The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution

In this paper, the two-parameter Pareto lifetime distribution is considered with vague shape and scale parameters, where parameters are set as generalized intuitionistic fuzzy numbers. A new L-R type intuitionistic fuzzy number is introduced, and cuts of the new fuzzy set are provided. The generaliz...

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Autores principales: Roohanizadeh, Zahra, Baloui Jamkhaneh, Ezzatallah, Deiri, Einolah
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Application of Soft Computing
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9514204/
https://www.ncbi.nlm.nih.gov/pubmed/36186665
http://dx.doi.org/10.1007/s00500-022-07494-x
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author Roohanizadeh, Zahra
Baloui Jamkhaneh, Ezzatallah
Deiri, Einolah
author_facet Roohanizadeh, Zahra
Baloui Jamkhaneh, Ezzatallah
Deiri, Einolah
author_sort Roohanizadeh, Zahra
collection PubMed
description In this paper, the two-parameter Pareto lifetime distribution is considered with vague shape and scale parameters, where parameters are set as generalized intuitionistic fuzzy numbers. A new L-R type intuitionistic fuzzy number is introduced, and cuts of the new fuzzy set are provided. The generalized intuitionistic fuzzy reliability characteristics such as reliability, conditional reliability, hazard rate and mean time to failure functions are defined, along with the special case of the two-parameter Pareto generalized intuitionistic fuzzy reliability analysis. Furthermore, the series and parallel system reliability are evaluated by the generalized intuitionistic fuzzy sets. Finally, for certain cases of the fuzzy shape and scale parameters and cut set values, the generalized intuitionistic fuzzy reliability characteristics are provided and compared through several illustrative plots.
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spelling pubmed-95142042022-09-28 The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution Roohanizadeh, Zahra Baloui Jamkhaneh, Ezzatallah Deiri, Einolah Soft comput Application of Soft Computing In this paper, the two-parameter Pareto lifetime distribution is considered with vague shape and scale parameters, where parameters are set as generalized intuitionistic fuzzy numbers. A new L-R type intuitionistic fuzzy number is introduced, and cuts of the new fuzzy set are provided. The generalized intuitionistic fuzzy reliability characteristics such as reliability, conditional reliability, hazard rate and mean time to failure functions are defined, along with the special case of the two-parameter Pareto generalized intuitionistic fuzzy reliability analysis. Furthermore, the series and parallel system reliability are evaluated by the generalized intuitionistic fuzzy sets. Finally, for certain cases of the fuzzy shape and scale parameters and cut set values, the generalized intuitionistic fuzzy reliability characteristics are provided and compared through several illustrative plots. Springer Berlin Heidelberg 2022-09-27 2023 /pmc/articles/PMC9514204/ /pubmed/36186665 http://dx.doi.org/10.1007/s00500-022-07494-x Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022, Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Application of Soft Computing
Roohanizadeh, Zahra
Baloui Jamkhaneh, Ezzatallah
Deiri, Einolah
The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution
title The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution
title_full The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution
title_fullStr The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution
title_full_unstemmed The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution
title_short The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution
title_sort reliability analysis based on the generalized intuitionistic fuzzy two-parameter pareto distribution
topic Application of Soft Computing
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9514204/
https://www.ncbi.nlm.nih.gov/pubmed/36186665
http://dx.doi.org/10.1007/s00500-022-07494-x
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