Paper Info
Title
Soft coverings and their parameter reductions
Abstract
Graphical abstractDisplay Omitted HighlightsWe introduce soft coverings.We obtain the lattice structure of soft sets induced by soft coverings.We investigate the parameter reduction of soft coverings by means of knowledge on the attribute reduction for covering information systems.We present an algorithm to compute all the parameter reductions of soft coverings.We give an application on the evaluation problems to show the usefulness of the parameter reduction of soft coverings. Soft set theory is a new mathematical tool to deal with uncertain information. This paper studies soft coverings and their parameter reductions. Firstly, we define a soft set on the power set of an initial universe and discuss its properties. Secondly, we introduce soft coverings and obtain the lattice structure of soft sets induced by them. Thirdly, we investigate parameter reductions of a soft covering by means of attribute reductions in a covering information system and present their algorithm. Finally, we give an application to show the usefulness of parameter reductions of a soft covering.
Year
DOI
Venue
2015
10.1016/j.asoc.2015.02.027
Appl. Soft Comput.
Keywords
Field
DocType
soft covering,parameter reduction,topology,rough approximation,soft set
Information system,Discrete mathematics,Mathematical optimization,Soft set,Algorithm,Universe,Power set,Parameter reduction,Mathematics
Journal
Volume
Issue
ISSN
31
C
1568-4946
Citations 
PageRank 
References 
21
0.75
17
Authors
3
Name
Order
Citations
PageRank
Zhaowen Li113616.20
Ningxin Xie2698.08
Guoqiu Wen3424.77