Constructive and axiomatic approaches of fuzzy approximation operators

By Weizhi Wu, Wenxiu Zhang. Information Sciences, 2004

493 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/d4c71501756f1595e9251bee577321d6d6a67e98

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Qinghua Hu
2. Daren Yu
3. Richard Jensen
4. Y. Qian
5. Qiang Shen
6. Jiye Liang
7. Zongxia Xie
8. Chuangyin Dang

Citations in the corpus

• Computational Intelligence and Feature Selection - Rough and Fuzzy Approaches (2008, background): “The axiomatic approach is primarily for the study of the mathematical properties of fuzzy-rough sets [386].”
• Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation (2007, background): “In order to deal with numerical and fuzzy attributes in information systems, rough set and fuzzy set are combined together [46] [47] [48] [49].”
• Information-preserving hybrid data reduction based on fuzzy-rough techniques (2006, methodology): “The properties and axiomatization of fuzzy rough set theory (Morsi and Yakout, 1998; Wu and Zhang, 2004; Wu et al., 2004) were analyzed in detail.”
• Rudiments of rough sets (2007, unknown): “, [8,37,60,39,40,72,46,48,59,66,67,96,128,103, 127,134,136,139,148,149,157,189–196,207,208,216,219,229,230,232,236,244,245,251,265,188,279,281,286,288, 295,299,302,317,318,321–324,326,327,329,358–363,365,368]).”
• Attributes Reduction Using Fuzzy Rough Sets (2008, background): “These two approximation operators were studied in detail from the constructive and axiomatic approaches in [11], [12] with the properties (FP1)–(FP6).”
• MGRS: A multi-granulation rough set (2010, background): “…been proposed in terms of various requirements, such as the variable precision rough set (VPRS) model (see [43]), the rough set model based on tolerance relation (see [7] [8] [9]), the Bayesian rough set model (see [33]), the fuzzy rough set model and the rough fuzzy set model (see [1] [34] [35]).”
• New Approaches to Fuzzy-Rough Feature Selection (2009, background): “The axiomatic approach is primarily for the study of the mathematical properties of fuzzy-rough sets [36].”