On the connections between multigranulation rough sets and generalized rough sets

DOI

10.2991/meita-16.2017.108How to use a DOI?

Keywords

Rough Set; Generalized Rough Set; Pessimistic Multigranulation rough set; Optimistic Multigranulation Rough Set

Abstract

This note makes a comparative study of multigranulation rough set model and generalized rough set model. It is pointed out that the pessimistic multigranulation rough set model (PMGRS) is a kind of generalized rough set model, it is induced by a reflexive and symmetric relation on the universe. On the contrary, the optimistic multigranulation rough set model (OMGRS) is not a generalized rough set model. In other words, OMGRS can not be induced by a binary relation in general. Furthermore, some mistakes in the existing papers are pointed out.

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  - CONF
AU  - Jiao Yang
AU  - Shiming Wan
AU  - Keyun Qin
PY  - 2017/02
DA  - 2017/02
TI  - On the connections between multigranulation rough sets and generalized rough sets
BT  - Proceedings of the 2016 2nd International Conference on Materials Engineering and Information Technology Applications (MEITA 2016)
PB  - Atlantis Press
SP  - 517
EP  - 522
SN  - 2352-5401
UR  - https://doi.org/10.2991/meita-16.2017.108
DO  - 10.2991/meita-16.2017.108
ID  - Yang2017/02
ER  -