In this note we compare notions of rough set and fuzzy set, and we show that these two notions are different.
Fuzzy rough sets
β Scribed by S. Nanda; S. Majumdar
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 134 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The purpose of this communication is to demonstrate the fact that fuzzy rough sets in the sense of Nanda and Majumdar [Fuzzy Sets and Systems 45 (1992) 157] are, indeed, intuitionistic L-fuzzy sets developed by Atanassov [VII ITKR's Session; Fuzzy Sets and Systems 20 (1986) 87].
A fuzzy T-rough set consists of a set X and a T-similarity relation R on X, where T is a lower semi-continuous triangular norm. We generalize the Farinas-Prade definition for the upper approximation operator A: I x --+ IX of a fuzzy T-rough set (X, R); given originally for the special case T = Min,
A measure of fuzziness in rough sets is introduced and some characterizations of this measure are made with examples.