Roughness of fuzzy soft sets and related results

DOI

10.1080/18756891.2015.1001951How to use a DOI?

Keywords

Fuzzy soft sets, Fuzzy soft rough approximations, Fuzzy soft rough sets, Fuzzy topologies, Fuzzy soft rough relations, [0,1]-valued information systems, One-to-one correspondences

Abstract

This paper investigates roughness of fuzzy soft sets. A pair of fuzzy soft rough approximations is proposed and their properties are given. Based on fuzzy soft rough approximations, the concept of fuzzy soft rough sets is introduced. New types of fuzzy soft sets such as full, intersection complete and union complete fuzzy soft sets are defined and supported by some illustrative examples. We obtain the structure of fuzzy soft rough sets, investigate the structure of fuzzy topologies induced by fuzzy soft sets, reveal the fact that every finite fuzzy topological space is a fuzzy soft approximation space and discuss fuzzy soft rough relations. We proved that there exists a one-to-one correspondence between the set of all fuzzy soft sets and the set of all [0,1]-valued information systems, which illustrates that we can research [0,1]-information systems by means of fuzzy soft sets.

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  - Zhaowen Li
AU  - Tusheng Xie
PY  - 2015
DA  - 2015/04/01
TI  - Roughness of fuzzy soft sets and related results
JO  - International Journal of Computational Intelligence Systems
SP  - 278
EP  - 296
VL  - 8
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1001951
DO  - 10.1080/18756891.2015.1001951
ID  - Li2015
ER  -