is a generalization of soft intersection sets. We introduce (, )- (implicative) filters of -algebras. Some...

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Bibliographic Details
Main Authors:	Jianming Zhan, Yang Xu, Young Bae Jun
Format:	Article
Language:	English
Published:	Atlantis Press 2014-12-01
Series:	International Journal of Computational Intelligence Systems
Subjects:	Soft set -algebras filter implicative filter ()-soft congruence ()- implicative(Boolean) filter
Online Access:	https://www.atlantis-press.com/article/25868537.pdf

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spelling	doaj-6ea2c6dc996c48f4b827ff8b348e2bfe2020-11-25T01:32:46ZengAtlantis PressInternational Journal of Computational Intelligence Systems 1875-68832014-12-017610.1080/18756891.2013.876721On (,)- (implicative) filters in -algebrasJianming ZhanYang XuYoung Bae JunMolodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. This paper aims to put forward a new soft set–(,)-soft intersection set, which is a generalization of soft intersection sets. We introduce (, )- (implicative) filters of -algebras. Some characterizations of these kinds of filters are established. In particular, we discuss the properties of (,)-soft congruences in -algebras. It can lay a foundation for providing a new soft algebraic tool in considering many problems that contain uncertainties.https://www.atlantis-press.com/article/25868537.pdfSoft set-algebrasfilterimplicative filter()-soft congruence()- implicative(Boolean) filter
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jianming Zhan Yang Xu Young Bae Jun
spellingShingle	Jianming Zhan Yang Xu Young Bae Jun On (,)- (implicative) filters in -algebras International Journal of Computational Intelligence Systems Soft set -algebras filter implicative filter ()-soft congruence ()- implicative(Boolean) filter
author_facet	Jianming Zhan Yang Xu Young Bae Jun
author_sort	Jianming Zhan
title	On (,)- (implicative) filters in -algebras
title_short	On (,)- (implicative) filters in -algebras
title_full	On (,)- (implicative) filters in -algebras
title_fullStr	On (,)- (implicative) filters in -algebras
title_full_unstemmed	On (,)- (implicative) filters in -algebras
title_sort	on (,)- (implicative) filters in -algebras
publisher	Atlantis Press
series	International Journal of Computational Intelligence Systems
issn	1875-6883
publishDate	2014-12-01
description	Molodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. This paper aims to put forward a new soft set–(,)-soft intersection set, which is a generalization of soft intersection sets. We introduce (, )- (implicative) filters of -algebras. Some characterizations of these kinds of filters are established. In particular, we discuss the properties of (,)-soft congruences in -algebras. It can lay a foundation for providing a new soft algebraic tool in considering many problems that contain uncertainties.
topic	Soft set -algebras filter implicative filter ()-soft congruence ()- implicative(Boolean) filter
url	https://www.atlantis-press.com/article/25868537.pdf
work_keys_str_mv	AT jianmingzhan onimplicativefiltersinalgebras AT yangxu onimplicativefiltersinalgebras AT youngbaejun onimplicativefiltersinalgebras
_version_	1725079841436336128

On (,)- (implicative) filters in -algebras

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