Volume 8, Issue 2, April 2015, Pages 278 - 296
Roughness of fuzzy soft sets and related results
Zhaowen Li, Tusheng Xie
Received 18 March 2014, Accepted 16 October 2014, Available Online 1 April 2015.
- https://doi.org/10.1080/18756891.2015.1001951How to use a DOI?
- 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
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 - https://doi.org/10.1080/18756891.2015.1001951 ID - Li2015 ER -