{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T17:31:58Z","timestamp":1769707918141,"version":"3.49.0"},"reference-count":81,"publisher":"SAGE Publications","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,10,4]]},"abstract":"<jats:p>The art curriculum is a compulsory course for students in the compulsory education stage, which is beneficial in cultivating students\u2019 sentiments, cultivating their temperament and improving their intelligence. Since the new curriculum reform, the art curriculum has been implemented for nearly twenty years, and it has made great breakthroughs and gains. However, at the same time, there are many problems in the process of implementing the art curriculum. The art teaching effectiveness evaluation of primary schools is viewed as the multi-attribute decision-making (MADM). In this paper, the triangular fuzzy neutrosophic number cross-entropy (TFNN-CE) method is designed with help of cross-entropy and triangular fuzzy neutrosophic sets (TFNSs). Furthermore, Then, TFNN-CE method is built to solve the MADM. Finally, a numerical example for art teaching effectiveness evaluation of primary schools is given and some comparisons are conducted to r illustrate advantages of the designed method.<\/jats:p>","DOI":"10.3233\/jifs-232638","type":"journal-article","created":{"date-parts":[[2023,7,14]],"date-time":"2023-07-14T11:41:26Z","timestamp":1689334886000},"page":"5291-5301","source":"Crossref","is-referenced-by-count":3,"title":["Modified cross-entropy methodology for art teaching effectiveness evaluation of primary schools with the triangular fuzzy neutrosophic information"],"prefix":"10.1177","volume":"45","author":[{"given":"Guodong","family":"Wang","sequence":"first","affiliation":[{"name":"School of Education Science, Nanjing Normal University, Nanjing, China"}]},{"given":"Zhen","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Education Science, Jiangsu Normal University, Xuzhou, China"}]},{"given":"Guowei","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Computer and Electronic Information, Nanjing Normal University, Nanjing, China"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-232638_ref1","first-page":"19","article-title":"A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making","volume":"9","author":"Ren","year":"2017","journal-title":"Symmetry-Basel"},{"key":"10.3233\/JIFS-232638_ref2","doi-asserted-by":"crossref","first-page":"3781","DOI":"10.1007\/s00521-016-2273-0","article-title":"Multi-criteria group decision-making methods based on new intuitionistic fuzzy Einstein hybrid weighted aggregation operators","volume":"28","author":"Zhang","year":"2017","journal-title":"Neural Computing & Applications"},{"key":"10.3233\/JIFS-232638_ref3","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1186\/s12544-018-0318-4","article-title":"Group decision making process for early stage evaluations of infrastructure projects using extended VIKOR method under fuzzy environment","volume":"10","author":"Belosevic","year":"2018","journal-title":"European Transport Research Review"},{"key":"10.3233\/JIFS-232638_ref4","doi-asserted-by":"crossref","first-page":"12","DOI":"10.36909\/jer.v9i1.10331","article-title":"Particle swarm optimization application for multiple attribute decision making in vertical handover in heterogenous wireless networks","volume":"9","author":"Al-Gharabally","year":"2021","journal-title":"J. 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