{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,12]],"date-time":"2024-09-12T01:59:31Z","timestamp":1726106371738},"reference-count":46,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2019,2,18]],"date-time":"2019-02-18T00:00:00Z","timestamp":1550448000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003549","name":"OTKA","doi-asserted-by":"publisher","award":["111797"],"id":[{"id":"10.13039\/501100003549","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["European Journal of Operational Research"],"published-print":{"date-parts":[[2019,7]]},"DOI":"10.1016\/j.ejor.2018.12.046","type":"journal-article","created":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T14:01:25Z","timestamp":1546351285000},"page":"212-216","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":40,"title":["A characterization of the Logarithmic Least Squares Method"],"prefix":"10.1016","volume":"276","author":[{"ORCID":"http:\/\/orcid.org\/0000-0001-8705-5036","authenticated-orcid":false,"given":"L\u00e1szl\u00f3","family":"Csat\u00f3","sequence":"first","affiliation":[]}],"member":"78","reference":[{"issue":"4","key":"10.1016\/j.ejor.2018.12.046_bib0001","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1086\/256963","article-title":"A difficulty in the concept of social welfare","volume":"58","author":"Arrow","year":"1950","journal-title":"Journal of Political Economy"},{"issue":"12","key":"10.1016\/j.ejor.2018.12.046_bib0002","doi-asserted-by":"crossref","first-page":"1226","DOI":"10.1057\/palgrave.jors.2600474","article-title":"Deriving weights from pairwise comparison matrices","volume":"48","author":"Barzilai","year":"1997","journal-title":"Journal of the Operational Research Society"},{"issue":"3","key":"10.1016\/j.ejor.2018.12.046_bib0003","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0167-6377(87)90026-5","article-title":"Consistent weights for judgements matrices of the relative importance of alternatives","volume":"6","author":"Barzilai","year":"1987","journal-title":"Operations Research Letters"},{"issue":"2","key":"10.1016\/j.ejor.2018.12.046_bib0004","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/s00186-006-0077-1","article-title":"Inferring efficient weights from pairwise comparison matrices","volume":"64","author":"Blanquero","year":"2006","journal-title":"Mathematical Methods of Operations Research"},{"issue":"1","key":"10.1016\/j.ejor.2018.12.046_bib0005","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/0377-2217(92)90333-5","article-title":"Ranking methods based on valued preference relations: A characterization of the net flow method","volume":"60","author":"Bouyssou","year":"1992","journal-title":"European Journal of Operational Research"},{"issue":"3","key":"10.1016\/j.ejor.2018.12.046_bib0006","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/j.joi.2014.03.001","article-title":"An axiomatic approach to bibliometric rankings and indices","volume":"8","author":"Bouyssou","year":"2014","journal-title":"Journal of Informetrics"},{"issue":"12","key":"10.1016\/j.ejor.2018.12.046_bib0007","doi-asserted-by":"crossref","first-page":"1893","DOI":"10.1080\/02331934.2014.903399","article-title":"Inefficient weights from pairwise comparison matrices with arbitrarily small inconsistency","volume":"63","author":"Boz\u00f3ki","year":"2014","journal-title":"Optimization"},{"issue":"1","key":"10.1016\/j.ejor.2018.12.046_bib0008","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/j.ejor.2015.06.069","article-title":"An application of incomplete pairwise comparison matrices for ranking top tennis players","volume":"248","author":"Boz\u00f3ki","year":"2016","journal-title":"European Journal of Operational Research"},{"issue":"2","key":"10.1016\/j.ejor.2018.12.046_bib0009","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1016\/j.ejor.2017.06.033","article-title":"Efficient weight vectors from pairwise comparison matrices","volume":"264","author":"Boz\u00f3ki","year":"2018","journal-title":"European Journal of Operational Research"},{"issue":"1\u20132","key":"10.1016\/j.ejor.2018.12.046_bib0010","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1016\/j.mcm.2010.02.047","article-title":"On optimal completion of incomplete pairwise comparison matrices","volume":"52","author":"Boz\u00f3ki","year":"2010","journal-title":"Mathematical and Computer Modelling"},{"key":"10.1016\/j.ejor.2018.12.046_bib0011","unstructured":"Boz\u00f3ki, S., & Tsyganok, V. (2017). The logarithmic least squares optimality of the geometric mean of weight vectors calculated from all spanning trees for (in)complete pairwise comparison matrices. Manuscript. arXiv:1701.04265."