A comparative study of fuzzy sets and rough sets
A comparative study of fuzzy sets and rough sets
复制标题
DOI：
10.1016/s0020-0255(98)10023-3
复制
发表时间：
1998-08-01
影响因子：
8.1
通讯作者：
Yao, YY
中科院分区：
文献类型：
--
作者：
Yao, YY
本文对模糊集和粗糙集理论进行了回顾和比较。综述了模糊集的两种形式化方法，一种是基于多值逻辑，另一种是基于模态逻辑。提出了粗糙集的两种观点：面向集合的观点和面向算子的观点。面向集合观下的粗糙集与模糊集有着密切的联系，从而产生了非真值函数的模糊集算子。它们都可以看作是经典集合代数的偏差。而面向算子的粗糙集则不同于模糊集，可以看作是经典集合代数的一种推广。(C)1998年爱思唯尔科学公司All rights reserved.
This paper reviews and compares theories of fuzzy sets and rough sets. Two approaches for the formulation of fuzzy sets are reviewed, one is based on many-valued logic and the other is based on modal logic. Two views of rough sets are presented, set-oriented view and operator-oriented view. Rough sets under set-oriented view are closely related to fuzzy sets, which leads to non-truth-functional fuzzy set operators. Both of them may be considered as deviations of classical set algebra. In contrast, rough sets under operator-oriented view are different from fuzzy sets, and may be regarded as an extension of classical set algebra. (C) 1998 Elsevier Science Inc. All rights reserved.