{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T02:02:57Z","timestamp":1773799377144,"version":"3.50.1"},"reference-count":57,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,7,28]],"date-time":"2021-07-28T00:00:00Z","timestamp":1627430400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>As q-rung orthopair fuzzy set (q-ROFS) theory can effectively express complex fuzzy information, this study explores its application to social network environments and proposes a social network group decision-making (SNGDM) method based on the q-ROFS. Firstly, the q-rung orthopair fuzzy value is used to represent the trust relationships between experts in the social network, and a trust q-rung orthopair fuzzy value is defined. Secondly, considering the decreasing and multipath of trust in the process of trust propagation, this study designs a trust propagation mechanism by using its multiplication operation in the q-ROFS environment and proposes a trust q-ROFS aggregation approach. Moreover, based on the trust scores and confidence levels of experts, a new integration operator called q-rung orthopair fuzzy-induced ordered weighted average operator is proposed to fuse experts\u2019 evaluation information. Additionally, considering the impact of consensus interaction on decision-making results, a consensus interaction model based on the q-ROF distance measure and trust relationship is proposed, including consistency measurement, identification of inconsistent expert decision-making opinions and a personalized adjustment mechanism. Finally, the SNGDM method is applied to solve the problem of evaluating online teaching quality.<\/jats:p>","DOI":"10.3390\/axioms10030168","type":"journal-article","created":{"date-parts":[[2021,7,28]],"date-time":"2021-07-28T11:12:52Z","timestamp":1627470772000},"page":"168","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Social Network Group Decision-Making Method Based on Q-Rung Orthopair Fuzzy Set and Its Application in the Evaluation of Online Teaching Quality"],"prefix":"10.3390","volume":"10","author":[{"given":"Yingjie","family":"Hu","sequence":"first","affiliation":[{"name":"School of Business, Ningbo University, Ningbo 315211, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3604-0843","authenticated-orcid":false,"given":"Shouzhen","family":"Zeng","sequence":"additional","affiliation":[{"name":"School of Business, Ningbo University, Ningbo 315211, China"},{"name":"College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1349-2716","authenticated-orcid":false,"given":"Llopis-Albert","family":"Carlos","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n en Ingenier\u00eda Mec\u00e1nica (CIIM), Universitat Polit\u00e8cnica de Val\u00e8ncia, Camino de Vera s\/n, 46022 Valencia, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1438-6413","authenticated-orcid":false,"given":"Kifayat","family":"Ullah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS), Riphah International University (Lahore Campus), Lahore 54000, Pakistan"}]},{"given":"Yuqi","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Mathematics, Southwest Jiaotong University, Chengdu 611756, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"9227","DOI":"10.3233\/JIFS-201672","article-title":"Research on the teaching quality evaluation of physical education with intuitionistic fuzzy TOPSIS method","volume":"40","author":"Liu","year":"2021","journal-title":"J. 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