Generalization of soft set theory: From crisp to fuzzy case

被引：57

作者：

Yang, Xibei ^{[1
]}

Yu, Dongjun ^{[1
]}

Yang, Jingyu ^{[1
]}

Wu, Chen ^{[1
,2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Comp Sci & Technol, Nanjing 210094, Jiangsu, Peoples R China

[2] Draxel Univ, Coll Informat Sci & Technol, Philadelphia, PA 19104 USA

来源：

FUZZY INFORMATION AND ENGINEERING, PROCEEDINGS | 2007年 / 40卷

关键词：

soft set; fuzzy soft set; tabular representation; difference function; reduction;

D O I：

10.1007/978-3-540-71441-5_39

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The traditional soft set is a mapping from parameter to the crisp subset of universe. However, the situation may be more complex in real world because the fuzzy characters of parameters. In this paper, the traditional soft set theory is expanded to be a fuzzy one, the fuzzy membership is used to describe parameter-approximate elements of fuzzy soft set. Furthermore, basic fuzzy logic operators are used to define generalized operators on fuzzy soft set and then the DeMorgan's laws are proved. Finally, the parametrization reduction of fuzzy soft set is defined, a decision-making problem is analyzed to indicate the validity of the fuzzy soft set.

引用

页码：345 / +

页数：3

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