Fuzzy Soft Sets and Fuzzy Soft Lattices

被引：9
|
作者：
Shao, Yingchao [1 ]
Qin, Keyun [1 ]
机构：
[1] SW Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS | 2012年 / 5卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Soft set; Fuzzy soft set; Fuzzy soft lattice; Lattice; THEORETIC APPROACH; REDUCTION;
D O I：
10.1080/18756891.2012.747667
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The theory of soft sets was introduced by Molodtsov in 1999 in order to deal with uncertainties. In this paper, the notion of fuzzy soft lattice is defined and some related properties are derived, which extends the notion of a fuzzy lattice to include the algebraic structures of soft sets. Then the lattice structure of fuzzy soft lattices are discussed. At last, the concept of fuzzy soft ideal over a lattice is presented and the lattice structures of fuzzy soft ideal over a lattice are discussed.
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页码：1135 / 1147
页数：13
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