Title :
The Fuzziness Measure in Fuzzy Rough Sets
Author :
Lv, Yue-jin ; Zhang, Hong-yun ; Chen, Zhi-cheng
Author_Institution :
Sch. of Math. & Inf. Sci., Guangxi Univ., Manning
Abstract :
The paper studies the fuzziness measure in fuzzy rough sets. By making use of the support set of fuzzy sets, a rough membership function for fuzzy sets based on fuzzy relation is introduced. Simultaneously, a fuzziness measure of fuzzy rough sets from total mean fuzzy degree is proposed. And then, it is proved that the fuzziness measure of fuzzy rough sets, denoted by, equals to zero if the set is crisp and definable.
Keywords :
fuzzy set theory; rough set theory; fuzziness measure; fuzzy rough sets; rough membership function; Artificial intelligence; Data mining; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Information science; Mathematics; Pattern recognition; Rough sets; Set theory; fuzziness measure; fuzzy rough sets; fuzzy sets; rough sets;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
Conference_Location :
Shandong
Print_ISBN :
978-0-7695-3305-6
DOI :
10.1109/FSKD.2008.377
