S. Kadenko, V. Tsyganok, Zsombor Szádoczki, S. Bozóki
{"title":"AN UPDATE ON COMBINATORIAL METHOD FOR AGGREGATION OF EXPERT JUDGMENTS IN AHP","authors":"S. Kadenko, V. Tsyganok, Zsombor Szádoczki, S. Bozóki","doi":"10.13033/isahp.y2020.012","DOIUrl":null,"url":null,"abstract":"Paper aims: the paper aims to demonstrate the advantages of several modifications of combinatorial method of expert judgment aggregation in AHP. Modifications are based on 1) weighting of spanning trees; 2) sorting of spanning trees by graph diameter during aggregation. Originality: Both the method and its modifications are developed and improved by the authors. We propose to 1) weight spanning trees, based on quality of respective expert estimates, and 2) sort them by diameter in order to reduce the impact of expert errors and the method’s computational complexity. Research method: we focus on theoretical and empirical studies of several modifications of combinatorial method of aggregation of expert judgments within AHP. Main findings: modified combinatorial method has several conceptual advantages over ordinary method. It is also less sensitive to perturbations of initial data. Additionally, selection of spanning trees with smaller diameters allows us to reduce computational complexity of the method and minimize the impact of expert errors. Implications for theory and practice: Combinatorial method is a universal instrument of expert judgment aggregation, applicable to additive/multiplicative, complete/incomplete, individual/group pair-wise comparisons, provided in different scales. It is used in the original strategic planning technology, which has recently found several important applications.","PeriodicalId":34960,"journal":{"name":"Production","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Production","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13033/isahp.y2020.012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 3
Abstract
Paper aims: the paper aims to demonstrate the advantages of several modifications of combinatorial method of expert judgment aggregation in AHP. Modifications are based on 1) weighting of spanning trees; 2) sorting of spanning trees by graph diameter during aggregation. Originality: Both the method and its modifications are developed and improved by the authors. We propose to 1) weight spanning trees, based on quality of respective expert estimates, and 2) sort them by diameter in order to reduce the impact of expert errors and the method’s computational complexity. Research method: we focus on theoretical and empirical studies of several modifications of combinatorial method of aggregation of expert judgments within AHP. Main findings: modified combinatorial method has several conceptual advantages over ordinary method. It is also less sensitive to perturbations of initial data. Additionally, selection of spanning trees with smaller diameters allows us to reduce computational complexity of the method and minimize the impact of expert errors. Implications for theory and practice: Combinatorial method is a universal instrument of expert judgment aggregation, applicable to additive/multiplicative, complete/incomplete, individual/group pair-wise comparisons, provided in different scales. It is used in the original strategic planning technology, which has recently found several important applications.
ProductionEngineering-Industrial and Manufacturing Engineering
CiteScore
3.00
自引率
0.00%
发文量
26
审稿时长
40 weeks
期刊介绍:
The Produção Journal (Production Journal), ISSN 0103-6513, is a Brazilian Association of Production Engineering (ABEPRO) publication. It was created in 1990 in order to provide a communication medium for academic articles in the Production Engineering field. Since 2002, the Production Engineering Department of Polytechnic School of the University of São Paulo (PRO/EPUSP) is responsible for the editorial process of Produção Journal, sponsored by Carlos Alberto Vanzolini Foundation (FCAV). Revista Produção has the tradition of eighteen published volumes and Qualis "B2" evaluation by CAPES in the Engineering III area. For Brazilian academic community it is a top journal in Production Engineering field.