A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring

The present paper is concerned with the study of the quality of life index. Such an index has become an important index for measuring the well-being of individuals. However, the quality of life index is always subjective, intangible, and often hard to quantify with precision due to the lack of quant...

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Main Authors: Majed S. Balalaa, Anouar Ben Mabrouk
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/8/4058
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author Majed S. Balalaa
Anouar Ben Mabrouk
author_facet Majed S. Balalaa
Anouar Ben Mabrouk
author_sort Majed S. Balalaa
collection DOAJ
description The present paper is concerned with the study of the quality of life index. Such an index has become an important index for measuring the well-being of individuals. However, the quality of life index is always subjective, intangible, and often hard to quantify with precision due to the lack of quantitative models. The main goal of the present paper is thus to propose a mathematical, quantitative model for the measurement of a quality of life index. The main novelty is firstly the construction of a wavelet dynamic multiscale model to quantify and investigate the effect of time scale on the quality of life index measuring. The proposed procedure is acted empirically on a sample corresponding to Saudi Arabia as a case study during the period from 2003 to 2020 as part of the 2030 vision plan. Saudi Arabia has implemented the so-called 2030 vision plan where quality of life improvement is one of the main goals. The findings show that wavelets are capable of localizing the time-wise behavior of the index contrarily to classical studies, which estimate a global view of the index. Moreover, the study shows the link between the quality of life behavior and many other indices.
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spelling doaj.art-61dab42d02794fb483d331ac550855da2023-12-01T00:44:24ZengMDPI AGApplied Sciences2076-34172022-04-01128405810.3390/app12084058A Wavelet Multiscale Mathematical Model for Quality of Life Index MeasuringMajed S. Balalaa0Anouar Ben Mabrouk1Deanship of Public Relations and Media, University of Tabuk, Tabuk 47512, Saudi ArabiaLaboratory of Algebra, Number Theory and Nonlinear Analysis, Department of Mathematics, Faculty of Sciences, University of Monastir, Avenue of the Environment, Monastir 5019, TunisiaThe present paper is concerned with the study of the quality of life index. Such an index has become an important index for measuring the well-being of individuals. However, the quality of life index is always subjective, intangible, and often hard to quantify with precision due to the lack of quantitative models. The main goal of the present paper is thus to propose a mathematical, quantitative model for the measurement of a quality of life index. The main novelty is firstly the construction of a wavelet dynamic multiscale model to quantify and investigate the effect of time scale on the quality of life index measuring. The proposed procedure is acted empirically on a sample corresponding to Saudi Arabia as a case study during the period from 2003 to 2020 as part of the 2030 vision plan. Saudi Arabia has implemented the so-called 2030 vision plan where quality of life improvement is one of the main goals. The findings show that wavelets are capable of localizing the time-wise behavior of the index contrarily to classical studies, which estimate a global view of the index. Moreover, the study shows the link between the quality of life behavior and many other indices.https://www.mdpi.com/2076-3417/12/8/4058waveletsmultiscalequality of lifemathematical models
spellingShingle Majed S. Balalaa
Anouar Ben Mabrouk
A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring
Applied Sciences
wavelets
multiscale
quality of life
mathematical models
title A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring
title_full A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring
title_fullStr A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring
title_full_unstemmed A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring
title_short A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring
title_sort wavelet multiscale mathematical model for quality of life index measuring
topic wavelets
multiscale
quality of life
mathematical models
url https://www.mdpi.com/2076-3417/12/8/4058
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