Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets

The concept of trapezoidal valued hesitant fuzzy set is introduced. Notion for distance between any two trapezoidal valued hesitant fuzzy elements is given. Using this proposed distance measure, we extend the technique for order preference by similarity to ideal solution for trapezoidal valued hesit...

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Detalles Bibliográficos
Autores principales: Rashid, Tabasam, Husnine, Syed Muhammad
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/PMC4123516/
https://www.ncbi.nlm.nih.gov/pubmed/25133219
http://dx.doi.org/10.1155/2014/304834
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author Rashid, Tabasam
Husnine, Syed Muhammad
author_facet Rashid, Tabasam
Husnine, Syed Muhammad
author_sort Rashid, Tabasam
collection PubMed
description The concept of trapezoidal valued hesitant fuzzy set is introduced. Notion for distance between any two trapezoidal valued hesitant fuzzy elements is given. Using this proposed distance measure, we extend the technique for order preference by similarity to ideal solution for trapezoidal valued hesitant fuzzy sets. An example is constructed to show usefulness of this extension for multicriteria group decision making, where the opinions about the criteria values are expressed as trapezoidal valued hesitant fuzzy set.
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spelling pubmed-41235162014-08-17 Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets Rashid, Tabasam Husnine, Syed Muhammad ScientificWorldJournal Research Article The concept of trapezoidal valued hesitant fuzzy set is introduced. Notion for distance between any two trapezoidal valued hesitant fuzzy elements is given. Using this proposed distance measure, we extend the technique for order preference by similarity to ideal solution for trapezoidal valued hesitant fuzzy sets. An example is constructed to show usefulness of this extension for multicriteria group decision making, where the opinions about the criteria values are expressed as trapezoidal valued hesitant fuzzy set. Hindawi Publishing Corporation 2014-07-14 /pmc/articles/PMC4123516/ /pubmed/25133219 http://dx.doi.org/10.1155/2014/304834 Text en Copyright © 2014 T. Rashid and S. M. Husnine. 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
Rashid, Tabasam
Husnine, Syed Muhammad
Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets
title Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets
title_full Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets
title_fullStr Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets
title_full_unstemmed Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets
title_short Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets
title_sort multicriteria group decision making by using trapezoidal valued hesitant fuzzy sets
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4123516/
https://www.ncbi.nlm.nih.gov/pubmed/25133219
http://dx.doi.org/10.1155/2014/304834
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