},{"key":"10.1016\/j.ejor.2018.12.046_bib0012","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.jmateco.2015.06.016","article-title":"On axiomatizations of the Shapley value for assignment games","volume":"60","author":"van den Brink","year":"2015","journal-title":"Journal of Mathematical Economics"},{"issue":"3\u20134","key":"10.1016\/j.ejor.2018.12.046_bib0013","doi-asserted-by":"crossref","first-page":"321","DOI":"10.3233\/FI-2016-1338","article-title":"Recent advances on inconsistency indices for pairwise comparisons \u2013 a commentary","volume":"144","author":"Brunelli","year":"2016","journal-title":"Fundamenta Informaticae"},{"issue":"1","key":"10.1016\/j.ejor.2018.12.046_bib0014","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s10479-016-2166-8","article-title":"Studying a set of properties of inconsistency indices for pairwise comparisons","volume":"248","author":"Brunelli","year":"2017","journal-title":"Annals of Operations Research"},{"key":"10.1016\/j.ejor.2018.12.046_bib0015","series-title":"Proceedings of the international symposium on the analytic hierarchy process (ISAHP)","first-page":"15","article-title":"Characterizing properties for inconsistency indices in the AHP","author":"Brunelli","year":"2011"},{"issue":"1","key":"10.1016\/j.ejor.2018.12.046_bib0016","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1057\/jors.2013.135","article-title":"Axiomatic properties of inconsistency indices for pairwise comparisons","volume":"66","author":"Brunelli","year":"2015","journal-title":"Journal of the Operational Research Society"},{"key":"10.1016\/j.ejor.2018.12.046_sbref0016","article-title":"A general formulation for some inconsistency indices of pairwise comparisons","author":"Brunelli","year":"2018","journal-title":"Annals of Operations Research"},{"issue":"5","key":"10.1016\/j.ejor.2018.12.046_bib0018","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1057\/jors.1995.88","article-title":"A goal programming method for generating priority vectors","volume":"46","author":"Bryson","year":"1995","journal-title":"Journal of the Operational Research Society"},{"issue":"2","key":"10.1016\/j.ejor.2018.12.046_bib0019","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1016\/j.ejor.2016.10.032","article-title":"A universal voting system based on the potential method","volume":"259","author":"\u010caklovi\u0107","year":"2017","journal-title":"European Journal of Operational Research"},{"key":"10.1016\/j.ejor.2018.12.046_bib0020","series-title":"Advances in computational intelligence: 14th international conference on information processing and management of uncertainty in knowledge-based systems, IPMU 2012, Catania, Italy, july 9\u201313, 2012, proceedings, part iv","first-page":"315","article-title":"Investigating properties of the \u2299-consistency index","volume":"300","author":"Cavallo","year":"2012"},{"issue":"1","key":"10.1016\/j.ejor.2018.12.046_bib0021","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.ejor.2017.07.030","article-title":"Jie Ke versus AlphaGo: A ranking approach using decision making method for large-scale data with incomplete information","volume":"265","author":"Chao","year":"2018","journal-title":"European Journal of Operational Research"},{"issue":"6","key":"10.1016\/j.ejor.2018.12.046_bib0022","doi-asserted-by":"crossref","first-page":"893","DOI":"10.1016\/S0305-0548(03)00042-X","article-title":"A common framework for deriving preference values from pairwise comparison