An update on combinatorial method for aggregation of expert judgments in AHP
Fuente:
Redalyc
Saved in:
| Main Author: | |
|---|---|
| Format: | Artículo científico |
| Language: | en |
| Published: |
Associação Brasileira de Engenharia de Produção
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1876464655011938304 |
|---|---|
| author | Sergii Kadenko |
| author_facet | Sergii Kadenko |
| contents | An update on combinatorial method for aggregation of expert judgments in AHP Sergii Kadenko Vitaliy Tsyganok Zsombor Szádoczki Sándor Bozóki Ingeniería Pair Consistency Compatibility wise comparison Prüfer sequence 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. 2021 artículo científico 0103-6513 https://www.redalyc.org/articulo.oa?id=396766539021 https://www.redalyc.org/journal/3967/396766539021/ https://www.redalyc.org/journal/3967/396766539021/html/ https://www.redalyc.org/journal/3967/396766539021/396766539021.epub https://www.redalyc.org/journal/3967/396766539021/movil 10.1590/0103-6513.20210045 en http://www.redalyc.org/revista.oa?id=3967 Production application/pdf Associação Brasileira de Engenharia de Produção Production (Brasil) Vol.31 |
| format | Artículo científico |
| id | redalyc_396766539021 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Associação Brasileira de Engenharia de Produção |
| spellingShingle | An update on combinatorial method for aggregation of expert judgments in AHP Sergii Kadenko Ingeniería Pair Consistency Compatibility wise comparison Prüfer sequence An update on combinatorial method for aggregation of expert judgments in AHP Sergii Kadenko Vitaliy Tsyganok Zsombor Szádoczki Sándor Bozóki Ingeniería Pair Consistency Compatibility wise comparison Prüfer sequence 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. 2021 artículo científico 0103-6513 https://www.redalyc.org/articulo.oa?id=396766539021 https://www.redalyc.org/journal/3967/396766539021/ https://www.redalyc.org/journal/3967/396766539021/html/ https://www.redalyc.org/journal/3967/396766539021/396766539021.epub https://www.redalyc.org/journal/3967/396766539021/movil 10.1590/0103-6513.20210045 en http://www.redalyc.org/revista.oa?id=3967 Production application/pdf Associação Brasileira de Engenharia de Produção Production (Brasil) Vol.31 |
| title | An update on combinatorial method for aggregation of expert judgments in AHP |
| topic | Ingeniería Pair Consistency Compatibility wise comparison Prüfer sequence |
| url | https://www.redalyc.org/articulo.oa?id=396766539021 https://www.redalyc.org/journal/3967/396766539021/ https://www.redalyc.org/journal/3967/396766539021/html/ https://www.redalyc.org/journal/3967/396766539021/396766539021.epub https://www.redalyc.org/journal/3967/396766539021/movil |