Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China
Copyright © 2010 Fu-Gui Shi. 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 notion of ()-fuzzy -algebras is introduced in the lattice value fuzzy set theory. It is a generalization of Klement's fuzzy -algebras. In our definition of ()-fuzzy -algebras, each -fuzzy subset can be regarded as an -measurable set to some degree.