A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers

This paper presents an extension of the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method with objective criteria weights for Group Decision Making (GDM) with Interval Numbers (INs). The proposed method is an alternative to popular and often used methods that aggregate t...

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Autor principal:	Dariusz Kacprzak
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	interval numbers MCGDM TOPSIS entropy objective weights Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/ffc5169f6d3d43edadd1f9ffee59b83a
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spelling	oai:doaj.org-article:ffc5169f6d3d43edadd1f9ffee59b83a2021-11-25T17:29:50ZA Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers10.3390/e231114601099-4300https://doaj.org/article/ffc5169f6d3d43edadd1f9ffee59b83a2021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1460https://doaj.org/toc/1099-4300This paper presents an extension of the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method with objective criteria weights for Group Decision Making (GDM) with Interval Numbers (INs). The proposed method is an alternative to popular and often used methods that aggregate the decision matrices provided by the decision makers (DMs) into a single group matrix, which is the basis for determining objective criteria weights and ranking the alternatives. It does not use an aggregation operator, but a transformation of the decision matrices into criteria matrices, in the case of determining objective criteria weights, and into alternative matrices, in the case of the ranking of alternatives. This ensures that all the decision makers’ evaluations are taken into account instead of their certain average. The numerical example shows the ease of use of the proposed method, which can be implemented into common data analysis software such as Excel.Dariusz KacprzakMDPI AGarticleinterval numbersMCGDMTOPSISentropyobjective weightsScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1460, p 1460 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	interval numbers MCGDM TOPSIS entropy objective weights Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	interval numbers MCGDM TOPSIS entropy objective weights Science Q Astrophysics QB460-466 Physics QC1-999 Dariusz Kacprzak A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers
description	This paper presents an extension of the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method with objective criteria weights for Group Decision Making (GDM) with Interval Numbers (INs). The proposed method is an alternative to popular and often used methods that aggregate the decision matrices provided by the decision makers (DMs) into a single group matrix, which is the basis for determining objective criteria weights and ranking the alternatives. It does not use an aggregation operator, but a transformation of the decision matrices into criteria matrices, in the case of determining objective criteria weights, and into alternative matrices, in the case of the ranking of alternatives. This ensures that all the decision makers’ evaluations are taken into account instead of their certain average. The numerical example shows the ease of use of the proposed method, which can be implemented into common data analysis software such as Excel.
format	article
author	Dariusz Kacprzak
author_facet	Dariusz Kacprzak
author_sort	Dariusz Kacprzak
title	A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers
title_short	A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers
title_full	A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers
title_fullStr	A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers
title_full_unstemmed	A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers
title_sort	novel extension of the technique for order preference by similarity to ideal solution method with objective criteria weights for group decision making with interval numbers
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/ffc5169f6d3d43edadd1f9ffee59b83a
work_keys_str_mv	AT dariuszkacprzak anovelextensionofthetechniquefororderpreferencebysimilaritytoidealsolutionmethodwithobjectivecriteriaweightsforgroupdecisionmakingwithintervalnumbers AT dariuszkacprzak novelextensionofthetechniquefororderpreferencebysimilaritytoidealsolutionmethodwithobjectivecriteriaweightsforgroupdecisionmakingwithintervalnumbers
_version_	1718412325544787968

A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers

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