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Generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving MADM problems
Harmonic mean is suitable for algebraic calculation and other mathematical treatments and also suitable for directly aggregated negative indicators. In many different situations, harmonic mean improves the flexibility. In this paper, we develop some new aggregation operators under neutrosophic envir...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8503884/ https://www.ncbi.nlm.nih.gov/pubmed/34659583 http://dx.doi.org/10.1007/s12652-021-03509-x |
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author | Paulraj, S. Tamilarasi, G. |
author_facet | Paulraj, S. Tamilarasi, G. |
author_sort | Paulraj, S. |
collection | PubMed |
description | Harmonic mean is suitable for algebraic calculation and other mathematical treatments and also suitable for directly aggregated negative indicators. In many different situations, harmonic mean improves the flexibility. In this paper, we develop some new aggregation operators under neutrosophic environment and apply with multi attribute decision making (MADM) problems. First, we provide a Single valued trapezoidal neutrosophic Generalized ordered weighted harmonic averaging(SVTNGOWHA) operator which is the extension of single valued trapezoidal neutrosophic ordered weighted harmonic averaging (SVTNOWHA) operator. To fix the operators on the mount, we have tested these methods in few illustrative examples, and the results have been presented. |
format | Online Article Text |
id | pubmed-8503884 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-85038842021-10-12 Generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving MADM problems Paulraj, S. Tamilarasi, G. J Ambient Intell Humaniz Comput Original Research Harmonic mean is suitable for algebraic calculation and other mathematical treatments and also suitable for directly aggregated negative indicators. In many different situations, harmonic mean improves the flexibility. In this paper, we develop some new aggregation operators under neutrosophic environment and apply with multi attribute decision making (MADM) problems. First, we provide a Single valued trapezoidal neutrosophic Generalized ordered weighted harmonic averaging(SVTNGOWHA) operator which is the extension of single valued trapezoidal neutrosophic ordered weighted harmonic averaging (SVTNOWHA) operator. To fix the operators on the mount, we have tested these methods in few illustrative examples, and the results have been presented. Springer Berlin Heidelberg 2021-10-11 2022 /pmc/articles/PMC8503884/ /pubmed/34659583 http://dx.doi.org/10.1007/s12652-021-03509-x Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 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 | Original Research Paulraj, S. Tamilarasi, G. Generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving MADM problems |
title | Generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving MADM problems |
title_full | Generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving MADM problems |
title_fullStr | Generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving MADM problems |
title_full_unstemmed | Generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving MADM problems |
title_short | Generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving MADM problems |
title_sort | generalized ordered weighted harmonic averaging operator with trapezoidal neutrosophic numbers for solving madm problems |
topic | Original Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8503884/ https://www.ncbi.nlm.nih.gov/pubmed/34659583 http://dx.doi.org/10.1007/s12652-021-03509-x |
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