Transformation of criteria with a-priori chosen optimal values
Aim of multiple criteria decision-aid (MCDA) methods is to find the best alternative among the ones that are available or to rank alternatives in the order of preference. There are the following core pillars of the methods: the set of criteria and matrix with values of criteria that characterise the...
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Format: | Article |
Language: | English |
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Vilnius University Press
2016-12-01
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Series: | Lietuvos Matematikos Rinkinys |
Subjects: | |
Online Access: | https://www.journals.vu.lt/LMR/article/view/14956 |
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author | Askoldas Podviezko Valentinas Podvezko |
author_facet | Askoldas Podviezko Valentinas Podvezko |
author_sort | Askoldas Podviezko |
collection | DOAJ |
description | Aim of multiple criteria decision-aid (MCDA) methods is to find the best alternative among the ones that are available or to rank alternatives in the order of preference. There are the following core pillars of the methods: the set of criteria and matrix with values of criteria that characterise the evaluated alternatives (decision matrix); and vector of weights that reflect relative importance of criteria. Usually, two types of criteria are used by researchers. Maximising criteria (e.g. profits) reflect a better situation whenever the larger value has been attained. While in case a criterion is minimising (e.g. costs), the better situation is reflected when its value is smaller. Such situations, when the best value of a criterion has a certain value, which differs from the maximal or the minimal, are usually not considered. This paper aims to fill this gap. Such criteria will be named as criteria with a-priori chosen optimal values. The aim of the paper is to propose appropriate types of transformation for criteria with a-priori chosen optimal values. Such transformations appear to be general and can be used with all three types of criteria. |
first_indexed | 2024-12-21T04:56:36Z |
format | Article |
id | doaj.art-77160d284b404ac390aec00c96fbbbbe |
institution | Directory Open Access Journal |
issn | 0132-2818 2335-898X |
language | English |
last_indexed | 2024-12-21T04:56:36Z |
publishDate | 2016-12-01 |
publisher | Vilnius University Press |
record_format | Article |
series | Lietuvos Matematikos Rinkinys |
spelling | doaj.art-77160d284b404ac390aec00c96fbbbbe2022-12-21T19:15:21ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2016-12-0157A10.15388/LMR.A.2016.12Transformation of criteria with a-priori chosen optimal valuesAskoldas Podviezko0Valentinas Podvezko1Mykolas Romeris UniversityVilnius Gediminas Technical UniversityAim of multiple criteria decision-aid (MCDA) methods is to find the best alternative among the ones that are available or to rank alternatives in the order of preference. There are the following core pillars of the methods: the set of criteria and matrix with values of criteria that characterise the evaluated alternatives (decision matrix); and vector of weights that reflect relative importance of criteria. Usually, two types of criteria are used by researchers. Maximising criteria (e.g. profits) reflect a better situation whenever the larger value has been attained. While in case a criterion is minimising (e.g. costs), the better situation is reflected when its value is smaller. Such situations, when the best value of a criterion has a certain value, which differs from the maximal or the minimal, are usually not considered. This paper aims to fill this gap. Such criteria will be named as criteria with a-priori chosen optimal values. The aim of the paper is to propose appropriate types of transformation for criteria with a-priori chosen optimal values. Such transformations appear to be general and can be used with all three types of criteria.https://www.journals.vu.lt/LMR/article/view/14956multiple criteria decision aid methodstransformation of datanormalisationcriteria with a-priori chosen optimal values |
spellingShingle | Askoldas Podviezko Valentinas Podvezko Transformation of criteria with a-priori chosen optimal values Lietuvos Matematikos Rinkinys multiple criteria decision aid methods transformation of data normalisation criteria with a-priori chosen optimal values |
title | Transformation of criteria with a-priori chosen optimal values |
title_full | Transformation of criteria with a-priori chosen optimal values |
title_fullStr | Transformation of criteria with a-priori chosen optimal values |
title_full_unstemmed | Transformation of criteria with a-priori chosen optimal values |
title_short | Transformation of criteria with a-priori chosen optimal values |
title_sort | transformation of criteria with a priori chosen optimal values |
topic | multiple criteria decision aid methods transformation of data normalisation criteria with a-priori chosen optimal values |
url | https://www.journals.vu.lt/LMR/article/view/14956 |
work_keys_str_mv | AT askoldaspodviezko transformationofcriteriawithapriorichosenoptimalvalues AT valentinaspodvezko transformationofcriteriawithapriorichosenoptimalvalues |