{"id":"https://openalex.org/W4408585841","doi":"https://doi.org/10.1016/j.fss.2026.109901","title":"Inclusion-exclusion integral neural network with monotone regularization terms","display_name":"Inclusion-exclusion integral neural network with monotone regularization terms","publication_year":2026,"publication_date":"2026-04-11","ids":{"openalex":"https://openalex.org/W4408585841","doi":"https://doi.org/10.1016/j.fss.2026.109901"},"language":"en","primary_location":{"id":"doi:10.1016/j.fss.2026.109901","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.fss.2026.109901","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.fss.2026.109901","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045729715","display_name":"Aoi Honda","orcid":"https://orcid.org/0000-0002-4485-1523"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aoi Honda","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Hina Anai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hina Anai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116687234","display_name":"Yoshihiro Fukushima","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yoshihiro Fukushima","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0001-4061-3691","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5103564043","display_name":"Simon James","orcid":"https://orcid.org/0000-0003-1150-0628"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Simon James","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1150-0628","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":{"value":2600,"currency":"USD","value_usd":2600},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00770708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"537","issue":null,"first_page":"109901","last_page":"109901"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.998199999332428,"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/T10320","display_name":"Neural Networks and Applications","score":0.998199999332428,"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/T12676","display_name":"Machine Learning and ELM","score":0.9674000144004822,"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/regularization","display_name":"Regularization (linguistics)","score":0.7397655248641968},{"id":"https://openalex.org/keywords/inclusion","display_name":"Inclusion (mineral)","score":0.5809369683265686},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5764784216880798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5647310614585876},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.44211167097091675},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37700921297073364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2803950309753418},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18599900603294373},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.12114730477333069},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05951857566833496},{"id":"https://openalex.org/keywords/social-science","display_name":"Social science","score":0.047531574964523315}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7397655248641968},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.5809369683265686},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5764784216880798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5647310614585876},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.44211167097091675},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37700921297073364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2803950309753418},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18599900603294373},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.12114730477333069},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05951857566833496},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.047531574964523315}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.fss.2026.109901","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.fss.2026.109901","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"},{"id":"doi:10.2139/ssrn.5182945","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5182945","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"pmh:oai:irdb.nii.ac.jp:01257:0007446928","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.14094/0100504958","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal article"},{"id":"doi:10.26187/deakin.32082195","is_oa":true,"landing_page_url":"https://doi.org/10.26187/deakin.32082195","pdf_url":null,"source":{"id":"https://openalex.org/S4306402457","display_name":"Deakin Research Online (Deakin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149704539","host_organization_name":"Deakin University","host_organization_lineage":["https://openalex.org/I149704539"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"doi:10.1016/j.fss.2026.109901","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.fss.2026.109901","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8344838497","display_name":"Theory and Implementation of Interpretable Nonlinear Integral Neural Networks","funder_award_id":"24K06868","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2038105248","https://openalex.org/W2040897920","https://openalex.org/W2080764889","https://openalex.org/W2112962039","https://openalex.org/W2135046866","https://openalex.org/W2527827804","https://openalex.org/W2913276252","https://openalex.org/W2978809758","https://openalex.org/W3186842446","https://openalex.org/W3194668998","https://openalex.org/W4234698323","https://openalex.org/W4386002907","https://openalex.org/W4391609842","https://openalex.org/W4402568599","https://openalex.org/W4416386405"],"related_works":["https://openalex.org/W3185553570","https://openalex.org/W2909053289","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W2155401483","https://openalex.org/W3131922696","https://openalex.org/W3045247719","https://openalex.org/W2963936214","https://openalex.org/W2085771669","https://openalex.org/W2383497899"],"abstract_inverted_index":{"While":[0],"deep":[1],"learning":[2],"has":[3],"achieved":[4],"significant":[5],"success":[6],"across":[7,100],"various":[8],"fields,":[9],"the":[10],"lack":[11],"of":[12],"transparency":[13],"in":[14,75],"decision-making":[15],"remains":[16],"a":[17,31,38,45,84],"major":[18],"challenge.":[19],"To":[20,79],"enhance":[21],"interpretability,":[22],"we":[23,82],"propose":[24],"an":[25],"Inclusion-Exclusion":[26],"Integral":[27],"Neural":[28],"Network":[29],"(IEINN),":[30],"novel":[32],"neural":[33],"network":[34],"model":[35,49,109],"based":[36],"on":[37],"non-linear":[39],"integral":[40],"defined":[41],"with":[42,94],"respect":[43],"to":[44,71,88],"non-additive":[46,95],"measure.":[47],"This":[48],"is":[50],"particularly":[51],"suitable":[52],"for":[53],"systems":[54],"where":[55],"monotonic":[56],"relationships":[57],"exist":[58],"between":[59],"inputs":[60],"and":[61,73,111],"outputs.":[62],"However,":[63],"training":[64],"without":[65],"enforcing":[66],"monotonicity":[67],"constraints":[68],"may":[69],"lead":[70],"overfitting":[72],"difficulties":[74],"interpreting":[76],"learned":[77,90],"parameters.":[78],"address":[80],"this,":[81],"introduce":[83],"monotonicity-preserving":[85],"regularization":[86],"term":[87],"ensure":[89],"parameters":[91],"remain":[92],"consistent":[93],"measure":[96],"theory.":[97],"Experimental":[98],"results":[99],"multiple":[101],"datasets":[102],"demonstrate":[103],"that":[104],"our":[105],"approach":[106],"enhances":[107],"both":[108],"interpretability":[110],"predictive":[112],"stability.":[113]},"counts_by_year":[],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}
