On the relationship among F-transform, fuzzy rough set and fuzzy topology
Authors
Irina Perfilieva, Anand Pratap Singh, S.P. Tiwari
Corresponding Author
Irina Perfilieva
Available Online June 2015.
- DOI
- 10.2991/ifsa-eusflat-15.2015.187How to use a DOI?
- Keywords
- F-transform, Fuzzy partition, Residuated lattices, Fuzzy rough sets.
- Abstract
The objective of this work is to associate the concepts of fuzzy rough sets and fuzzy topologies with fuzzy transform. It is shown here that the fuzzy transform can be viewed as fuzzy approximation operators studied in the operator-oriented view of fuzzy rough set theory and the use of fuzzy rough set results reduces efforts in proving fuzzy transform theoretic results. We present a glimpse that fuzzy topological results can also be used in similar fashion for fuzzy transform theoretical results.
- Copyright
- © 2015, 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/).
Cite this article
TY - CONF AU - Irina Perfilieva AU - Anand Pratap Singh AU - S.P. Tiwari PY - 2015/06 DA - 2015/06 TI - On the relationship among F-transform, fuzzy rough set and fuzzy topology BT - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology PB - Atlantis Press SP - 1324 EP - 1330 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.187 DO - 10.2991/ifsa-eusflat-15.2015.187 ID - Perfilieva2015/06 ER -