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A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory

Decision-making, as a way to discover the preference of ranking, has been used in various fields. However, owing to the uncertainty in group decision-making, how to rank alternatives by incomplete pairwise comparisons has become an open issue. In this paper, an improved method is proposed for rankin...

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Detalles Bibliográficos
Autores principales: Pan, Dongbo, Lu, Xi, Liu, Juan, Deng, Yong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4163326/
https://www.ncbi.nlm.nih.gov/pubmed/25250393
http://dx.doi.org/10.1155/2014/904596
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author Pan, Dongbo
Lu, Xi
Liu, Juan
Deng, Yong
author_facet Pan, Dongbo
Lu, Xi
Liu, Juan
Deng, Yong
author_sort Pan, Dongbo
collection PubMed
description Decision-making, as a way to discover the preference of ranking, has been used in various fields. However, owing to the uncertainty in group decision-making, how to rank alternatives by incomplete pairwise comparisons has become an open issue. In this paper, an improved method is proposed for ranking of alternatives by incomplete pairwise comparisons using Dempster-Shafer evidence theory and information entropy. Firstly, taking the probability assignment of the chosen preference into consideration, the comparison of alternatives to each group is addressed. Experiments verified that the information entropy of the data itself can determine the different weight of each group's choices objectively. Numerical examples in group decision-making environments are used to test the effectiveness of the proposed method. Moreover, the divergence of ranking mechanism is analyzed briefly in conclusion section.
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spelling pubmed-41633262014-09-23 A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory Pan, Dongbo Lu, Xi Liu, Juan Deng, Yong ScientificWorldJournal Research Article Decision-making, as a way to discover the preference of ranking, has been used in various fields. However, owing to the uncertainty in group decision-making, how to rank alternatives by incomplete pairwise comparisons has become an open issue. In this paper, an improved method is proposed for ranking of alternatives by incomplete pairwise comparisons using Dempster-Shafer evidence theory and information entropy. Firstly, taking the probability assignment of the chosen preference into consideration, the comparison of alternatives to each group is addressed. Experiments verified that the information entropy of the data itself can determine the different weight of each group's choices objectively. Numerical examples in group decision-making environments are used to test the effectiveness of the proposed method. Moreover, the divergence of ranking mechanism is analyzed briefly in conclusion section. Hindawi Publishing Corporation 2014 2014-08-27 /pmc/articles/PMC4163326/ /pubmed/25250393 http://dx.doi.org/10.1155/2014/904596 Text en Copyright © 2014 Dongbo Pan 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
Pan, Dongbo
Lu, Xi
Liu, Juan
Deng, Yong
A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory
title A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory
title_full A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory
title_fullStr A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory
title_full_unstemmed A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory
title_short A Ranking Procedure by Incomplete Pairwise Comparisons Using Information Entropy and Dempster-Shafer Evidence Theory
title_sort ranking procedure by incomplete pairwise comparisons using information entropy and dempster-shafer evidence theory
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4163326/
https://www.ncbi.nlm.nih.gov/pubmed/25250393
http://dx.doi.org/10.1155/2014/904596
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