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Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines
Safety is the fundamental guarantee for the sustainable development of mining enterprises. As the safety evaluation of mines is a complex system engineering project, consistent and inconsistent, even hesitant evaluation information may be contained simultaneously. Linguistic neutrosophic numbers (LN...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6813029/ https://www.ncbi.nlm.nih.gov/pubmed/31648224 http://dx.doi.org/10.1371/journal.pone.0224090 |
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author | Luo, Suizhi Liang, Weizhang Zhao, Guoyan |
author_facet | Luo, Suizhi Liang, Weizhang Zhao, Guoyan |
author_sort | Luo, Suizhi |
collection | PubMed |
description | Safety is the fundamental guarantee for the sustainable development of mining enterprises. As the safety evaluation of mines is a complex system engineering project, consistent and inconsistent, even hesitant evaluation information may be contained simultaneously. Linguistic neutrosophic numbers (LNNs), as the extensions of linguistic terms, are effective means to entirely and qualitatively convey such evaluation information with three independent linguistic membership functions. The aim of our work is to investigate several mean operators so that the safety evaluation issues of mines are addressed under linguistic neutrosophic environment. During the safety evaluation process of mines, many influence factors should be considered, and some of them may interact with each other. To this end, the Muirhead mean (MM) operators are adopted as they are powerful tools to deal with such situation. On the other hand, to diminish the impacts of irrational data provided by evaluators, the power average (PA) operators are under consideration. Thus, with the combination of MM and PA, the power MM operators and weighted power MM operators are proposed to aggregate linguistic neutrosophic information. Meanwhile, some key points and special cases are studied. The advantages of these operators are that not only the interrelations among any number of inputs can be reflected, but also the effects of unreasonable information can be reduced. Thereafter, a new linguistic neutrosophic ranking technique based on these operators is developed to evaluate the mine safety. Moreover, in-depth discussions are made to show the robust and flexible abilities of our method. Results manifest that the proposed method is successful in dealing with mine safety evaluation issues within linguistic neutrosophic circumstances. |
format | Online Article Text |
id | pubmed-6813029 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-68130292019-11-02 Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines Luo, Suizhi Liang, Weizhang Zhao, Guoyan PLoS One Research Article Safety is the fundamental guarantee for the sustainable development of mining enterprises. As the safety evaluation of mines is a complex system engineering project, consistent and inconsistent, even hesitant evaluation information may be contained simultaneously. Linguistic neutrosophic numbers (LNNs), as the extensions of linguistic terms, are effective means to entirely and qualitatively convey such evaluation information with three independent linguistic membership functions. The aim of our work is to investigate several mean operators so that the safety evaluation issues of mines are addressed under linguistic neutrosophic environment. During the safety evaluation process of mines, many influence factors should be considered, and some of them may interact with each other. To this end, the Muirhead mean (MM) operators are adopted as they are powerful tools to deal with such situation. On the other hand, to diminish the impacts of irrational data provided by evaluators, the power average (PA) operators are under consideration. Thus, with the combination of MM and PA, the power MM operators and weighted power MM operators are proposed to aggregate linguistic neutrosophic information. Meanwhile, some key points and special cases are studied. The advantages of these operators are that not only the interrelations among any number of inputs can be reflected, but also the effects of unreasonable information can be reduced. Thereafter, a new linguistic neutrosophic ranking technique based on these operators is developed to evaluate the mine safety. Moreover, in-depth discussions are made to show the robust and flexible abilities of our method. Results manifest that the proposed method is successful in dealing with mine safety evaluation issues within linguistic neutrosophic circumstances. Public Library of Science 2019-10-24 /pmc/articles/PMC6813029/ /pubmed/31648224 http://dx.doi.org/10.1371/journal.pone.0224090 Text en © 2019 Luo et al 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 Luo, Suizhi Liang, Weizhang Zhao, Guoyan Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines |
title | Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines |
title_full | Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines |
title_fullStr | Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines |
title_full_unstemmed | Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines |
title_short | Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines |
title_sort | linguistic neutrosophic power muirhead mean operators for safety evaluation of mines |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6813029/ https://www.ncbi.nlm.nih.gov/pubmed/31648224 http://dx.doi.org/10.1371/journal.pone.0224090 |
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