Symmetric projection group approach for promoting homogeneity in the analytic hierarchy process

Abstract

The complexity of the socio-economic environment requires the involvement of a group of decision makers in the decision-making process. They can contribute the diversity of knowledge and experience that allow all the important aspects of the decision-making problem to be taken into account. In the aggregation process, the weights of the decision makers play an important role. In this paper we have focused on the group analytic hierarchy process (AHP). We emphasized the homogeneity of the opinions of the decision makers as the basis for determining the importance weights of the decision makers. We reviewed the projection method and its upgrades for determining decision makers weights and demonstrated with examples that they are not suitable for application in AHP. We proposed a new symmetric projection method that eliminates the imperfections of the previous projection methods. We proposed a Symmetric Projection Group Approach (SPGA) to derive group weights in AHP. To validate the SPGA, we selected four evaluation measures. The evaluation of the examples shows that the SPGA achieves good evaluation results compared to the other methods for deriving decision makers weights and is suitable for real-world applications.

Keywords

sistemi za podporo odločanju;skupinsko odločanje;projekcijska metoda;uteži pomembnosti odločevalcev;operacijska raziskovanja;analitični hierarhični proces;decision support systems;analytic hierarchy process;group decision making;importance weights of decision makers;projection method;

Data

Language:	English
Year of publishing:	2021
Typology:	1.01 - Original Scientific Article
Organization:	UL BF - Biotechnical Faculty
UDC:	519.8
COBISS:	62565379
ISSN:	0305-0548
Views:	271
Downloads:	17
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	sistemi za podporo odločanju;skupinsko odločanje;projekcijska metoda;uteži pomembnosti odločevalcev;operacijska raziskovanja;analitični hierarhični proces;
Embargo end date (OpenAIRE):	2024-05-02
Pages:	9 str.
Volume:	ǂVol. ǂ133
Issue:	ǂarticle ǂ105343
DOI:	10.1016/j.cor.2021.105343
ID:	12915388