{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T03:30:56Z","timestamp":1779334256467,"version":"3.51.4"},"reference-count":60,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T00:00:00Z","timestamp":1725494400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71532003"],"award-info":[{"award-number":["71532003"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72072008"],"award-info":[{"award-number":["72072008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["buctrc201804"],"award-info":[{"award-number":["buctrc201804"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["XK1802-5"],"award-info":[{"award-number":["XK1802-5"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Funds for Basic Scientific Research in Central Universities","award":["71532003"],"award-info":[{"award-number":["71532003"]}]},{"name":"Funds for Basic Scientific Research in Central Universities","award":["72072008"],"award-info":[{"award-number":["72072008"]}]},{"name":"Funds for Basic Scientific Research in Central Universities","award":["buctrc201804"],"award-info":[{"award-number":["buctrc201804"]}]},{"name":"Funds for Basic Scientific Research in Central Universities","award":["XK1802-5"],"award-info":[{"award-number":["XK1802-5"]}]},{"name":"Funds for First-class Discipline Construction in Beijing University of Chemical Technology","award":["71532003"],"award-info":[{"award-number":["71532003"]}]},{"name":"Funds for First-class Discipline Construction in Beijing University of Chemical Technology","award":["72072008"],"award-info":[{"award-number":["72072008"]}]},{"name":"Funds for First-class Discipline Construction in Beijing University of Chemical Technology","award":["buctrc201804"],"award-info":[{"award-number":["buctrc201804"]}]},{"name":"Funds for First-class Discipline Construction in Beijing University of Chemical Technology","award":["XK1802-5"],"award-info":[{"award-number":["XK1802-5"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>It is widely known that symmetry does exist in management systems, such as economics, management, and even daily life. In addition, effective and qualified decision-making methods can enhance the performance and symmetry of management systems. Hence, this paper focuses on a decision-making method. Linguistic interval-valued q-rung orthopair fuzzy sets (LIVq-ROFSs) have recently been proposed as being effective in describing decision-makers\u2019 evaluation values in complex situations. This paper proposes a novel multi-attribute group decision-making (MAGDM) method with LIVq-ROFSs to handle realistic decision-making problems. The main contributions of this study are three-fold. First, a new method for determining the weight information of attributes based on decision makers\u2019 evaluation values is proposed. Second, the classical TODIM is extended into LIVq-ROFSs and a new decision-making method is proposed. Third, our proposed MAGDM method is applied to a real decision-making problem to reveal its effectiveness.<\/jats:p>","DOI":"10.3390\/sym16091161","type":"journal-article","created":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T06:44:29Z","timestamp":1725518669000},"page":"1161","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Interval-Valued Linguistic q-Rung Orthopair Fuzzy TODIM with Unknown Attribute Weight Information"],"prefix":"10.3390","volume":"16","author":[{"given":"Yushu","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Economics and Management, Beijing University of Chemical Technology, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fangcheng","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Beihang University, Beijing 100091, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zeyuan","family":"Song","sequence":"additional","affiliation":[{"name":"China Institute of Marine Technology and Economy, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Beijing University of Chemical Technology, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,9,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1222","DOI":"10.1109\/TFUZZ.2016.2604005","article-title":"Generalized orthopair fuzzy sets","volume":"25","author":"Yager","year":"2016","journal-title":"IEEE Trans. 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