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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 356581, 11 pages
doi:10.1155/2010/356581

(L,M)-Fuzzy σ-Algebras

Fu-Gui Shi

Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China

Abstract

The notion of (L,M)-fuzzy σ-algebras is introduced in the lattice value fuzzy set theory. It is a generalization of Klement's fuzzy σ-algebras. In our definition of (L,M)-fuzzy σ-algebras, each L-fuzzy subset can be regarded as an L-measurable set to some degree.