{"id":"https://openalex.org/W1966484219","doi":"https://doi.org/10.1109/ijcnn.2007.4371421","title":"Gaussian Versus Cauchy Membership Functions in Fuzzy PSO","display_name":"Gaussian Versus Cauchy Membership Functions in Fuzzy PSO","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W1966484219","doi":"https://doi.org/10.1109/ijcnn.2007.4371421","mag":"1966484219"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2007.4371421","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2007.4371421","pdf_url":null,"source":{"id":"https://openalex.org/S4210195743","display_name":"IEEE International Conference on Neural Networks/IEEE ... International Conference on Neural Networks","issn_l":"1098-7576","issn":["1098-7576","1558-3902"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 International Joint Conference on Neural Networks","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079888480","display_name":"Ashraf M. Abdelbar","orcid":"https://orcid.org/0000-0002-7921-1892"},"institutions":[{"id":"https://openalex.org/I80693520","display_name":"American University in Cairo","ror":"https://ror.org/0176yqn58","country_code":"EG","type":"education","lineage":["https://openalex.org/I80693520"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Ashraf M. Abdelbar","raw_affiliation_strings":["Department of Computer Science, American University, Cairo, Cairo, Egypt","American Univ. In Cairo, Cairo"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, American University, Cairo, Cairo, Egypt","institution_ids":["https://openalex.org/I80693520"]},{"raw_affiliation_string":"American Univ. In Cairo, Cairo","institution_ids":["https://openalex.org/I80693520"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108195476","display_name":"Suzan Abdelshahid","orcid":null},"institutions":[{"id":"https://openalex.org/I80693520","display_name":"American University in Cairo","ror":"https://ror.org/0176yqn58","country_code":"EG","type":"education","lineage":["https://openalex.org/I80693520"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Suzan Abdelshahid","raw_affiliation_strings":["Department of Computer Science, American University, Cairo, Cairo, Egypt","American Univ. In Cairo, Cairo"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, American University, Cairo, Cairo, Egypt","institution_ids":["https://openalex.org/I80693520"]},{"raw_affiliation_string":"American Univ. In Cairo, Cairo","institution_ids":["https://openalex.org/I80693520"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038037619","display_name":"Donald C. Wunsch","orcid":"https://orcid.org/0000-0002-9726-9051"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Donald C. Wunsch","raw_affiliation_strings":["University of Missouri, Rolla, USA","University of Missouri - Rolla"],"affiliations":[{"raw_affiliation_string":"University of Missouri, Rolla, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"University of Missouri - Rolla","institution_ids":["https://openalex.org/I20382870"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079888480"],"corresponding_institution_ids":["https://openalex.org/I80693520"],"apc_list":null,"apc_paid":null,"fwci":0.3806,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.55223881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2902","last_page":"2907"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.7489855289459229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6543619632720947},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.637450098991394},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6312118768692017},{"id":"https://openalex.org/keywords/charisma","display_name":"Charisma","score":0.6167852878570557},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5918370485305786},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.494639128446579},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.47764766216278076},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.47048333287239075},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4515314996242523},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4268532395362854},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.42579710483551025},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3578236699104309},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2595794200897217},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23793643712997437},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19754618406295776},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10936477780342102}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.7489855289459229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6543619632720947},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.637450098991394},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6312118768692017},{"id":"https://openalex.org/C32772713","wikidata":"https://www.wikidata.org/wiki/Q118157","display_name":"Charisma","level":2,"score":0.6167852878570557},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5918370485305786},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.494639128446579},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.47764766216278076},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.47048333287239075},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4515314996242523},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4268532395362854},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.42579710483551025},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3578236699104309},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2595794200897217},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23793643712997437},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19754618406295776},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10936477780342102},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2007.4371421","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2007.4371421","pdf_url":null,"source":{"id":"https://openalex.org/S4210195743","display_name":"IEEE International Conference on Neural Networks/IEEE ... International Conference on Neural Networks","issn_l":"1098-7576","issn":["1098-7576","1558-3902"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 International Joint Conference on Neural Networks","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1487965496","https://openalex.org/W1502205195","https://openalex.org/W1538131879","https://openalex.org/W1545730907","https://openalex.org/W1577668191","https://openalex.org/W1585002319","https://openalex.org/W1598801990","https://openalex.org/W1996736107","https://openalex.org/W2081749411","https://openalex.org/W2096206883","https://openalex.org/W2100439353","https://openalex.org/W2102409426","https://openalex.org/W2107941094","https://openalex.org/W2116044951","https://openalex.org/W2116401251","https://openalex.org/W2137947700","https://openalex.org/W2139339670","https://openalex.org/W2145113795","https://openalex.org/W2152195021","https://openalex.org/W2157601049","https://openalex.org/W2165299997","https://openalex.org/W2165372647","https://openalex.org/W2169245194","https://openalex.org/W2171910769","https://openalex.org/W2243506842","https://openalex.org/W6629443124","https://openalex.org/W6634715273","https://openalex.org/W6635830656","https://openalex.org/W6677319862","https://openalex.org/W6683477168","https://openalex.org/W6684615325"],"related_works":["https://openalex.org/W3125794121","https://openalex.org/W87675884","https://openalex.org/W154406135","https://openalex.org/W2132859092","https://openalex.org/W2320922716","https://openalex.org/W2166637398","https://openalex.org/W2384503959","https://openalex.org/W2181335288","https://openalex.org/W2012019755","https://openalex.org/W2374152511"],"abstract_inverted_index":{"In":[0,76],"standard":[1,29],"particle":[2,8,50],"swarm":[3],"optimization":[4],"(PSO),":[5],"the":[6,19,32,82,85,93,96,102,105,109],"best":[7],"in":[9,18,31,51],"each":[10,52],"neighborhood":[11,53],"exerts":[12],"its":[13,74],"influence":[14,66],"over":[15,37],"other":[16],"particles":[17],"neighborhood.":[20],"Fuzzy":[21],"PSO":[22,30],"is":[23,39,63],"a":[24,43,56,69],"generalization":[25],"which":[26],"differs":[27],"from":[28],"following":[33],"respect:":[34],"charisma":[35,97],"(influence":[36],"others)":[38],"defined":[40],"to":[41,65,68],"be":[42],"fuzzy":[44,98],"variable,":[45],"and":[46,87],"more":[47],"than":[48],"one":[49],"can":[54],"have":[55],"non-zero":[57],"degree":[58,70],"of":[59,84,95,104],"charisma,":[60],"and,":[61],"consequently,":[62],"allowed":[64],"others":[67],"that":[71],"depends":[72],"on":[73],"charisma.":[75],"this":[77],"paper,":[78],"we":[79],"compare":[80],"between":[81],"use":[83],"Gaussian":[86],"Cauchy":[88],"membership":[89],"functions":[90],"(MF)":[91],"as":[92],"MF":[94],"variable.":[99],"We":[100],"evaluate":[101],"performance":[103],"two":[106],"MFs":[107],"using":[108],"weighted":[110],"max-sat":[111],"problem.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
