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How narwhals work [Internet]. [cited 2025 Mar 10]. Available from: https:\/\/animals.howstuffworks.com\/mammals\/narwhal.htm."},{"key":"ref61","unstructured":"Narwhals, Monodon monoceros (Video) [Internet]. [cited 2025 Mar 10]. Available from: https:\/\/www.marinebio.org\/species\/narwhals\/monodon-monoceros\/."},{"key":"ref62","unstructured":"How narwhals use their tusks (Video) [Internet]. [cited 2025 Mar 10]. Available from: https:\/\/www.worldwildlife.org\/videos\/how-narwhals-use-their-tusks."},{"key":"ref63","unstructured":"Description of Narwhal [Internet]. [cited 2025 Mar 10]. Available from: https:\/\/a-dinosaur-a-day.com\/post\/135006696625\/monodon-monoceros-narwhal."},{"key":"ref64","unstructured":"Narwhals stun fish with their tusk [Internet]. [cited 2025 Mar 10]. Available from: https:\/\/rangerrick.org\/rr_videos\/narwhal-stun-fish-tusk-eat\/."},{"key":"ref65","unstructured":"Awad NH, Ali MZ, Liang JJ, Qu BY, Suganthan PN. Problem definitions and evaluation criteria for the CEC 2017 special session and competition on single objective bound constrained real-parameter numerical optimization. Singapore: Nanyang Technological University; 2016."},{"key":"ref66","doi-asserted-by":"crossref","first-page":"447","DOI":"10.12928\/telkomnika.v23i2.26615","article-title":"Enhancing spam detection using Harris Hawks optimization algorithm","volume":"23","author":"Abualhaj","year":"2025","journal-title":"TELKOMNIKA Telecommun Comput Electron Control"},{"key":"ref67","doi-asserted-by":"crossref","first-page":"1692","DOI":"10.47738\/jads.v5i4.336","article-title":"Spam feature selection using firefly metaheuristic algorithm","volume":"5","author":"Abualhaj","year":"2024","journal-title":"J Appl Data Sci"},{"key":"ref68","doi-asserted-by":"crossref","first-page":"1046","DOI":"10.3390\/sym12061046","article-title":"A feature selection model for network intrusion detection system based on PSO, GWO, FFA and GA algorithms","volume":"12","author":"Almomani","year":"2020","journal-title":"Symmetry"},{"key":"ref69","doi-asserted-by":"crossref","first-page":"409","DOI":"10.32604\/cmc.2021.016113","article-title":"A hybrid model using bio-inspired metaheuristic algorithms for network intrusion detection system","volume":"68","author":"Almomani","year":"2021","journal-title":"Comput Mater Continua"},{"key":"ref70","article-title":"Enhance URL defacement attack detection using particle swarm optimization and machine learning","author":"Almomani","year":"2025","journal-title":"J Comput Cogn Eng Forthcoming"},{"key":"ref71","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1007\/978-1-4612-4380-9_16","author":"Wilcoxon","year":"1992","journal-title":"Breakthroughs in statistics"}],"container-title":["Computers, Materials & Continua"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/cdn.techscience.cn\/files\/cmc\/2025\/TSP_CMC-85-2\/TSP_CMC_66797\/TSP_CMC_66797.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T05:35:46Z","timestamp":1764826546000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.techscience.com\/cmc\/v85n2\/63798"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"references-count":71,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2025]]},"published-print":{"date-parts":[[2025]]}},"URL":"https:\/\/doi.org\/10.32604\/cmc.2025.066797","relation":{},"ISSN":["1546-2226"],"issn-type":[{"value":"1546-2226","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]}}}