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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...

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Autores principales: Barukab, Omar, Abdullah, Saleem, Ashraf, Shahzaib, Arif, Muhammad, Khan, Sher Afzal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
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.
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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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