matrices","volume":"31","author":"Choo","year":"2004","journal-title":"Computers & Operations Research"},{"issue":"3","key":"10.1016\/j.ejor.2018.12.046_bib0023","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/0377-2217(88)90198-1","article-title":"Deriving weights from pairwise comparison ratio matrices: An axiomatic approach","volume":"37","author":"Cook","year":"1988","journal-title":"European Journal of Operational Research"},{"key":"10.1016\/j.ejor.2018.12.046_bib0024","series-title":"Interim report","article-title":"Analysis of subjective judgment matrices","author":"Crawford","year":"1980"},{"issue":"4","key":"10.1016\/j.ejor.2018.12.046_bib0025","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1016\/0022-2496(85)90002-1","article-title":"A note on the analysis of subjective judgment matrices","volume":"29","author":"Crawford","year":"1985","journal-title":"Journal of Mathematical Psychology"},{"issue":"4","key":"10.1016\/j.ejor.2018.12.046_bib0026","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1007\/s10100-012-0261-8","article-title":"Ranking by pairwise comparisons for Swiss-system tournaments","volume":"21","author":"Csat\u00f3","year":"2013","journal-title":"Central European Journal of Operations Research"},{"issue":"2","key":"10.1016\/j.ejor.2018.12.046_bib0027","doi-asserted-by":"crossref","first-page":"169","DOI":"10.3233\/FI-2017-1602","article-title":"Eigenvector Method and rank reversal in group decision making revisited","volume":"156","author":"Csat\u00f3","year":"2017","journal-title":"Fundamenta Informaticae"},{"key":"10.1016\/j.ejor.2018.12.046_bib0028","unstructured":"Csat\u00f3, L. (2018a). Axiomatizations of inconsistency indices for triads. Manuscript. arXiv:1801.03355."},{"issue":"1\u20132","key":"10.1016\/j.ejor.2018.12.046_bib0029","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/s10479-017-2627-8","article-title":"Characterization of an inconsistency ranking for pairwise comparison matrices","volume":"261","author":"Csat\u00f3","year":"2018","journal-title":"Annals of Operations Research"},{"issue":"6","key":"10.1016\/j.ejor.2018.12.046_bib0030","doi-asserted-by":"crossref","first-page":"1011","DOI":"10.1007\/s10726-018-9589-3","article-title":"Characterization of the row geometric mean ranking with a group consensus axiom","volume":"27","author":"Csat\u00f3","year":"2018","journal-title":"Group Decision and Negotiation"},{"issue":"3\u20134","key":"10.1016\/j.ejor.2018.12.046_bib0031","doi-asserted-by":"crossref","first-page":"309","DOI":"10.3233\/FI-2016-1337","article-title":"Incomplete pairwise comparison matrices and weighting methods","volume":"144","author":"Csat\u00f3","year":"2016","journal-title":"Fundamenta Informaticae"},{"key":"10.1016\/j.ejor.2018.12.046_bib0032","series-title":"Report","article-title":"Extensions of the multiple criteria analysis method of T. L. Saaty","author":"De Graan","year":"1980"},{"issue":"1","key":"10.1016\/j.ejor.2018.12.046_bib0033","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s10100-011-0212-9","article-title":"On the extraction of weights from pairwise comparison matrices","volume":"21","author":"Dijkstra","year":"2013","journal-title":"Central European Journal of Operations Research"},{"key":"10.1016\/j.ejor.2018.12.046_bib0034","series-title":"Technical Report","article-title":"Some thoughts about the mathematics of the Analytic Hierarchy Process","author":"Fichtner","year":"1984"},{"issue":"6","key":"10.1016\/j.ejor.2018.12.046_bib0035","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/0038-0121(86)90045-5","article-title":"On deriving priority vectors from matrices of pairwise comparisons","volume":"20","author":"Fichtner","year":"1986","journal-title":"Socio-Economic Planning Sciences"},{"issue":"4","key":"10.1016\/j.ejor.2018.12.046_bib0036","doi-asserted-by":"crossref","first-page":"485","DOI":"10.3233\/FI-2014-1055","article-title":"On axiomatization of inconsistency indicators for pairwise comparisons","volume":"132","author":"Koczkodaj","year":"2014","journal-title":"Fundamenta Informaticae"},{"key":"10.1016\/j.ejor.2018.12.046_bib0037","unstructured":"Koczkodaj, W. W., & Szybowski, J. (2015). Axiomatization of inconsistency indicators for pairwise comparisons matrices revisited. Manuscript. arXiv:1509.03781v1."