0557718 20230323164551.820220530235959.9 85126665738 000805828400016 10.1016/j.cie.2022.108089 11 s. P cav_un_epca*02525540360-8352168Elsevier Decision-Making Theory Decision Support Systems Analytic Hierarchy Process Intransitive Preferences Skew-symmetric Bi-linear Representation cav_un_auth*0398866 Carpitella Silvia UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR IT Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0382032 Inuiguchi M. JP cav_un_auth*0216188 Kratochvíl Václav UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0234872 Pištěk Miroslav UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2022/MTR/pistek-0557718.pdf https://www.sciencedirect.com/science/article/pii/S0360835222001590?via%3Dihub GA19-06569S GA ČR CZ cav_un_auth*0380559 Life itself is colorful and brings situations where making the right decision is a matter of compromise given the various criteria, often conflicting with each other. To handle such situations, a plethora of mathematical methods supporting decision-making has been developed. A little attention has been paid to cases where either criteria or expert preferences are not transitive by nature. Usually, standard decision-making methods handle such a case as an input error (input inconsistency). Being designed for consistent cases, standard methods may conclude in wrong results. We present a novel framework aimed at dealing with inconsistent preferences, without forcing experts to reconsider their initial judgments thus distorting their spontaneous assessments. A simulation analysis has been led to check the methodological validity of our proposal. Specifically, by setting different consistency ranges, thousands of experiments on simulated matrices confirm that our framework represents a valid alternative to the traditional practice. The applicability of the proposed approach has been eventually demonstrated through a real-world case study focused on supply chain management of a relevant industrial problem. WOS AH 50000 50200 50204 2023 RVO:67985556 http://hdl.handle.net/11104/0331639 S 108089 3+4 Article Computer Science Interdisciplinary Applications|Engineering Industrial C COMPUTERSCIENCE.INTERDISCIPLINARYAPPLICATIONS|ENGINEERING.INDUSTRIAL 7.3 1.6 3.7 0.02971 1.139 32278 1.76 6.900 863 Q1 83 Q2 Q1* 1.31 Q1 85 2022 85126665738 SCOPUS PUBMED 000805828400016 WOS cav_un_epca*0252554 Computers & Industrial Engineering 0360-8352 1879-0550 Roč. 168 č. 1 2022 Elsevier