{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T11:13:04Z","timestamp":1771067584626,"version":"3.50.1"},"reference-count":59,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T00:00:00Z","timestamp":1750896000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Gansu Provincial Young Talent Program (Individual Project)","award":["2025QNGR16"],"award-info":[{"award-number":["2025QNGR16"]}]},{"name":"Gansu Provincial Young Talent Program (Individual Project)","award":["ZR2021QG002"],"award-info":[{"award-number":["ZR2021QG002"]}]},{"name":"Project of Shandong Provincial Natural Science Foundation","award":["2025QNGR16"],"award-info":[{"award-number":["2025QNGR16"]}]},{"name":"Project of Shandong Provincial Natural Science Foundation","award":["ZR2021QG002"],"award-info":[{"award-number":["ZR2021QG002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In multi-criteria group decision making, decision makers are commonly regarded as independent. However, in practice, heterogeneous backgrounds and complex cognitive processes lead to mutual interference among their judgments. To address this gap, a novel multi-criteria quantum group decision-making model is proposed that explicitly incorporates opinion interference effects. First, type-2 fuzzy numbers are employed to represent evaluation information, and a specialized Euclidean distance measure for them is introduced. Second, an extended distance-based criteria importance through an inter-criteria correlation method incorporating Deng entropy is developed to derive robust criteria weights under uncertainty. Third, the TODIM method integrates cumulative prospect theory to capture decision makers\u2019 risk perceptions and computes prospect-based dominance degrees. Fourth, a quantum-inspired aggregation mechanism models the mutual interference in group opinions. Finally, a case study on FinTech startup investment demonstrates the model\u2019s practical applicability, while sensitivity analysis and comparisons to established methods confirm its robustness and effectiveness.<\/jats:p>","DOI":"10.3390\/sym17071006","type":"journal-article","created":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T11:15:23Z","timestamp":1750936523000},"page":"1006","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Novel Multi-Criteria Quantum Group Decision-Making Model Considering Decision Makers\u2019 Risk Perception Based on Type-2 Fuzzy Numbers"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6511-0196","authenticated-orcid":false,"given":"Wen","family":"Li","sequence":"first","affiliation":[{"name":"Economic Research Institute of the Belt and Road Initiative, Lanzhou University of Finance and Economics, Lanzhou 730020, China"},{"name":"School of Finance, Lanzhou University of Finance and Economics, Lanzhou 730020, China"}]},{"given":"Shuaicheng","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Finance, Lanzhou University of Finance and Economics, Lanzhou 730020, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7413-973X","authenticated-orcid":false,"given":"Zhiliang","family":"Ren","sequence":"additional","affiliation":[{"name":"School of Management Science and Engineering, Shandong Technology and Business University, Yantai 264005, China"}]},{"given":"Obaid Ur","family":"Rehman","sequence":"additional","affiliation":[{"name":"School of Finance, Lanzhou University of Finance and Economics, Lanzhou 730020, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,6,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.ins.2018.11.022","article-title":"Hesitant fuzzy linguistic prioritized superiority and inferiority ranking method and its application in sustainable energy technology evaluation","volume":"478","author":"Zhao","year":"2019","journal-title":"Inf. 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