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Advances in Fuzzy Systems
Volume 2016, Article ID 3942416, 8 pages
Research Article

The Lattice Structure of L-Contact Relations

School of Mathematics, Shandong University of Technology, Zibo, Shandong 255049, China

Received 15 November 2015; Accepted 24 March 2016

Academic Editor: Rustom M. Mamlook

Copyright © 2016 Xueyou Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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