Redundancy of fuzzy soft topological spaces

被引：8
作者：
Shi, Fu-Gui [1 ]
Pang, Bin [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 04期
关键词：
Fuzzy set; soft set; fuzzy soft set; fuzzy soft topology; SETS;
D O I：
10.3233/IFS-141141
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, it is shown that there is a complement preserving isomorphism (preserving arbitrary union and arbitrary intersection) between the lattice (FS(X, E), (sic)) of all fuzzy soft sets on X and the I-powerset lattice (I-XxE, <=) of all fuzzy subsets of X x E. It therefore follows that fuzzy soft topologies are redundant and unnecessarily complicated in theoretical sense.
引用
收藏
页码：1757 / 1760
页数：4
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