{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,27]],"date-time":"2026-04-27T11:46:59Z","timestamp":1777290419135,"version":"3.51.4"},"reference-count":48,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"name":"Fundamental Research Grant Scheme (FRGS), Ministry of Education Malaysia","award":["203\/PMATHS\/6711804"],"award-info":[{"award-number":["203\/PMATHS\/6711804"]}]},{"DOI":"10.13039\/501100004595","name":"Universiti Sains Malaysia","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004595","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/access.2021.3068998","type":"journal-article","created":{"date-parts":[[2021,3,26]],"date-time":"2021-03-26T19:41:28Z","timestamp":1616787688000},"page":"50831-50845","source":"Crossref","is-referenced-by-count":61,"title":["Random Satisfiability: A Higher-Order Logical Approach in Discrete Hopfield Neural Network"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1659-9233","authenticated-orcid":false,"given":"Syed Anayet","family":"Karim","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2919-1747","authenticated-orcid":false,"given":"Nur Ezlin","family":"Zamri","sequence":"additional","affiliation":[{"name":"School of Distance Education, Universiti Sains Malaysia, Penang, Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0823-1925","authenticated-orcid":false,"given":"Alyaa","family":"Alway","sequence":"additional","affiliation":[{"name":"School of Distance Education, Universiti Sains Malaysia, Penang, Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9125-1101","authenticated-orcid":false,"given":"Mohd Shareduwan","family":"Mohd Kasihmuddin","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia"}]},{"given":"Ahmad Izani","family":"Md Ismail","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3516-5898","authenticated-orcid":false,"given":"Mohd. Asyraf","family":"Mansor","sequence":"additional","affiliation":[{"name":"School of Distance Education, Universiti Sains Malaysia, Penang, Malaysia"}]},{"given":"Nik Fathihah","family":"Abu Hassan","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.3390\/electronics9091468"},{"key":"ref38","first-page":"545","article-title":"Metaheuristics approach for maximum K satisfiability in restricted neural symbolic integration","volume":"28","author":"sathasivam","year":"2020","journal-title":"Pertanika J Sci Technol"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1111\/j.1469-8137.1912.tb05611.x"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.5815\/ijisa.2016.10.05"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2019.04.016"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(97)00026-9"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1051\/sbuild\/2019006"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"1","DOI":"10.31181\/dmame2003001s","article-title":"A rough set approach for forecasting models","volume":"3","author":"sharma","year":"2020","journal-title":"Decis Making Appl Manage Eng"},{"key":"ref35","first-page":"203","article-title":"Plant complexes in the Pieniny","volume":"2","author":"kulczynski","year":"1927","journal-title":"Int Newslett Porlish Acad Sci Lett Class Math Natural Sci"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.2331\/suisan.22.522"},{"key":"ref10","first-page":"7992","article-title":"Learning local search heuristics for Boolean satisfiability","author":"yolcu","year":"2019","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2020.106346"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/int.4550070604"},{"key":"ref12","first-page":"115","article-title":"Upgrading logic programming in Hopfield network","volume":"39","author":"sathasivam","year":"2010","journal-title":"Sains Malaysiana"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.5815\/ijisa.2016.11.04"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.9781\/ijimai.2017.448"},{"key":"ref15","first-page":"139","article-title":"Hybrid genetic algorithm in the Hopfield network for logic satisfiability problem","volume":"25","author":"kasihmuddin","year":"2017","journal-title":"Pertanika J Sci Technol"},{"key":"ref16","first-page":"983","article-title":"Modified imperialistic competitive algorithm in Hopfield neural network for Boolean three satisfiability logic mining","volume":"28","author":"zamri","year":"2020","journal-title":"Pertanika J Sci Technol"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.3390\/math7111133"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"12011","DOI":"10.1088\/1742-6596\/233\/1\/012011","article-title":"Solution space heterogeneity of the random K-satisfiability problem: Theory and simulations","author":"zhou","year":"2010","journal-title":"Proc J Phys Conf"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.037702"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.4236\/ajibm.2018.83036"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/BF00339943","article-title":"‘Neural’ computation of decisions in optimization problems","volume":"52","author":"hopfield","year":"1985","journal-title":"Biol Cybern"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.trd.2018.05.005"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jefas.2016.07.002"},{"key":"ref6","first-page":"967","article-title":"Palm oil trend analysis via logic mining with discrete Hopfield neural network","volume":"28","author":"alway","year":"2020","journal-title":"Pertanika J Sci Technol"},{"key":"ref29","first-page":"52","article-title":"Genetic algorithm for restricted maximum K-satisfiability in the Hopfield network","volume":"4","author":"kasihmuddin","year":"2016","journal-title":"Int J Artif Intell Interact Multimedia"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2016.07.065"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1186\/s13638-020-01692-7"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.3390\/e22060596"},{"key":"ref2","first-page":"18","article-title":"Artificial neural network for predicting animals category","volume":"3","author":"nasser","year":"2019","journal-title":"Int J Agron Agric Res"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1063\/1.5136467"},{"key":"ref1","first-page":"27","article-title":"Artificial neural network for diagnosing autism spectrum disorder","volume":"3","author":"nasser","year":"2019","journal-title":"Int J Academic Inf Syst Res"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1002\/widm.1327"},{"key":"ref20","first-page":"13305","article-title":"Local search methods based on variable focusing for random K-satisfiability","volume":"91","author":"lemoy","year":"2015","journal-title":"Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Top"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.measurement.2020.107757"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/j.istruc.2020.07.058"},{"key":"ref22","first-page":"1","article-title":"Systematic satisfiability programming in Hopfield neural network-a hybrid expert system for medical screening","volume":"2","author":"kasihmuddin","year":"2020","journal-title":"Comm on Appl Math And Comput"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/s12652-019-01387-y"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.3390\/pr8050568"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0215309"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.7763\/IJFCC.2013.V2.130"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1366\/1\/012094"},{"key":"ref23","first-page":"81","article-title":"Modified artificial immune system algorithm with Elliot Hopfield neural network for 3-satisfiability programming","volume":"11","author":"mansor","year":"2019","journal-title":"Information and Mathematical Science"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1186\/s13321-018-0302-y"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.5815\/ijisa.2016.12.02"},{"key":"ref43","doi-asserted-by":"crossref","DOI":"10.1007\/s11704-020-9248-0","article-title":"Properties of the satisfiability threshold of the strictly d-regular random (3,2s)-SAT problem","volume":"14","author":"wang","year":"2020","journal-title":"Frontiers Comput Sci"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/JXCDC.2020.2992691"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/9312710\/09387311.pdf?arnumber=9387311","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,22]],"date-time":"2022-12-22T15:54:13Z","timestamp":1671724453000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9387311\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":48,"URL":"https:\/\/doi.org\/10.1109\/access.2021.3068998","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}