A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis

A method based on grey relational analysis and D-S theory of evidence is proposed for fuzzy soft sets in decision making. Firstly, grey relational analysis is used to calculate grey mean relational degrees and determine uncertain degrees of parameters. Then based on uncertain degrees, suitable mass...

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Detalles Bibliográficos
Autores principales: Xie, Ningxin, Wen, Guoqiu, Li, Zhaowen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055226/
https://www.ncbi.nlm.nih.gov/pubmed/24982687
http://dx.doi.org/10.1155/2014/581316
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author Xie, Ningxin
Wen, Guoqiu
Li, Zhaowen
author_facet Xie, Ningxin
Wen, Guoqiu
Li, Zhaowen
author_sort Xie, Ningxin
collection PubMed
description A method based on grey relational analysis and D-S theory of evidence is proposed for fuzzy soft sets in decision making. Firstly, grey relational analysis is used to calculate grey mean relational degrees and determine uncertain degrees of parameters. Then based on uncertain degrees, suitable mass functions of different independent alternatives with different parameters can be constructed. Next, D-S rule of evidence combination is applied to aggregate these alternatives into a collective alternative. Finally, these alternatives are ranked and the best alternative(s) are obtained. Moreover, the effectiveness and feasibility of this method are demonstrated by comparing with the mean potentiality approach and giving an application to medical diagnosis.
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spelling pubmed-40552262014-06-30 A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis Xie, Ningxin Wen, Guoqiu Li, Zhaowen Comput Math Methods Med Research Article A method based on grey relational analysis and D-S theory of evidence is proposed for fuzzy soft sets in decision making. Firstly, grey relational analysis is used to calculate grey mean relational degrees and determine uncertain degrees of parameters. Then based on uncertain degrees, suitable mass functions of different independent alternatives with different parameters can be constructed. Next, D-S rule of evidence combination is applied to aggregate these alternatives into a collective alternative. Finally, these alternatives are ranked and the best alternative(s) are obtained. Moreover, the effectiveness and feasibility of this method are demonstrated by comparing with the mean potentiality approach and giving an application to medical diagnosis. Hindawi Publishing Corporation 2014 2014-05-19 /pmc/articles/PMC4055226/ /pubmed/24982687 http://dx.doi.org/10.1155/2014/581316 Text en Copyright © 2014 Ningxin Xie et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Xie, Ningxin
Wen, Guoqiu
Li, Zhaowen
A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis
title A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis
title_full A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis
title_fullStr A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis
title_full_unstemmed A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis
title_short A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis
title_sort method for fuzzy soft sets in decision making based on grey relational analysis and d-s theory of evidence: application to medical diagnosis
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055226/
https://www.ncbi.nlm.nih.gov/pubmed/24982687
http://dx.doi.org/10.1155/2014/581316
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