{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:33:52Z","timestamp":1740123232979,"version":"3.37.3"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2023,9,15]],"date-time":"2023-09-15T00:00:00Z","timestamp":1694736000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2023,9,15]],"date-time":"2023-09-15T00:00:00Z","timestamp":1694736000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100003549","name":"Hungarian Scientific Research Fund","doi-asserted-by":"publisher","award":["K-134191"],"award-info":[{"award-number":["K-134191"]}],"id":[{"id":"10.13039\/501100003549","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2024,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We define decision-making functions which arise from studying the multidimensional generalization of the weighted Bajraktarevi\u0107 means. It allows a nonlinear approach to optimization problems. These functions admit several interesting (from the point of view of decision-making) properties, for example, delegativity (which states that each subgroup of decision-makers can aggregate their decisions and efforts), casuativity (each decision affects the final outcome except two trivial cases) and convexity-type properties. Beyond establishing the most important properties of such means, we solve their equality problem, we introduce a notion of synergy and characterize the null-synergy decision-making functions of this type.<\/jats:p>","DOI":"10.1007\/s10479-023-05582-1","type":"journal-article","created":{"date-parts":[[2023,9,15]],"date-time":"2023-09-15T16:01:57Z","timestamp":1694793717000},"page":"461-480","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Decision making via generalized Bajraktarevi\u0107 means"],"prefix":"10.1007","volume":"332","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2382-6035","authenticated-orcid":false,"given":"Zsolt","family":"P\u00e1les","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8593-0025","authenticated-orcid":false,"given":"Pawe\u0142","family":"Pasteczka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,9,15]]},"reference":[{"issue":"1","key":"5582_CR1","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/S0165-0114(99)00050-0","volume":"119","author":"WF Abd El-Wahed","year":"2001","unstructured":"Abd El-Wahed, W. F., & Abo-Sinna, M. A. (2001). A hybrid fuzzy-goal programming approach to multiple objective decision making problems. Fuzzy Sets and Systems, 119(1), 71\u201385.","journal-title":"Fuzzy Sets and Systems"},{"key":"5582_CR2","doi-asserted-by":"publisher","first-page":"171","DOI":"10.5486\/PMD.1963.10.1-4.24","volume":"10","author":"J Acz\u00e9l","year":"1963","unstructured":"Acz\u00e9l, J., & Dar\u00f3czy, Z. (1963). \u00dcber verallgemeinerte quasilineare Mittelwerte, die mit Gewichtsfunktionen gebildet sind. Publicationes Mathematicae Debrecen, 10, 171\u2013190.","journal-title":"Publicationes Mathematicae Debrecen"},{"key":"5582_CR3","unstructured":"Bajraktarevi\u0107, M. (1958). Sur une \u00e9quation fonctionnelle aux valeurs moyennes. Glasnik Mat.-Fiz. Astronom. Dru\u0161tvo Mat. Fiz. Hrvatske Ser. II, 13:243-248."},{"key":"5582_CR4","unstructured":"Bajraktarevi\u0107, M. (1963). Sur une g\u00e9n\u00e9ralisation des moyennes quasilin\u00e9aires. Publications de l\u2019Institut Math\u00e9matique(Beograd) (N.S.), 3 (17):69-76."},{"key":"5582_CR5","doi-asserted-by":"crossref","unstructured":"Beliakov, G., Bustince\u00a0Sola, H., & Calvo\u00a0S\u00e1nchez, T. (2016). A practical guide to averaging functions, Vol. 329 of Studies in Fuzziness and Soft Computing. Springer, Cham.","DOI":"10.1007\/978-3-319-24753-3"},{"key":"5582_CR6","volume-title":"Aggregation functions: A guide for practitioners","author":"G Beliakov","year":"2007","unstructured":"Beliakov, G., Pradera, A., & Calvo, T. (2007). Aggregation functions: A guide for practitioners. Cham: Springer."