Fuzzy Soft Sets and Fuzzy Soft Lattices

DOI

10.1080/18756891.2012.747667How to use a DOI?

Keywords

Soft set, Fuzzy soft set, Fuzzy soft lattice, Lattice

Abstract

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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Yingchao Shao
AU  - Keyun Qin
PY  - 2012
DA  - 2012/11/01
TI  - Fuzzy Soft Sets and Fuzzy Soft Lattices
JO  - International Journal of Computational Intelligence Systems
SP  - 1135
EP  - 1147
VL  - 5
IS  - 6
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2012.747667
DO  - 10.1080/18756891.2012.747667
ID  - Shao2012
ER  -