Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

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
https://doi.org/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/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.187How to use a DOI?
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  - https://doi.org/10.2991/ifsa-eusflat-15.2015.187
ID  - Perfilieva2015/06
ER  -