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The dominance number of multidimensional fuzzy graphs is determined after undergoing operations such as direct product, tensor product, composition, join, and others. Ultimately, this study displays a decision-making problem that can be efficiently addressed by utilizing the concept of the dominance number. The effectiveness of this approach is then compared to various models, like [Formula: see text]-polar fuzzy sets.<\/jats:p>","DOI":"10.1142\/s1793005726500249","type":"journal-article","created":{"date-parts":[[2024,9,20]],"date-time":"2024-09-20T06:16:06Z","timestamp":1726812966000},"page":"473-494","source":"Crossref","is-referenced-by-count":0,"title":["On Domination and Related Concepts of Multidimensional Fuzzy Graphs and Their Applications"],"prefix":"10.1142","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-5450-120X","authenticated-orcid":false,"given":"Jomal","family":"Josen","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Institute of Technology Calicut, Kozhikode 673601, Kerala, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6333-2884","authenticated-orcid":false,"given":"Sunil Jacob","family":"John","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology Calicut, Kozhikode 673601, Kerala, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,11,6]]},"reference":[{"key":"S1793005726500249BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S1793005726500249BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-4429-6_2"},{"key":"S1793005726500249BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7908-1870-3_2"},{"key":"S1793005726500249BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-56936-4_5"},{"key":"S1793005726500249BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s41066-023-00414-w"},{"key":"S1793005726500249BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s42524-019-0017-4"},{"key":"S1793005726500249BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/s12652-022-04019-0"},{"key":"S1793005726500249BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/11539506_3"},{"key":"S1793005726500249BIB009","first-page":"416530","volume":"2014","author":"Chen J.","year":"2014","journal-title":"The Scientific World Journal"},{"key":"S1793005726500249BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/s41066-020-00214-6"},{"key":"S1793005726500249BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.04.044"},{"key":"S1793005726500249BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2020.2994997"},{"key":"S1793005726500249BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s42452-023-05448-y"},{"key":"S1793005726500249BIB014","unstructured":"Josen, S. 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