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Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making
Linguistic neutrosophic numbers (LNNs) can easily describe the incomplete and indeterminate information by the truth, indeterminacy, and falsity linguistic variables (LVs), and the Hamy mean (HM) operator is a good tool to deal with multiple attribute group decision making (MAGDM) problems because i...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5841783/ https://www.ncbi.nlm.nih.gov/pubmed/29513697 http://dx.doi.org/10.1371/journal.pone.0193027 |
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author | Liu, Peide You, Xinli |
author_facet | Liu, Peide You, Xinli |
author_sort | Liu, Peide |
collection | PubMed |
description | Linguistic neutrosophic numbers (LNNs) can easily describe the incomplete and indeterminate information by the truth, indeterminacy, and falsity linguistic variables (LVs), and the Hamy mean (HM) operator is a good tool to deal with multiple attribute group decision making (MAGDM) problems because it can capture the interrelationship among the multi-input arguments. Motivated by these ideas, we develop linguistic neutrosophic HM (LNHM) operator and weighted linguistic neutrosophic HM (WLNHM) operator. Some desirable properties and special cases of two operators are discussed in detail. Furthermore, considering the situation in which the decision makers (DMs) can’t give the suitable weight of each attribute directly from various reasons, we propose the concept of entropy for linguistic neutrosophic set (LNS) to obtain the attribute weight vector objectively, and then the method for MAGDM problems with LNNs is proposed, and some examples are used to illustrate the effectiveness and superiority of the proposed method by comparing with the existing methods. |
format | Online Article Text |
id | pubmed-5841783 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-58417832018-03-23 Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making Liu, Peide You, Xinli PLoS One Research Article Linguistic neutrosophic numbers (LNNs) can easily describe the incomplete and indeterminate information by the truth, indeterminacy, and falsity linguistic variables (LVs), and the Hamy mean (HM) operator is a good tool to deal with multiple attribute group decision making (MAGDM) problems because it can capture the interrelationship among the multi-input arguments. Motivated by these ideas, we develop linguistic neutrosophic HM (LNHM) operator and weighted linguistic neutrosophic HM (WLNHM) operator. Some desirable properties and special cases of two operators are discussed in detail. Furthermore, considering the situation in which the decision makers (DMs) can’t give the suitable weight of each attribute directly from various reasons, we propose the concept of entropy for linguistic neutrosophic set (LNS) to obtain the attribute weight vector objectively, and then the method for MAGDM problems with LNNs is proposed, and some examples are used to illustrate the effectiveness and superiority of the proposed method by comparing with the existing methods. Public Library of Science 2018-03-07 /pmc/articles/PMC5841783/ /pubmed/29513697 http://dx.doi.org/10.1371/journal.pone.0193027 Text en © 2018 Liu, You http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Liu, Peide You, Xinli Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making |
title | Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making |
title_full | Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making |
title_fullStr | Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making |
title_full_unstemmed | Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making |
title_short | Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making |
title_sort | some linguistic neutrosophic hamy mean operators and their application to multi-attribute group decision making |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5841783/ https://www.ncbi.nlm.nih.gov/pubmed/29513697 http://dx.doi.org/10.1371/journal.pone.0193027 |
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