},{"issue":"3","key":"5582_CR7","doi-asserted-by":"publisher","first-page":"379","DOI":"10.7153\/mia-06-35","volume":"6","author":"M Bessenyei","year":"2003","unstructured":"Bessenyei, M., & P\u00e1les, Zs. (2003). Hadamard-type inequalities for generalized convex functions. Mathematical Inequalities and Applications, 6(3), 379\u2013392.","journal-title":"Mathematical Inequalities and Applications"},{"key":"5582_CR8","doi-asserted-by":"crossref","unstructured":"Bullen, P. S. (2003). Handbook of means and their inequalities Mathematics and its applications (Vol. 560). Dordrecht: Kluwer Academic Publishers Group.","DOI":"10.1007\/978-94-017-0399-4"},{"key":"5582_CR9","doi-asserted-by":"crossref","unstructured":"Bullen, P.S., Mitrinovi\u0107, D.S., & Vasi\u0107, P.M. (1988). Means and Their Inequalities, Vol.\u00a031 of Mathematics and its Applications (East European Series). D. Reidel Publishing Co., Dordrecht. Translated and revised from the Serbo-Croatian.","DOI":"10.1007\/978-94-017-2226-1"},{"key":"5582_CR10","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1016\/j.fss.2017.06.013","volume":"334","author":"M Couceiro","year":"2018","unstructured":"Couceiro, M., Devillet, J., & Marichal, J.-L. (2018). Characterizations of idempotent discrete uninorms. Fuzzy Sets and Systems, 334, 60\u201372.","journal-title":"Fuzzy Sets and Systems"},{"key":"5582_CR11","doi-asserted-by":"crossref","unstructured":"Czy\u017cak, P. (1990). Application of the \u201cFLIP\u201d method to farm structure optimization under uncertainty. In Stochastic versus fuzzy approaches to multiobjective mathematical programming under uncertainty, Vol.\u00a06 of Theory Decis. Lib. Ser. D System Theory Knowledge Engrg. Probl. Solving, pp 263\u2013278. Kluwer Acad. Publ., Dordrecht.","DOI":"10.1007\/978-94-009-2111-5_13"},{"issue":"289\u2013297","key":"5582_CR12","first-page":"1970","volume":"17","author":"Z Dar\u00f3czy","year":"1971","unstructured":"Dar\u00f3czy, Z., & Losonczi, L. (1971). \u00dcber den Vergleich von Mittelwerten. Publicationes Mathematicae Debrecen, 17(289\u2013297), 1970.","journal-title":"Publicationes Mathematicae Debrecen"},{"issue":"1\u20132","key":"5582_CR13","first-page":"107","volume":"29","author":"Z Dar\u00f3czy","year":"1982","unstructured":"Dar\u00f3czy, Z., & P\u00e1les, Zs. (1982). On comparison of mean values. Publicationes Mathematicae Debrecen, 29(1\u20132), 107\u2013115.","journal-title":"Publicationes Mathematicae Debrecen"},{"issue":"3","key":"5582_CR14","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1007\/s00010-019-00644-x","volume":"93","author":"J Devillet","year":"2019","unstructured":"Devillet, J. (2019). Bisymmetric and quasitrivial operations: Characterizations and enumerations. Aequationes Mathematicae, 93(3), 501\u2013526.","journal-title":"Aequationes Mathematicae"},{"issue":"1","key":"5582_CR15","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1007\/s00233-018-9980-z","volume":"98","author":"J Devillet","year":"2019","unstructured":"Devillet, J., Kiss, G., & Marichal, J.-L. (2019). Characterizations of quasitrivial symmetric nondecreasing associative operations. Semigroup Forum, 98(1), 154\u2013171.","journal-title":"Semigroup Forum"},{"key":"5582_CR16","first-page":"3","volume":"13","author":"C Gini","year":"1938","unstructured":"Gini, C. (1938). Di una formula compressiva delle medie. Metron, 13, 3\u201322.","journal-title":"Metron"},{"key":"5582_CR17","volume-title":"Le medie","author":"C Gini","year":"1958","unstructured":"Gini, C. (1958). Le medie. Milano: Unione Tipografico-Editrice Torinese."},{"key":"5582_CR18","doi-asserted-by":"crossref","unstructured":"Grabisch, M., Marichal, J.-L., Mesiar, R., & Pap, E. (2009). Aggregation functions Encyclopedia of mathematics and its applications (Vol. 127). Cambridge: Cambridge University Press.","DOI":"10.1017\/CBO9781139644150"},{"issue":"2","key":"5582_CR19","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1006\/cogp.1998.0685","volume":"36","author":"RNA Henson","year":"1998","unstructured":"Henson, R. N. A. (1998). Short-term memory for serial order: The start-end model. Cognitive Psychology, 36(2), 73\u2013137.","journal-title":"Cognitive Psychology"},{"issue":"1","key":"5582_CR20","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1086\/208899","volume":"9","author":"J Huber","year":"1982","unstructured":"Huber, J., Payne, J. W., & Puto, C. (1982). Adding asymmetrically dominated alternatives: Violations of regularity and the similarity hypothesis. Journal of Consumer Research, 9(1), 90\u201398.","journal-title":"Journal of Consumer Research"},{"key":"5582_CR21","unstructured":"Jiuping, Xu., & Zhou, Xiaoyang. (2011). Fuzzy-like multiple objective decision making Studies in Fuzziness and Soft Computing (Vol. 263). Berlin: Springer-Verlag."