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A Method to Dynamic Stochastic Multicriteria Decision Making with Log-Normally Distributed Random Variables
We investigate the dynamic stochastic multicriteria decision making (SMCDM) problems, in which the criterion values take the form of log-normally distributed random variables, and the argument information is collected from different periods. We propose two new geometric aggregation operators, such a...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2013
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3804394/ https://www.ncbi.nlm.nih.gov/pubmed/24223501 http://dx.doi.org/10.1155/2013/202085 |
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author | Wang, Xin-Fan Wang, Jian-Qiang Deng, Sheng-Yue |
author_facet | Wang, Xin-Fan Wang, Jian-Qiang Deng, Sheng-Yue |
author_sort | Wang, Xin-Fan |
collection | PubMed |
description | We investigate the dynamic stochastic multicriteria decision making (SMCDM) problems, in which the criterion values take the form of log-normally distributed random variables, and the argument information is collected from different periods. We propose two new geometric aggregation operators, such as the log-normal distribution weighted geometric (LNDWG) operator and the dynamic log-normal distribution weighted geometric (DLNDWG) operator, and develop a method for dynamic SMCDM with log-normally distributed random variables. This method uses the DLNDWG operator and the LNDWG operator to aggregate the log-normally distributed criterion values, utilizes the entropy model of Shannon to generate the time weight vector, and utilizes the expectation values and variances of log-normal distributions to rank the alternatives and select the best one. Finally, an example is given to illustrate the feasibility and effectiveness of this developed method. |
format | Online Article Text |
id | pubmed-3804394 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
spelling | pubmed-38043942013-11-10 A Method to Dynamic Stochastic Multicriteria Decision Making with Log-Normally Distributed Random Variables Wang, Xin-Fan Wang, Jian-Qiang Deng, Sheng-Yue ScientificWorldJournal Research Article We investigate the dynamic stochastic multicriteria decision making (SMCDM) problems, in which the criterion values take the form of log-normally distributed random variables, and the argument information is collected from different periods. We propose two new geometric aggregation operators, such as the log-normal distribution weighted geometric (LNDWG) operator and the dynamic log-normal distribution weighted geometric (DLNDWG) operator, and develop a method for dynamic SMCDM with log-normally distributed random variables. This method uses the DLNDWG operator and the LNDWG operator to aggregate the log-normally distributed criterion values, utilizes the entropy model of Shannon to generate the time weight vector, and utilizes the expectation values and variances of log-normal distributions to rank the alternatives and select the best one. Finally, an example is given to illustrate the feasibility and effectiveness of this developed method. Hindawi Publishing Corporation 2013-09-26 /pmc/articles/PMC3804394/ /pubmed/24223501 http://dx.doi.org/10.1155/2013/202085 Text en Copyright © 2013 Xin-Fan Wang et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Research Article Wang, Xin-Fan Wang, Jian-Qiang Deng, Sheng-Yue A Method to Dynamic Stochastic Multicriteria Decision Making with Log-Normally Distributed Random Variables |
title | A Method to Dynamic Stochastic Multicriteria Decision Making with Log-Normally Distributed Random Variables |
title_full | A Method to Dynamic Stochastic Multicriteria Decision Making with Log-Normally Distributed Random Variables |
title_fullStr | A Method to Dynamic Stochastic Multicriteria Decision Making with Log-Normally Distributed Random Variables |
title_full_unstemmed | A Method to Dynamic Stochastic Multicriteria Decision Making with Log-Normally Distributed Random Variables |
title_short | A Method to Dynamic Stochastic Multicriteria Decision Making with Log-Normally Distributed Random Variables |
title_sort | method to dynamic stochastic multicriteria decision making with log-normally distributed random variables |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3804394/ https://www.ncbi.nlm.nih.gov/pubmed/24223501 http://dx.doi.org/10.1155/2013/202085 |
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