Fuzzy Soft Sets and Fuzzy Soft Lattices

Yingchao Shao, Keyun Qin
2012 International Journal of Computational Intelligence Systems  
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.
more » ... attice are discussed.
doi:10.1080/18756891.2012.747667 fatcat:7blxnqttobebfhkla45v6qrmru