},{"key":"5582_CR22","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1007\/BF01222558","volume":"22","author":"L Losonczi","year":"1971","unstructured":"Losonczi, L. (1971). Subadditive Mittelwerte. Archiv der Mathematik (Basel), 22, 168\u2013174.","journal-title":"Archiv der Mathematik (Basel)"},{"key":"5582_CR23","first-page":"71","volume":"32","author":"L Losonczi","year":"1971","unstructured":"Losonczi, L. (1971). \u00dcber eine neue Klasse von Mittelwerten. Acta Scientiarum Mathematicarum (Szeged), 32, 71\u201381.","journal-title":"Acta Scientiarum Mathematicarum (Szeged)"},{"issue":"2\u20133","key":"5582_CR24","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1007\/BF02311307","volume":"32","author":"Zs P\u00e1les","year":"1987","unstructured":"P\u00e1les, Zs. (1987). On the characterization of quasi-arithmetic means with weight function. Aequationes Mathematicae, 32(2\u20133), 171\u2013194.","journal-title":"Aequationes Mathematicae"},{"key":"5582_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s13660-018-1685-z","volume":"2018","author":"Zs P\u00e1les","year":"2018","unstructured":"P\u00e1les, Zs., & Pasteczka, P. (2018). On Kedlaya-type inequalities for weighted means. Journal of Inequalities and Applications, 2018, 1\u201322.","journal-title":"Journal of Inequalities and Applications"},{"issue":"3","key":"5582_CR26","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1007\/s00025-021-01452-z","volume":"76","author":"P Pasteczka","year":"2021","unstructured":"Pasteczka, P. (2021). Online premeans and their computation complexity. Results in Mathematics, 76(3), 141.","journal-title":"Results in Mathematics"},{"issue":"1","key":"5582_CR27","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1080\/10463283.2012.744440","volume":"23","author":"S Schulz-Hardt","year":"2012","unstructured":"Schulz-Hardt, S., & Mojzisch, A. (2012). How to achieve synergy in group decision making: Lessons to be learned from the hidden profile paradigm. European Review of Social Psychology, 23(1), 305\u2013343.","journal-title":"European Review of Social Psychology"},{"key":"5582_CR28","doi-asserted-by":"crossref","unstructured":"S\u0142owi\u0144ski, R., & Teghem, J., editors. (1990). Stochastic versus fuzzy approaches to multiobjective mathematical programming under uncertainty, Vol.\u00a06 of Theory and Decision Library. Series D: System Theory, Knowledge Engineering and Problem Solving. Kluwer Academic Publishers Group, Dordrecht.","DOI":"10.1007\/978-94-009-2111-5"},{"key":"5582_CR29","volume-title":"Fuzzy multiple objective decision making","author":"Gwo-Hshiung Tzeng","year":"2014","unstructured":"Tzeng, Gwo-Hshiung., & Huang, Jih-Jeng. (2014). Fuzzy multiple objective decision making. Boca Raton, FL: CRC Press."}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-023-05582-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-023-05582-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-023-05582-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,27]],"date-time":"2024-02-27T17:22:38Z","timestamp":1709054558000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-023-05582-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,15]]},"references-count":29,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2024,1]]}},"alternative-id":["5582"],"URL":"https:\/\/doi.org\/10.1007\/s10479-023-05582-1","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"type":"print","value":"0254-5330"},{"type":"electronic","value":"1572-9338"}],"subject":[],"published":{"date-parts":[[2023,9,15]]},"assertion":[{"value":"17 December 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 August 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 September 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declaration"}},{"value":"The authors declare that they have no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}