{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T09:31:56Z","timestamp":1769160716409,"version":"3.49.0"},"reference-count":37,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T00:00:00Z","timestamp":1586822400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100005645","name":"B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u00d0\u00e0o t\u1ea1o","doi-asserted-by":"publisher","award":["B2019-TMA-02"],"award-info":[{"award-number":["B2019-TMA-02"]}],"id":[{"id":"10.13039\/501100005645","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Dynamic multi-criteria decision-making (DMCDM) models have many meaningful applications in real life in which solving indeterminacy of information in DMCDMs strengthens the potential application of DMCDM. This study introduces an extension of dynamic internal-valued neutrosophic sets namely generalized dynamic internal-valued neutrosophic sets. Based on this extension, we develop some operators and a TOPSIS method to deal with the change of both criteria, alternatives, and decision-makers by time. In addition, this study also applies the proposal model to a real application that facilitates ranking students according to attitude-skill-knowledge evaluation model. This application not only illustrates the correctness of the proposed model but also introduces its high potential appliance in the education domain.<\/jats:p>","DOI":"10.3390\/sym12040618","type":"journal-article","created":{"date-parts":[[2020,4,15]],"date-time":"2020-04-15T04:01:46Z","timestamp":1586923306000},"page":"618","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["A Novel Dynamic Multi-Criteria Decision Making Method Based on Generalized Dynamic Interval-Valued Neutrosophic Set"],"prefix":"10.3390","volume":"12","author":[{"given":"Nguyen Tho","family":"Thong","sequence":"first","affiliation":[{"name":"VNU Information Technology Institute, Vietnam National University, Hanoi 010000, Vietnam"},{"name":"Center for High-Performance Computing, VNU University of Engineering and Technology, Vietnam National University, Hanoi 010000, Vietnam"}]},{"given":"Florentin","family":"Smarandache","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of New Mexico, 705 Gurley Ave, Gallup, NM 87301, USA"}]},{"given":"Nguyen Dinh","family":"Hoa","sequence":"additional","affiliation":[{"name":"VNU Information Technology Institute, Vietnam National University, Hanoi 010000, Vietnam"}]},{"given":"Le Hoang","family":"Son","sequence":"additional","affiliation":[{"name":"VNU Information Technology Institute, Vietnam National University, Hanoi 010000, Vietnam"}]},{"given":"Luong Thi Hong","family":"Lan","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science and Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi 010000, Vietnam"},{"name":"Institute of Information Technology, Vietnam Academy of Science and Technology, Hanoi 010000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2189-0036","authenticated-orcid":false,"given":"Cu Nguyen","family":"Giap","sequence":"additional","affiliation":[{"name":"Faculty of Management Information System &amp; E-commerce, Thuongmai University, 79 Ho Tung Mau, Nam Tu Liem, Hanoi 010000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8334-9985","authenticated-orcid":false,"given":"Dao The","family":"Son","sequence":"additional","affiliation":[{"name":"Department of Economics, Thuongmai University, 79 Ho Tung Mau, Nam Tu Liem, Hanoi 010000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6657-0653","authenticated-orcid":false,"given":"Hoang Viet","family":"Long","sequence":"additional","affiliation":[{"name":"Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam"},{"name":"Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam"}]}],"member":"1968","published-online":{"date-parts":[[2020,4,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1016\/j.dss.2011.05.003","article-title":"A framework for dynamic multiple-criteria decision making","volume":"52","author":"Campanella","year":"2011","journal-title":"Decis. 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