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: Wiley 2016-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2016/3942416
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author Xueyou Chen
author_facet Xueyou Chen
author_sort Xueyou Chen
collection DOAJ
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.
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institution Kabale University
issn 1687-7101
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publishDate 2016-01-01
publisher Wiley
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series Advances in Fuzzy Systems
spelling doaj-art-501748233674429298f830b91eab0e052025-02-03T05:59:47ZengWileyAdvances 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
spellingShingle Xueyou Chen
The Lattice Structure of L-Contact Relations
Advances in Fuzzy Systems
title 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_short The Lattice Structure of L-Contact Relations
title_sort lattice structure of l contact relations
url http://dx.doi.org/10.1155/2016/3942416
work_keys_str_mv AT xueyouchen thelatticestructureoflcontactrelations
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