{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T15:27:20Z","timestamp":1770046040784,"version":"3.49.0"},"reference-count":45,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2021,11,27]],"date-time":"2021-11-27T00:00:00Z","timestamp":1637971200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems: Applications in Engineering and Technology"],"published-print":{"date-parts":[[2021,12,16]]},"abstract":"<jats:p>As a generalization of Pythagorean fuzzy sets and picture fuzzy sets, spherical fuzzy sets provide decision makers more flexible space in expressing their opinions. Preference relations have received widespread acceptance as an efficient tool in representing decision makers\u2019 preference over alternatives in the decision-making process. In this paper, some new preference relations are investigated based on the spherical fuzzy sets. Firstly, the deficiency of the existing operating laws is elaborated in detail and three cases are described to identify the accuracy of the proposed operating laws in the context of t-spherical fuzzy environment. Also, a novel score function is proposed to obtain the consistent value in ranking of the alternatives. The backbone of this research, t-spherical fuzzy preference relation, consistent t-spherical fuzzy preference relations, incomplete t-spherical fuzzy preference relations, consistent incomplete t-spherical fuzzy preference relations, and acceptable incomplete t-spherical fuzzy preference relations are established. Additionally, some ranking and selection algorithms are established using the proposed novel score function and preference relations to tackle the uncertainty in real-life decision-making problems. Finally, evaluation of the product quality of the online shopping platform problem is demonstrated to show the applicability and reliability of proposed technique.<\/jats:p>","DOI":"10.3233\/jifs-202930","type":"journal-article","created":{"date-parts":[[2021,12,7]],"date-time":"2021-12-07T14:09:21Z","timestamp":1638886161000},"page":"6245-6262","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Evaluation of the product quality of the online shopping platform using\n                    <i>t<\/i>\n                    -spherical fuzzy preference relations"],"prefix":"10.1177","volume":"41","author":[{"given":"Choonkil","family":"Park","sequence":"first","affiliation":[{"name":"Hanyang University","place":["Korea"]}]},{"given":"Shahzaib","family":"Ashraf","sequence":"additional","affiliation":[{"name":"Bacha Khan University","place":["Pakistan"]}]},{"given":"Noor","family":"Rehman","sequence":"additional","affiliation":[{"name":"Bacha Khan University","place":["Pakistan"]}]},{"given":"Saleem","family":"Abdullah","sequence":"additional","affiliation":[{"name":"Abdul Wali Khan University","place":["Pakistan"]}]},{"given":"Muhammad","family":"Aslam","sequence":"additional","affiliation":[{"name":"King Khalid University","place":["Saudi Arabia"]}]}],"member":"179","published-online":{"date-parts":[[2021,11,27]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.3390\/math8060951"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.3390\/mca25010008"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40096-018-0266-0"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00574-018-0103-y"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22062"},{"key":"e_1_3_2_7_2","first-page":"2829","article-title":"Spherical fuzzy sets and their applications in multi-attribute decision making problems, & }","volume":"36","author":"Ashraf S.","year":"2019","unstructured":"AshrafS., AbdullahS., MahmoodT., GhaniF. and MahmoodT., Spherical fuzzy sets and their applications in multi-attribute decision making problems, & }, Fuzzy Systems 36 (2019), 2829\u20132844.","journal-title":"Fuzzy Systems"},{"key":"e_1_3_2_8_2","first-page":"6089","article-title":"Spherical fuzzy sets and its representation of spherical fuzzy t-norms and t-conorms, & }(6)","volume":"36","author":"Ashraf S.","year":"2019","unstructured":"AshrafS., AbdullahS., AslamM., QiyasM. and KutbiM.A., Spherical fuzzy sets and its representation of spherical fuzzy t-norms and t-conorms, & }(6), Fuzzy Systems 36 (2019), 6089\u20136102.","journal-title":"Fuzzy Systems"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12652-019-01333-y"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7080661"},{"key":"e_1_3_2_11_2","doi-asserted-by":"crossref","unstructured":"AshrafS. 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