{"id":"https://openalex.org/W7116865276","doi":"https://doi.org/10.3390/a19010016","title":"Recognition Dilemma for Similarity Measure Based on the Radius of Gyration","display_name":"Recognition Dilemma for Similarity Measure Based on the Radius of Gyration","publication_year":2025,"publication_date":"2025-12-23","ids":{"openalex":"https://openalex.org/W7116865276","doi":"https://doi.org/10.3390/a19010016"},"language":"en","primary_location":{"id":"doi:10.3390/a19010016","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a19010016","pdf_url":"https://www.mdpi.com/1999-4893/19/1/16/pdf?version=1766484598","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/19/1/16/pdf?version=1766484598","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5121089174","display_name":"Shusheng Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136047","display_name":"Weifang University of Science and Technology","ror":"https://ror.org/04ha2bb10","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136047"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shusheng Wu","raw_affiliation_strings":["School of Mathematics and Physics Teaching Center, Weifang University of Science and Technology, Weifang 262700, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics Teaching Center, Weifang University of Science and Technology, Weifang 262700, China","institution_ids":["https://openalex.org/I4210136047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056708952","display_name":"Xiao Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136047","display_name":"Weifang University of Science and Technology","ror":"https://ror.org/04ha2bb10","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136047"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Zhou","raw_affiliation_strings":["School of Mathematics and Physics Teaching Center, Weifang University of Science and Technology, Weifang 262700, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics Teaching Center, Weifang University of Science and Technology, Weifang 262700, China","institution_ids":["https://openalex.org/I4210136047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086118743","display_name":"Gino K. Yang","orcid":"https://orcid.org/0000-0002-8500-9914"},"institutions":[{"id":"https://openalex.org/I95858998","display_name":"Hungkuang University","ror":"https://ror.org/02f2vsx71","country_code":"TW","type":"education","lineage":["https://openalex.org/I95858998"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Gino K. Yang","raw_affiliation_strings":["Department of Multimedia Game Development and Application, Hungkuang University, Taichung 433304, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Multimedia Game Development and Application, Hungkuang University, Taichung 433304, Taiwan","institution_ids":["https://openalex.org/I95858998"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086118743"],"corresponding_institution_ids":["https://openalex.org/I95858998"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.72398721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"1","first_page":"16","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.33980000019073486,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.33980000019073486,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.06629999727010727,"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/T10656","display_name":"Child and Animal Learning Development","score":0.04580000042915344,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7903000116348267},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.742900013923645},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7095000147819519},{"id":"https://openalex.org/keywords/radius-of-gyration","display_name":"Radius of gyration","score":0.6308000087738037},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.6187000274658203},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5103999972343445},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4620000123977661}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7903000116348267},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.742900013923645},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7095000147819519},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6543999910354614},{"id":"https://openalex.org/C168568712","wikidata":"https://www.wikidata.org/wiki/Q909999","display_name":"Radius of gyration","level":3,"score":0.6308000087738037},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.6187000274658203},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5103999972343445},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4620000123977661},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45320001244544983},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4512999951839447},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4230000078678131},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4101000130176544},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3068999946117401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.304500013589859},{"id":"https://openalex.org/C2778297186","wikidata":"https://www.wikidata.org/wiki/Q5625393","display_name":"Gyration","level":2,"score":0.30399999022483826},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.29030001163482666},{"id":"https://openalex.org/C143271835","wikidata":"https://www.wikidata.org/wiki/Q254515","display_name":"Similitude","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.27239999175071716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25870001316070557}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a19010016","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a19010016","pdf_url":"https://www.mdpi.com/1999-4893/19/1/16/pdf?version=1766484598","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7b0c5ec96f9044eb94b0aeeea31d7867","is_oa":true,"landing_page_url":"https://doaj.org/article/7b0c5ec96f9044eb94b0aeeea31d7867","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 19, Iss 1, p 16 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a19010016","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a19010016","pdf_url":"https://www.mdpi.com/1999-4893/19/1/16/pdf?version=1766484598","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4813322126865387}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7116865276.pdf","grobid_xml":"https://content.openalex.org/works/W7116865276.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W1591765062","https://openalex.org/W1597994796","https://openalex.org/W1965074968","https://openalex.org/W1966731082","https://openalex.org/W1967995183","https://openalex.org/W1971519855","https://openalex.org/W1975040485","https://openalex.org/W1977522059","https://openalex.org/W1982433890","https://openalex.org/W1982618675","https://openalex.org/W1986547874","https://openalex.org/W1989450147","https://openalex.org/W1991009878","https://openalex.org/W1994937951","https://openalex.org/W2008333002","https://openalex.org/W2009132258","https://openalex.org/W2013650127","https://openalex.org/W2018104927","https://openalex.org/W2024492332","https://openalex.org/W2027142749","https://openalex.org/W2039791408","https://openalex.org/W2046938749","https://openalex.org/W2048524688","https://openalex.org/W2052621174","https://openalex.org/W2062955803","https://openalex.org/W2063373779","https://openalex.org/W2064820676","https://openalex.org/W2067621425","https://openalex.org/W2067648457","https://openalex.org/W2068725855","https://openalex.org/W2069619324","https://openalex.org/W2092745096","https://openalex.org/W2111109641","https://openalex.org/W2112768365","https://openalex.org/W2125906479","https://openalex.org/W2126120381","https://openalex.org/W2308791864","https://openalex.org/W2405736740","https://openalex.org/W2434040997","https://openalex.org/W2780111118","https://openalex.org/W2792434089","https://openalex.org/W2793580698","https://openalex.org/W2796918871","https://openalex.org/W2802782456","https://openalex.org/W2913054510","https://openalex.org/W3030249555","https://openalex.org/W3032393056","https://openalex.org/W3097418205","https://openalex.org/W3160816670","https://openalex.org/W4211007335"],"related_works":[],"abstract_inverted_index":{"We":[0,24,60],"use":[1],"an":[2],"analytical":[3],"algorithm":[4],"to":[5,37,56,85,98,114],"show":[6,62],"that":[7,39,63,74,94,101],"the":[8,13,26,29,34,44,47,53],"similarity":[9,80,107],"measure":[10],"based":[11],"on":[12,76],"radius":[14,30],"of":[15,28,31,43,46],"gyration,":[16],"still":[17],"suffers":[18],"from":[19],"unresolved":[20],"pattern":[21,88],"recognition":[22,89],"dilemmas.":[23,90],"improve":[25],"results":[27],"gyration":[32],"with":[33,105],"y":[35],"axis":[36],"prove":[38],"it":[40],"is":[41,52,82],"independent":[42],"height":[45],"trapezoidal":[48],"fuzzy":[49],"number,":[50],"which":[51],"key":[54],"factor":[55],"constructing":[57],"our":[58],"counterexample.":[59],"also":[61],"a":[64,78,117],"previously":[65],"developed":[66],"counterexample":[67],"contained":[68],"questionable":[69],"results.":[70],"Our":[71],"findings":[72],"demonstrate":[73],"relying":[75],"only":[77],"few":[79],"measures":[81,108,113],"not":[83],"sufficient":[84],"fully":[86],"resolve":[87],"Hence,":[91],"we":[92],"suggest":[93],"researchers":[95],"who":[96],"refer":[97],"those":[99,112],"papers":[100],"constructed":[102],"iterative":[103],"algorithms":[104],"several":[106],"and":[109],"repeatedly":[110],"applied":[111],"look":[115],"for":[116],"complete":[118],"solution":[119],"algorithm.":[120]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-12-23T00:00:00"}