Transformation and entropy for fuzzy rough sets
β Scribed by Chengyi, Zhang; Dongya, Li; Haiyan, Fu; Guohui, Chen
- Book ID
- 122218343
- Publisher
- Elsevier Science
- Year
- 2008
- Weight
- 158 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1004-4132
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π SIMILAR VOLUMES
In this note we compare notions of rough set and fuzzy set, and we show that these two notions are different.
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 non-probabilistic-type entropy measure for intuitionistic fuzzy sets is proposed. It is a result of a geometric interpretation of intuitionistic fuzzy sets and uses a ratio of distances between them proposed in Szmidt and Kacprzyk (to appear). It is also shown that the proposed measure can be deΓΏn