Genuine sets, various kinds of fuzzy sets and fuzzy rough sets

被引：6
|
作者：
Demirci, M [1 ]
机构：
[1] Akdeniz Univ, Fac Sci & Arts, Dept Math, TR-07058 Antalya, Turkey
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2003年 / 11卷 / 04期
关键词：
genuine sets; type-m fuzzy sets; type-2 fuzzy sets; fuzzy rough sets; intuitionistic fuzzy sets; possibility measures;
D O I：
10.1142/S0218488503002193
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, deriving the type-m fuzzy sets, intuitionistic fuzzy sets, Phi-fuzzy sets, rough sets, fuzzy rough sets and rough fuzzy sets as particular genuine sets, and establishing their connections with genuine sets, it is demonstrated that the theory of genuine sets provides a powerful tool to model various different kinds of uncertainty in a mathematical way. Furthermore, it is also shown that the genuine set theoretic descriptions of type-m fuzzy sets, intuitionistic fuzzy sets and fuzzy rough sets point out new features of these set notations, originated from the peculiar characteristics of genuine sets.
引用
收藏
页码：467 / 494
页数：28
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