Rough Set in Fuzzy Approximation Space with Fuzzy Equivalence Class

Author(s):

Mohadeseh Taginejad *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The rough set model was constructed in fuzzy approximation space. In this study, we first introduce the fuzzy relation, relative sets, and fuzzy equivalence class. Then, we prove some properties of the fuzzy equivalence class. Thereafter, the concept of fuzzy rough set is proposed over fuzzy relation and inverse fuzzy relation in fuzzy approximation space by means of relative sets and fuzzy equivalence class sets, and some propositions are proved. Also, some examples and dentitions are presented in this study.

Keywords:

fuzzy set , fuzzy relation , fuzzy rough set

Language:
English
Published:
Fuzzy Optimzation and Modeling, Volume:1 Issue: 2, Summer 2020
Pages:
43 to 49
https://www.magiran.com/p2331420