A modified rough set approach to incomplete information systems
type: Item
instance of: scholarly article
title: A modified rough set approach to incomplete information systems
zbMATH Open document ID: 1170.68611
DOI: 10.1155/2007/58248
author: E. A. Rady
author: M. M. E. Abd El-Monsef
author: W. A. Abd El-Latif
published in: Journal of Applied Mathematics and Decision Sciences
publication date: 2008-07-28T00:00:00Z
full work available at URL: https://eudml.org/doc/130536
review text: Summary: The key point of the tolerance relation or similarity relation presented in the literature is to assign a ``null'' value to all missing attribute values. In other words, a ``null'' value may be equal to any value in the domain of the attribute values. This may cause a serious effect in data analysis and decision analysis because the missing values are just ``missed'' but they do exist and have an influence on the decision. In this paper, we will introduce the modified similarity relation denoted by MSIM that is dependent on the number of missing values with respect to the number of the whole defined attributes for each object. According to the definition of MSIM, many problems concerning the generalized decisions are solved. This point may be used in scaling in statistics in a wide range. Also, a new definition of the discernibility matrix, deduction of the decision rules, and reducts in the present of the missing values are obtained.
Mathematics Subject Classification ID: 68T37
Mathematics Subject Classification ID: 68T05
Mathematics Subject Classification ID: 62H30
zbMATH DE Number: 5304391
MaRDI profile type: Publication
OpenAlex ID: W2003080545
cites work: Missing data
cites work: Rough sets
cites work: Q4709294
cites work: Q4950073
cites work: Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing
cites work: Rough set approach to incomplete information systems
description: scientific article; zbMATH DE number 5304391