About: On the analytic hierarchy process with conflicting criteria

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Description	In the Analytic Hierarchy Process (AHP) developed by T. L. Saaty elements from one hierarchical level (such as alternatives) are pair-wise compared with regard to each element from immediately higher level of hierarchy (e.g. by criteria) on 1-9 scale. By this procedure weights of criteria are established by the eigenvalue method and the best alternative is found with regard to a given goal. However, in real-world multiple criteria decision making (MCDM) problems some criterion might be in conflict with other criteria, but this problem is completely neglected in the standard AHP. The aim of the article is to propose a new method for the evaluation of criteria weights based both on their pair-wise comparisons and the degree of a conflict/agreement among criteria. This degree for each pair of alternatives is expressed by a value from [-1,1] interval, where positive values denote an agreement, while negative values denote a conflict, and all the degrees form a conflict matrix. Information from the conflict matrix is converted into criteria (sub)weights, and the final weights of criteria are given as an aggregation of weights from pair-wise comparisons and from the conflict matrix. The use of the method is illustrated by an example. In the Analytic Hierarchy Process (AHP) developed by T. L. Saaty elements from one hierarchical level (such as alternatives) are pair-wise compared with regard to each element from immediately higher level of hierarchy (e.g. by criteria) on 1-9 scale. By this procedure weights of criteria are established by the eigenvalue method and the best alternative is found with regard to a given goal. However, in real-world multiple criteria decision making (MCDM) problems some criterion might be in conflict with other criteria, but this problem is completely neglected in the standard AHP. The aim of the article is to propose a new method for the evaluation of criteria weights based both on their pair-wise comparisons and the degree of a conflict/agreement among criteria. This degree for each pair of alternatives is expressed by a value from [-1,1] interval, where positive values denote an agreement, while negative values denote a conflict, and all the degrees form a conflict matrix. Information from the conflict matrix is converted into criteria (sub)weights, and the final weights of criteria are given as an aggregation of weights from pair-wise comparisons and from the conflict matrix. The use of the method is illustrated by an example. (en)
Title	On the analytic hierarchy process with conflicting criteria On the analytic hierarchy process with conflicting criteria (en)
skos:prefLabel	On the analytic hierarchy process with conflicting criteria On the analytic hierarchy process with conflicting criteria (en)
skos:notation	RIV/47813059:19520/13:#0002184!RIV14-GA0-19520___
http://linked.open...avai/predkladatel	Obchodně podnikatelská fakulta v Karviné
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA402/09/0405)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Mazurek, Jiří Kiszová, Zuzana
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Obchodně podnikatelská fakulta v Karviné
http://linked.open...dnocenehoVysledku	93839
http://linked.open...ai/riv/idVysledku	RIV/47813059:19520/13:#0002184
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Analytic hierarchy process (AHP); conflicting criteria; criteria weights; multiple criteria decision making (en)
http://linked.open.../riv/klicoveSlovo	Analytic hierarchy process (AHP) criteria weights multiple criteria decision making conflicting criteria
http://linked.open...ontrolniKodProRIV	[B1034F14461B]
http://linked.open...v/mistoKonaniAkce	Jihlava
http://linked.open...i/riv/mistoVydani	Jihlava
http://linked.open...i/riv/nazevZdroje	Proceedings of the 31st International Conference on Mathematical Methods in Economics 2013
http://linked.open...in/vavai/riv/obor	AH
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Development of Non-standard Optimization Methods and their Applications in Economy and Management
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	KISZOVÁ, Zuzana MAZUREK, Jiří
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2013-09-11 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Vysoká škola polytechnická Jihlava
https://schema.org/isbn	978-80-87035-76-4
http://localhost/t...ganizacniJednotka	19520

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