},{"issue":"3","key":"10.1016\/j.ejor.2018.12.046_bib0038","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1515\/amcs-2016-0050","article-title":"The limit of inconsistency reduction in pairwise comparisons","volume":"26","author":"Koczkodaj","year":"2016","journal-title":"International Journal of Applied Mathematics and Computer Science"},{"key":"10.1016\/j.ejor.2018.12.046_bib0039","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/j.ijar.2017.12.001","article-title":"Axiomatization of inconsistency indicators for pairwise comparisons","volume":"94","author":"Koczkodaj","year":"2018","journal-title":"International Journal of Approximate Reasoning"},{"issue":"1","key":"10.1016\/j.ejor.2018.12.046_bib0040","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/j.ejor.2016.07.042","article-title":"The mathematical equivalence of the \u201cspanning tree\u201d and row geometric mean preference vectors and its implications for preference analysis","volume":"257","author":"Lundy","year":"2017","journal-title":"European Journal of Operational Research"},{"issue":"3\u20134","key":"10.1016\/j.ejor.2018.12.046_bib0041","doi-asserted-by":"crossref","first-page":"255","DOI":"10.3233\/FI-2016-1333","article-title":"Eigenvector priority function causes strong rank reversal in group decision making","volume":"144","author":"P\u00e9rez","year":"2016","journal-title":"Fundamenta Informaticae"},{"issue":"1","key":"10.1016\/j.ejor.2018.12.046_bib0042","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1177\/073889427600200104","article-title":"Some comments on measuring world influence","volume":"2","author":"Rabinowitz","year":"1976","journal-title":"Conflict Management and Peace Science"},{"key":"10.1016\/j.ejor.2018.12.046_bib0043","series-title":"The analytic hierarchy process: Planning, priority setting, resource allocation","author":"Saaty","year":"1980"},{"key":"10.1016\/j.ejor.2018.12.046_bib0044","series-title":"Contributions to the theory of games volume ii","first-page":"307","article-title":"A value for n-person games","volume":"28","author":"Shapley","year":"1953"},{"key":"10.1016\/j.ejor.2018.12.046_bib0045","doi-asserted-by":"crossref","first-page":"1006","DOI":"10.1016\/j.procs.2018.08.036","article-title":"The improvement of data in pairwise comparison matrices","volume":"126","author":"Szybowski","year":"2018","journal-title":"Procedia Computer Science"},{"issue":"2","key":"10.1016\/j.ejor.2018.12.046_bib0046","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1016\/j.mathsocsci.2008.03.001","article-title":"An axiomatic characterization of the Hirsch-index","volume":"56","author":"Woeginger","year":"2008","journal-title":"Mathematical Social Sciences"}],"container-title":["European Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377221718311202?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377221718311202?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,7,13]],"date-time":"2024-07-13T19:04:34Z","timestamp":1720897474000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377221718311202"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7]]},"references-count":46,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,7]]}},"alternative-id":["S0377221718311202"],"URL":"https:\/\/doi.org\/10.1016\/j.ejor.2018.12.046","relation":{},"ISSN":["0377-2217"],"issn-type":[{"value":"0377-2217","type":"print"}],"subject":[],"published":{"date-parts":[[2019,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A characterization of the Logarithmic Least Squares Method","name":"articletitle","label":"Article Title"},{"value":"European Journal of Operational Research","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ejor.2018.12.046","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2019 The Author. Published by Elsevier B.V.","name":"copyright","label":"Copyright"}]}}