Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector
The decision making problem considered here is to rank n alternatives from the best to the worst, using information given by the decision maker(s) in the form of an n×n pairwise comparisons (PC) matrix. We investigate pairwise comparisons matrices with elements from a real interval which is a tradit...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Editura Universităţii „Alexandru Ioan Cuza” din Iaşi / Alexandru Ioan Cuza University of Iasi Publishing house
2017-12-01
|
| Series: | Scientific Annals of Economics and Business |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/saeb.2017.64.issue-s1/saeb-2017-0040/saeb-2017-0040.xml?format=INT |
| _version_ | 1818778495777505280 |
|---|---|
| author | Ramík Jaroslav |
| author_facet | Ramík Jaroslav |
| author_sort | Ramík Jaroslav |
| collection | DOAJ |
| description | The decision making problem considered here is to rank n alternatives from the best to the worst, using information given by the decision maker(s) in the form of an n×n pairwise comparisons (PC) matrix. We investigate pairwise comparisons matrices with elements from a real interval which is a traditional multiplicative approach used in Analytic hierarchy process (AHP). Here, we deal with two essential elements of AHP: measuring consistency of PC matrix and the method of eliciting the priority vector by which the final ranking of alternatives is derived. Classical approaches introduced by T. Saaty in AHP are compared with later approaches based on the AHP criticism published in the literature. Advantages and disadvantages of both approaches are highlighted and discussed. |
| first_indexed | 2024-12-18T11:45:38Z |
| format | Article |
| id | doaj.art-2ce7e95583f64a0bad1f89cbb02d7b7e |
| institution | Directory Open Access Journal |
| issn | 2501-3165 |
| language | English |
| last_indexed | 2024-12-18T11:45:38Z |
| publishDate | 2017-12-01 |
| publisher | Editura Universităţii „Alexandru Ioan Cuza” din Iaşi / Alexandru Ioan Cuza University of Iasi Publishing house |
| record_format | Article |
| series | Scientific Annals of Economics and Business |
| spelling | doaj.art-2ce7e95583f64a0bad1f89cbb02d7b7e2022-12-21T21:09:17ZengEditura Universităţii „Alexandru Ioan Cuza” din Iaşi / Alexandru Ioan Cuza University of Iasi Publishing houseScientific Annals of Economics and Business2501-31652017-12-0164s1859510.1515/saeb-2017-0040saeb-2017-0040Ranking Alternatives by Pairwise Comparisons Matrix and Priority VectorRamík Jaroslav0Department of Informatics and Mathematics, School of Business Administration in Karviná, Silesian University in Opava, Czech RepublicThe decision making problem considered here is to rank n alternatives from the best to the worst, using information given by the decision maker(s) in the form of an n×n pairwise comparisons (PC) matrix. We investigate pairwise comparisons matrices with elements from a real interval which is a traditional multiplicative approach used in Analytic hierarchy process (AHP). Here, we deal with two essential elements of AHP: measuring consistency of PC matrix and the method of eliciting the priority vector by which the final ranking of alternatives is derived. Classical approaches introduced by T. Saaty in AHP are compared with later approaches based on the AHP criticism published in the literature. Advantages and disadvantages of both approaches are highlighted and discussed.http://www.degruyter.com/view/j/saeb.2017.64.issue-s1/saeb-2017-0040/saeb-2017-0040.xml?format=INTpairwise comparisons matrixpriority vectorranking alternativesanalytic hierarchy processAHPC44 |
| spellingShingle | Ramík Jaroslav Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector Scientific Annals of Economics and Business pairwise comparisons matrix priority vector ranking alternatives analytic hierarchy process AHP C44 |
| title | Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector |
| title_full | Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector |
| title_fullStr | Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector |
| title_full_unstemmed | Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector |
| title_short | Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector |
| title_sort | ranking alternatives by pairwise comparisons matrix and priority vector |
| topic | pairwise comparisons matrix priority vector ranking alternatives analytic hierarchy process AHP C44 |
| url | http://www.degruyter.com/view/j/saeb.2017.64.issue-s1/saeb-2017-0040/saeb-2017-0040.xml?format=INT |
| work_keys_str_mv | AT ramikjaroslav rankingalternativesbypairwisecomparisonsmatrixandpriorityvector |