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A New Approach to Fuzzy TOPSIS Method Based on Entropy Measure under Spherical Fuzzy Information
Spherical fuzzy set (SFS) is one of the most important and extensive concept to accommodate more uncertainties than existing fuzzy set structures. In this article, we will describe a novel enhanced TOPSIS-based procedure for tackling multi attribute group decision making (MAGDM) issues under spheric...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514576/ http://dx.doi.org/10.3390/e21121231 |
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author | Barukab, Omar Abdullah, Saleem Ashraf, Shahzaib Arif, Muhammad Khan, Sher Afzal |
author_facet | Barukab, Omar Abdullah, Saleem Ashraf, Shahzaib Arif, Muhammad Khan, Sher Afzal |
author_sort | Barukab, Omar |
collection | PubMed |
description | Spherical fuzzy set (SFS) is one of the most important and extensive concept to accommodate more uncertainties than existing fuzzy set structures. In this article, we will describe a novel enhanced TOPSIS-based procedure for tackling multi attribute group decision making (MAGDM) issues under spherical fuzzy setting, in which the weights of both decision-makers (DMs) and criteria are totally unknown. First, we study the notion of SFSs, the score and accuracy functions of SFSs and their basic operating laws. In addition, defined the generalized distance measure for SFSs based on spherical fuzzy entropy measure to compute the unknown weights information. Secondly, the spherical fuzzy information-based decision-making technique for MAGDM is presented. Lastly, an illustrative example is delivered with robot selection to reveal the efficiency of the proposed spherical fuzzy decision support approach, along with the discussion of comparative results, to prove that their results are feasible and credible. |
format | Online Article Text |
id | pubmed-7514576 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75145762020-11-09 A New Approach to Fuzzy TOPSIS Method Based on Entropy Measure under Spherical Fuzzy Information Barukab, Omar Abdullah, Saleem Ashraf, Shahzaib Arif, Muhammad Khan, Sher Afzal Entropy (Basel) Article Spherical fuzzy set (SFS) is one of the most important and extensive concept to accommodate more uncertainties than existing fuzzy set structures. In this article, we will describe a novel enhanced TOPSIS-based procedure for tackling multi attribute group decision making (MAGDM) issues under spherical fuzzy setting, in which the weights of both decision-makers (DMs) and criteria are totally unknown. First, we study the notion of SFSs, the score and accuracy functions of SFSs and their basic operating laws. In addition, defined the generalized distance measure for SFSs based on spherical fuzzy entropy measure to compute the unknown weights information. Secondly, the spherical fuzzy information-based decision-making technique for MAGDM is presented. Lastly, an illustrative example is delivered with robot selection to reveal the efficiency of the proposed spherical fuzzy decision support approach, along with the discussion of comparative results, to prove that their results are feasible and credible. MDPI 2019-12-16 /pmc/articles/PMC7514576/ http://dx.doi.org/10.3390/e21121231 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Barukab, Omar Abdullah, Saleem Ashraf, Shahzaib Arif, Muhammad Khan, Sher Afzal A New Approach to Fuzzy TOPSIS Method Based on Entropy Measure under Spherical Fuzzy Information |
title | A New Approach to Fuzzy TOPSIS Method Based on Entropy Measure under Spherical Fuzzy Information |
title_full | A New Approach to Fuzzy TOPSIS Method Based on Entropy Measure under Spherical Fuzzy Information |
title_fullStr | A New Approach to Fuzzy TOPSIS Method Based on Entropy Measure under Spherical Fuzzy Information |
title_full_unstemmed | A New Approach to Fuzzy TOPSIS Method Based on Entropy Measure under Spherical Fuzzy Information |
title_short | A New Approach to Fuzzy TOPSIS Method Based on Entropy Measure under Spherical Fuzzy Information |
title_sort | new approach to fuzzy topsis method based on entropy measure under spherical fuzzy information |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514576/ http://dx.doi.org/10.3390/e21121231 |
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