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Uncertainty measurement for neighborhood based soft covering rough graphs with applications

Authors
Rehman, NoorShah, NasirAli, Muhammad IrfanPark, Choonkil
Issue Date
Jul-2019
Publisher
SPRINGER-VERLAG ITALIA SRL
Keywords
Soft set theory; Uncertainty measure; Soft graph; Soft covering rough graph; Information entropy; Granularity
Citation
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, v.113, no.3, pp.2515 - 2535
Indexed
SCIE
SCOPUS
Journal Title
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Volume
113
Number
3
Start Page
2515
End Page
2535
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147456
DOI
10.1007/s13398-019-00632-5
ISSN
1578-7303
Abstract
Soft set theory and rough set theory are two newer tools to discuss uncertainty. Soft graphs are a nice way to depict certain information. In order to discuss uncertainty in soft graphs, a new type of graphs called neighborhood based soft covering rough graphs is introduced. We have discussed the uncertainty measures associated with neighborhood based soft covering rough graphs such as roughness measure, entropy measure and granularity. Some important properties of these uncertainty measures are investigated and the relationships between such measures are established. These properties will help to understand the essence of uncertainty measurement and in measuring the quality of a decision rule.
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