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Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines

Land reclamation has become a significant way for the improvement of ecological environment in mining areas. When selecting the optimal land reclamation scheme, LNNs (linguistic neutrosophic numbers) are suitable to describe the complex fuzzy evaluation information through linguistic truth, indeterm...

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Autores principales: Liang, Weizhang, Zhao, Guoyan, Luo, Suizhi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6219779/
https://www.ncbi.nlm.nih.gov/pubmed/30399171
http://dx.doi.org/10.1371/journal.pone.0206178
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author Liang, Weizhang
Zhao, Guoyan
Luo, Suizhi
author_facet Liang, Weizhang
Zhao, Guoyan
Luo, Suizhi
author_sort Liang, Weizhang
collection PubMed
description Land reclamation has become a significant way for the improvement of ecological environment in mining areas. When selecting the optimal land reclamation scheme, LNNs (linguistic neutrosophic numbers) are suitable to describe the complex fuzzy evaluation information through linguistic truth, indeterminacy and falsity membership degrees. Furthermore, the Hamacher aggregation operators are good tools to handle multi-criteria decision making problems. Accordingly, the aim of this paper is to extend Hamacher aggregation operators with LNNs and then build a decision making framework for evaluating land reclamation schemes in mining areas. First, new operational laws of LNNs based on Hamacher t-norm and t-conorm are defined. Then, several linguistic neutrosophic Hamacher aggregation operators, including the linguistic neutrosophic Hamacher weighted mean aggregation operators and linguistic neutrosophic Hamacher hybrid weighted mean aggregation operators are developed. Meanwhile, their desirable properties are proved. Thereafter, a method for decision making with linguistic neutrosophic information based on these operators is proposed to deal with complex decision problems. At last, the validity of this method is confirmed by an illustrative example of evaluating the land reclamation schemes in mining areas. In addition, the impact of the parameter in extended Hamacher aggregation operators is discussed. The merits of the proposed method are also highlighted by comparing with other decision making methods. The results show that the proposed linguistic neutrosophic Hamacher aggregation operators have great flexibility and advantages, and can provide powerful ways for the evaluation of land reclamation schemes.
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spelling pubmed-62197792018-11-19 Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines Liang, Weizhang Zhao, Guoyan Luo, Suizhi PLoS One Research Article Land reclamation has become a significant way for the improvement of ecological environment in mining areas. When selecting the optimal land reclamation scheme, LNNs (linguistic neutrosophic numbers) are suitable to describe the complex fuzzy evaluation information through linguistic truth, indeterminacy and falsity membership degrees. Furthermore, the Hamacher aggregation operators are good tools to handle multi-criteria decision making problems. Accordingly, the aim of this paper is to extend Hamacher aggregation operators with LNNs and then build a decision making framework for evaluating land reclamation schemes in mining areas. First, new operational laws of LNNs based on Hamacher t-norm and t-conorm are defined. Then, several linguistic neutrosophic Hamacher aggregation operators, including the linguistic neutrosophic Hamacher weighted mean aggregation operators and linguistic neutrosophic Hamacher hybrid weighted mean aggregation operators are developed. Meanwhile, their desirable properties are proved. Thereafter, a method for decision making with linguistic neutrosophic information based on these operators is proposed to deal with complex decision problems. At last, the validity of this method is confirmed by an illustrative example of evaluating the land reclamation schemes in mining areas. In addition, the impact of the parameter in extended Hamacher aggregation operators is discussed. The merits of the proposed method are also highlighted by comparing with other decision making methods. The results show that the proposed linguistic neutrosophic Hamacher aggregation operators have great flexibility and advantages, and can provide powerful ways for the evaluation of land reclamation schemes. Public Library of Science 2018-11-06 /pmc/articles/PMC6219779/ /pubmed/30399171 http://dx.doi.org/10.1371/journal.pone.0206178 Text en © 2018 Liang et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://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
Liang, Weizhang
Zhao, Guoyan
Luo, Suizhi
Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines
title Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines
title_full Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines
title_fullStr Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines
title_full_unstemmed Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines
title_short Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines
title_sort linguistic neutrosophic hamacher aggregation operators and the application in evaluating land reclamation schemes for mines
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6219779/
https://www.ncbi.nlm.nih.gov/pubmed/30399171
http://dx.doi.org/10.1371/journal.pone.0206178
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