{"id":"https://openalex.org/W3107135381","doi":"https://doi.org/10.1109/tfuzz.2020.3040038","title":"On \u03b1-Cross-Migrativity of Overlap (0-Overlap) Functions","display_name":"On \u03b1-Cross-Migrativity of Overlap (0-Overlap) Functions","publication_year":2020,"publication_date":"2020-11-25","ids":{"openalex":"https://openalex.org/W3107135381","doi":"https://doi.org/10.1109/tfuzz.2020.3040038","mag":"3107135381"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2020.3040038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.3040038","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-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/A5009023776","display_name":"Junsheng Qiao","orcid":"https://orcid.org/0000-0003-1854-9256"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]},{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junsheng Qiao","raw_affiliation_strings":["College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China","School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100729856","display_name":"Bin Zhao","orcid":"https://orcid.org/0000-0002-1338-853X"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Zhao","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009023776"],"corresponding_institution_ids":["https://openalex.org/I68986083","https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":1.6658,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.85867878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"30","issue":"2","first_page":"448","last_page":"461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"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":0.9994000196456909,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9783999919891357,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.7796761989593506},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5108323097229004},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4984428882598877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48188239336013794},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3813275694847107},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35271981358528137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35199597477912903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32736140489578247},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24106132984161377},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1672472357749939},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.059747546911239624}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7796761989593506},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5108323097229004},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4984428882598877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48188239336013794},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3813275694847107},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35271981358528137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35199597477912903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32736140489578247},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24106132984161377},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1672472357749939},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.059747546911239624},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2020.3040038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.3040038","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G5242573983","display_name":null,"funder_award_id":"11901465","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6702733740","display_name":null,"funder_award_id":"11531009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W47102112","https://openalex.org/W874732472","https://openalex.org/W1968505412","https://openalex.org/W1973962548","https://openalex.org/W1980862415","https://openalex.org/W1982209690","https://openalex.org/W1982776174","https://openalex.org/W1983091208","https://openalex.org/W1983659965","https://openalex.org/W1987898498","https://openalex.org/W1998690720","https://openalex.org/W2008553971","https://openalex.org/W2011278162","https://openalex.org/W2018263708","https://openalex.org/W2019189820","https://openalex.org/W2023837808","https://openalex.org/W2038181520","https://openalex.org/W2042067097","https://openalex.org/W2047725642","https://openalex.org/W2049871029","https://openalex.org/W2051881088","https://openalex.org/W2053519120","https://openalex.org/W2054887965","https://openalex.org/W2062215397","https://openalex.org/W2065299222","https://openalex.org/W2071848685","https://openalex.org/W2088624162","https://openalex.org/W2094811706","https://openalex.org/W2112675035","https://openalex.org/W2154442665","https://openalex.org/W2155199791","https://openalex.org/W2193120940","https://openalex.org/W2222312669","https://openalex.org/W2259130567","https://openalex.org/W2322552805","https://openalex.org/W2498861440","https://openalex.org/W2534146994","https://openalex.org/W2559077843","https://openalex.org/W2566789387","https://openalex.org/W2597236717","https://openalex.org/W2621268638","https://openalex.org/W2769805363","https://openalex.org/W2777602658","https://openalex.org/W2787857192","https://openalex.org/W2808650095","https://openalex.org/W2811422404","https://openalex.org/W2885083530","https://openalex.org/W2890484132","https://openalex.org/W2893332168","https://openalex.org/W2901130133","https://openalex.org/W2911650086","https://openalex.org/W2911985794","https://openalex.org/W2913747196","https://openalex.org/W2991628239","https://openalex.org/W2996754017","https://openalex.org/W3001184693","https://openalex.org/W3014408868","https://openalex.org/W4234672050","https://openalex.org/W4242872809","https://openalex.org/W6681943771"],"related_works":["https://openalex.org/W2963177394","https://openalex.org/W2024638892","https://openalex.org/W763418848","https://openalex.org/W1595229445","https://openalex.org/W1965815883","https://openalex.org/W149041114","https://openalex.org/W4313359513","https://openalex.org/W322408318","https://openalex.org/W4298135613","https://openalex.org/W38661524"],"abstract_inverted_index":{"Overlap":[0],"functions,":[1,9,46],"as":[2,36],"one":[3],"kind":[4],"of":[5,83,98,135,141,187,215,227,240,262],"special":[6],"binary":[7,44],"aggregation":[8,45],"have":[10],"been":[11,48],"continuously":[12],"concerned":[13],"and":[14,19,28,39,65,93,130,182,235,258],"studied":[15,49],"by":[16,137,211],"many":[17],"scholars":[18],"widely":[20],"applied":[21],"in":[22,50],"classification,":[23],"decision":[24],"making,":[25],"image":[26],"processing,":[27],"fuzzy":[29],"community":[30],"detection":[31],"problems.":[32],"Meanwhile,":[33],"the":[34,51,69,81,84,109,122,138,160,188,193,202,212,221,231,241,263,268],"migrativity":[35],"a":[37],"vital,":[38],"particularly,":[40],"interesting":[41],"property":[42],"for":[43,75,90],"has":[47],"literature":[52],"since":[53],"it":[54],"was":[55],"proposed.":[56],"This":[57],"article":[58],"continues":[59],"to":[60,121,159,180,201,230,253,276],"consider":[61],"this":[62],"research":[63],"topic":[64],"mainly":[66],"focuses":[67],"on":[68],"<inline-formula":[70,85,99,114,126,152,161,168,174,194,206,222,246,254,269,277],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[71,86,100,115,127,153,162,169,175,195,207,223,247,255,270,278],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[72,87,101,116,128,154,163,170,176,196,208,224,248,256,271,279],"notation=\"LaTeX\">$\\alpha$</tex-math></inline-formula>":[73,88,102,117,155,197,225,249,272],"-cross-migrativity":[74,89,198,226,273],"overlap":[76,91,104,110,124,142,149,166,189,204,216,228],"functions.":[77,105,143,217],"First,":[78],"we":[79,107,145,219],"introduce":[80],"concept":[82],"functions":[92,111,190,229,233,243,265],"show":[94],"some":[95],"vital":[96],"properties":[97],"-cross-migrative":[103,118,156,250],"Second,":[106],"study":[108],"that":[112,147,191,244,266],"are":[113,245],"with":[119,157,199,251,274],"respect":[120,158,200,252,275],"minimum":[123],"function":[125,150,167,205],"notation=\"LaTeX\">$O_M$</tex-math></inline-formula>":[129,257],"obtain":[131],"an":[132,148,184,259],"equivalent":[133,185,238,260],"characterization":[134,186,261],"them":[136],"ordinal":[139,213],"sum":[140,214],"Third,":[144],"prove":[146],"is":[151,178],"notation=\"LaTeX\">$p$</tex-math></inline-formula>":[164,177],"-product":[165],"notation=\"LaTeX\">$O_p$</tex-math></inline-formula>":[171],"only":[172],"if":[173],"equal":[179],"1":[181],"give":[183],"satisfy":[192,267],"1-product":[203],"notation=\"LaTeX\">$O_1$</tex-math></inline-formula>":[209,280],"also":[210],"Finally,":[218],"extend":[220],"0-overlap":[232,242,264],"status":[234],"get":[236],"two":[237],"characterizations":[239],",":[281],"respectively.":[282]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
