Neighborhood systems and variable precision generalized rough sets

Yu Ru Syau; En Bing Lin; Churn Jung Liauy

doi:10.3233/FI-2017-1541

Neighborhood systems and variable precision generalized rough sets

Yu Ru Syau, En Bing Lin, Churn Jung Liauy

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, we present the connection between the concepts of Variable Precision Generalized Rough Set model (VPGRS-model) and Neighborhood Systems through binary relations. We provide characterizations of lower and upper approximations for VPGRS-model by introducing minimal neighborhood systems. Furthermore, we explore generalizations by investigating variable parameters which are limited by variable precision. We also prove some properties of lower and upper approximations for VPGRS-model.

Original language	English
Pages (from-to)	271-290
Number of pages	20
Journal	Fundamenta Informaticae
Volume	153
Issue number	3
DOIs	https://doi.org/10.3233/FI-2017-1541
State	Published - 2017

Keywords

Neighborhood systems
lower and upper approximations
rough sets
variable precision generalized rough sets
variable precision rough sets

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10.3233/FI-2017-1541

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title = "Neighborhood systems and variable precision generalized rough sets",

abstract = "In this paper, we present the connection between the concepts of Variable Precision Generalized Rough Set model (VPGRS-model) and Neighborhood Systems through binary relations. We provide characterizations of lower and upper approximations for VPGRS-model by introducing minimal neighborhood systems. Furthermore, we explore generalizations by investigating variable parameters which are limited by variable precision. We also prove some properties of lower and upper approximations for VPGRS-model.",

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AB - In this paper, we present the connection between the concepts of Variable Precision Generalized Rough Set model (VPGRS-model) and Neighborhood Systems through binary relations. We provide characterizations of lower and upper approximations for VPGRS-model by introducing minimal neighborhood systems. Furthermore, we explore generalizations by investigating variable parameters which are limited by variable precision. We also prove some properties of lower and upper approximations for VPGRS-model.

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KW - lower and upper approximations

KW - rough sets

KW - variable precision generalized rough sets

KW - variable precision rough sets

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JF - Fundamenta Informaticae

IS - 3

ER -

Neighborhood systems and variable precision generalized rough sets

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Keywords

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