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The Scientific World Journal
Volume 2013, Article ID 678586, 7 pages
Research Article

A Novel Definition of -Fuzzy Lattice Based on Fuzzy Set

Department of Basic Science, Beijing University of Agriculture, Beijing 102206, China

Received 2 April 2013; Accepted 12 May 2013

Academic Editors: F. Başar and A. Favini

Copyright © 2013 Jun-Fang Zhang. 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.


The concept of -fuzzy lattice is presented by means of an -fuzzy partially ordered set. An -fuzzy partially ordered set is an -fuzzy lattice if and only if one of , , and is a lattice.