2015
DOI: 10.3233/fi-2015-1188
|View full text |Cite
|
Sign up to set email alerts
|

On the Completion of Rough Sets System Determined by Arbitrary Binary Relations

Abstract: In this paper, a solution is given to the problem proposed by Järvinen in [8]. A smallest completion of the rough sets system determined by an arbitrary binary relation is given. This completion, in the case of a quasi order, coincides with the rough sets system which is a Nelson algebra. Further, the algebraic properties of this completion has been studied.is a completion of (R * , ≤).In 1987, Gehrke and Walker [6] showed that the structure of the rough sets system determined by an equivalence relation R on U… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
5
0

Year Published

2023
2023
2024
2024

Publication Types

Select...
3

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(5 citation statements)
references
References 16 publications
0
5
0
Order By: Relevance
“…In the case of rough sets induced by arbitrary binary relations, we knew quite a little about their structure. Practically only the results presented in [9] about the completion DM(RS) were known. In this work, we have extended this knowledge in case of a reflexive relation by showing that DM(RS) forms a paraorthomodular lattice.…”
Section: Discussionmentioning
confidence: 99%
See 4 more Smart Citations
“…In the case of rough sets induced by arbitrary binary relations, we knew quite a little about their structure. Practically only the results presented in [9] about the completion DM(RS) were known. In this work, we have extended this knowledge in case of a reflexive relation by showing that DM(RS) forms a paraorthomodular lattice.…”
Section: Discussionmentioning
confidence: 99%
“…We denote the Dedekind-MacNeille completion of RS by DM(RS). Umadevi [9] has proved that for any binary relation R on U ,…”
Section: Smallest Completion Of Rough Setsmentioning
confidence: 99%
See 3 more Smart Citations