The theory of soft sets was introduced by Molodtsov in 1999 in order to deal with uncertainties. In this paper, the notion of fuzzy soft lattice is defined and some related properties are derived, which extends the notion of a fuzzy lattice to include the algebraic structures of soft sets. Then the lattice structure of fuzzy soft lattices are discussed. At last, the concept of fuzzy soft ideal over a lattice is presented and the lattice structures of fuzzy soft ideal over a lattice are discussed.

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In this paper,some properties about filter and congruence are proposed at first,then we discuss some properties about approximation operators in residuated lattice.Index Terms-approximation operators residuated lattice 2010 International Conference on Web Information Systems and Mining 978-0-7695-4224-9/10 $26.00

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