An Extension of Totohasina’s Normalization Theory of Quality Measures of Association Rules

In the context of binary data mining, for unifying view on probabilistic quality measures of association rules, Totohasina’s theory of normalization of quality measures of association rules primarily based on affine homeomorphism presents some drawbacks. Indeed, it cannot normalize some interestingn...

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Main Authors: Armand, André Totohasina, Daniel Rajaonasy Feno
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2019/7829805
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author Armand
André Totohasina
Daniel Rajaonasy Feno
author_facet Armand
André Totohasina
Daniel Rajaonasy Feno
author_sort Armand
collection DOAJ
description In the context of binary data mining, for unifying view on probabilistic quality measures of association rules, Totohasina’s theory of normalization of quality measures of association rules primarily based on affine homeomorphism presents some drawbacks. Indeed, it cannot normalize some interestingness measures which are explained below. This paper presents an extension of it, as a new normalization method based on proper homographic homeomorphism that appears most consequent.
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institution Kabale University
issn 0161-1712
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language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2e81a5344f8f411bb3933d1f116e8de32025-02-03T06:00:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252019-01-01201910.1155/2019/78298057829805An Extension of Totohasina’s Normalization Theory of Quality Measures of Association RulesArmand0André Totohasina1Daniel Rajaonasy Feno2Lycée Mixte Antsiranana, Antsiranana, MadagascarDepartment of Mathematics and Informatics Application, University of Antsiranana, MadagascarDepartment of Mathematics and Informatics Application, University of Toamasina, MadagascarIn the context of binary data mining, for unifying view on probabilistic quality measures of association rules, Totohasina’s theory of normalization of quality measures of association rules primarily based on affine homeomorphism presents some drawbacks. Indeed, it cannot normalize some interestingness measures which are explained below. This paper presents an extension of it, as a new normalization method based on proper homographic homeomorphism that appears most consequent.http://dx.doi.org/10.1155/2019/7829805
spellingShingle Armand
André Totohasina
Daniel Rajaonasy Feno
An Extension of Totohasina’s Normalization Theory of Quality Measures of Association Rules
International Journal of Mathematics and Mathematical Sciences
title An Extension of Totohasina’s Normalization Theory of Quality Measures of Association Rules
title_full An Extension of Totohasina’s Normalization Theory of Quality Measures of Association Rules
title_fullStr An Extension of Totohasina’s Normalization Theory of Quality Measures of Association Rules
title_full_unstemmed An Extension of Totohasina’s Normalization Theory of Quality Measures of Association Rules
title_short An Extension of Totohasina’s Normalization Theory of Quality Measures of Association Rules
title_sort extension of totohasina s normalization theory of quality measures of association rules
url http://dx.doi.org/10.1155/2019/7829805
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