The Lattice Structure of L-Contact Relations

From the point of view of graded truth approach, we define the notion of a contact relation on the collection of all L-sets, discuss the connection to the set of all close, reflexive, and symmetric relations on all L-ultrafilters on X, and investigate the algebraic structure of all L-contact relatio...

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Main Author:	Xueyou Chen
Format:	Article
Language:	English
Published:	Hindawi Limited 2016-01-01
Series:	Advances in Fuzzy Systems
Online Access:	http://dx.doi.org/10.1155/2016/3942416

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spelling	doaj-501748233674429298f830b91eab0e052020-11-24T22:58:21ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2016-01-01201610.1155/2016/39424163942416The Lattice Structure of L-Contact RelationsXueyou Chen0School of Mathematics, Shandong University of Technology, Zibo, Shandong 255049, ChinaFrom the point of view of graded truth approach, we define the notion of a contact relation on the collection of all L-sets, discuss the connection to the set of all close, reflexive, and symmetric relations on all L-ultrafilters on X, and investigate the algebraic structure of all L-contact relations.http://dx.doi.org/10.1155/2016/3942416
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xueyou Chen
spellingShingle	Xueyou Chen The Lattice Structure of L-Contact Relations Advances in Fuzzy Systems
author_facet	Xueyou Chen
author_sort	Xueyou Chen
title	The Lattice Structure of L-Contact Relations
title_short	The Lattice Structure of L-Contact Relations
title_full	The Lattice Structure of L-Contact Relations
title_fullStr	The Lattice Structure of L-Contact Relations
title_full_unstemmed	The Lattice Structure of L-Contact Relations
title_sort	lattice structure of l-contact relations
publisher	Hindawi Limited
series	Advances in Fuzzy Systems
issn	1687-7101 1687-711X
publishDate	2016-01-01
description	From the point of view of graded truth approach, we define the notion of a contact relation on the collection of all L-sets, discuss the connection to the set of all close, reflexive, and symmetric relations on all L-ultrafilters on X, and investigate the algebraic structure of all L-contact relations.
url	http://dx.doi.org/10.1155/2016/3942416
work_keys_str_mv	AT xueyouchen thelatticestructureoflcontactrelations AT xueyouchen latticestructureoflcontactrelations
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The Lattice Structure of L-Contact Relations

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