{"id":"https://openalex.org/W4402763114","doi":"https://doi.org/10.1007/s10479-024-06265-1","title":"Moore interval subtraction and interval solutions for TU-games","display_name":"Moore interval subtraction and interval solutions for TU-games","publication_year":2024,"publication_date":"2024-09-23","ids":{"openalex":"https://openalex.org/W4402763114","doi":"https://doi.org/10.1007/s10479-024-06265-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-024-06265-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-024-06265-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-024-06265-1.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10479-024-06265-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026962180","display_name":"S\u0131rma Zeynep Alparslan G\u00f6k","orcid":"https://orcid.org/0000-0001-9435-0527"},"institutions":[{"id":"https://openalex.org/I175124709","display_name":"S\u00fcleyman Demirel University","ror":"https://ror.org/04fjtte88","country_code":"TR","type":"education","lineage":["https://openalex.org/I175124709"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"S. Zeynep Alparslan G\u00f6k","raw_affiliation_strings":["Department of Mathematics, S\u00fcleyman Demirel University, 32260, Isparta, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, S\u00fcleyman Demirel University, 32260, Isparta, Turkey","institution_ids":["https://openalex.org/I175124709"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078000926","display_name":"Ren\u00e9 van den Brink","orcid":"https://orcid.org/0000-0001-8570-3706"},"institutions":[{"id":"https://openalex.org/I198488067","display_name":"Tinbergen Institute","ror":"https://ror.org/054xxtt73","country_code":"NL","type":"education","lineage":["https://openalex.org/I198488067"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ren\u00e9 van den Brink","raw_affiliation_strings":["Department of Economics and Tinbergen Institute, VU University Amsterdam, De Boelelaan 1105, 1081, HV Amsterdam, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-8570-3706","affiliations":[{"raw_affiliation_string":"Department of Economics and Tinbergen Institute, VU University Amsterdam, De Boelelaan 1105, 1081, HV Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I198488067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068402332","display_name":"Osman Palanc\u0131","orcid":"https://orcid.org/0000-0002-9921-7191"},"institutions":[{"id":"https://openalex.org/I175124709","display_name":"S\u00fcleyman Demirel University","ror":"https://ror.org/04fjtte88","country_code":"TR","type":"education","lineage":["https://openalex.org/I175124709"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Osman Palanc\u0131","raw_affiliation_strings":["Department of Business Administration, S\u00fcleyman Demirel University, 32260, Isparta, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Business Administration, S\u00fcleyman Demirel University, 32260, Isparta, Turkey","institution_ids":["https://openalex.org/I175124709"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078000926"],"corresponding_institution_ids":["https://openalex.org/I198488067"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":5.075,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.9546312,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"343","issue":"1","first_page":"293","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9983999729156494,"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/T10142","display_name":"Formal Methods in Verification","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/interval","display_name":"Interval (graph theory)","score":0.7672032117843628},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7241148948669434},{"id":"https://openalex.org/keywords/subtraction","display_name":"Subtraction","score":0.6416653394699097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43764862418174744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42285510897636414},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.4176263213157654},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.388860285282135},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3285856246948242},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2466719150543213},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22801059484481812},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2111196517944336},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08128368854522705}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7672032117843628},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7241148948669434},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.6416653394699097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43764862418174744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42285510897636414},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.4176263213157654},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.388860285282135},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3285856246948242},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2466719150543213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22801059484481812},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2111196517944336},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08128368854522705},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10479-024-06265-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-024-06265-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-024-06265-1.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:research.vu.nl:publications/a24bb80a-915a-43c3-a7dd-fb0a82579fbe","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/a24bb80a-915a-43c3-a7dd-fb0a82579fbe","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"G\u00f6k, S Z A, Brink, R V D & Palanc\u0131, O 2024, 'Moore interval subtraction and interval solutions for TU-games', Annals of Operations Research, vol. 343, no. 1, pp. 293-311. https://doi.org/10.1007/s10479-024-06265-1","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:spr:annopr:v:343:y:2024:i:1:d:10.1007_s10479-024-06265-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-024-06265-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:research.vu.nl:openaire/a24bb80a-915a-43c3-a7dd-fb0a82579fbe","is_oa":true,"landing_page_url":"https://hdl.handle.net/1871.1/a24bb80a-915a-43c3-a7dd-fb0a82579fbe","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"G\u00f6k, S Z A, Brink, R V D & Palanc\u0131, O 2024, 'Moore interval subtraction and interval solutions for TU-games', Annals of Operations Research, vol. 343, no. 1, pp. 293-311. https://doi.org/10.1007/s10479-024-06265-1","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s10479-024-06265-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-024-06265-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-024-06265-1.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402763114.pdf","grobid_xml":"https://content.openalex.org/works/W4402763114.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1505932656","https://openalex.org/W1580809199","https://openalex.org/W1977911709","https://openalex.org/W1992201685","https://openalex.org/W2026745519","https://openalex.org/W2028471472","https://openalex.org/W2086735750","https://openalex.org/W2102099143","https://openalex.org/W2114190008","https://openalex.org/W2134138723","https://openalex.org/W2561618607","https://openalex.org/W2805438908","https://openalex.org/W3122767195","https://openalex.org/W3125700129","https://openalex.org/W3135404427","https://openalex.org/W4205600224","https://openalex.org/W4242143449","https://openalex.org/W6634027779","https://openalex.org/W6637507417","https://openalex.org/W6649073061","https://openalex.org/W6650836617","https://openalex.org/W6722226382"],"related_works":["https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W109635080","https://openalex.org/W4213384165","https://openalex.org/W2085275338","https://openalex.org/W2377262226","https://openalex.org/W4285295794","https://openalex.org/W2098412892","https://openalex.org/W2531534085"],"abstract_inverted_index":{"Abstract":[0],"Standard":[1],"solutions":[2,29,86,177],"for":[3,30,80,146],"cooperative":[4],"transferable":[5],"utility":[6],"(TU-)":[7],"games":[8],"assign":[9,33],"to":[10,34,66,162,168,181],"every":[11,35,70],"player":[12,36,61,71],"in":[13,37,126],"a":[14,16,38,40,60,75],"TU-game":[15,166],"real":[17],"number":[18],"representing":[19],"the":[20,46,56,94,99,116,138,147],"player\u2019s":[21],"payoff.":[22,83],"In":[23],"this":[24],"paper,":[25],"we":[26,110,136,173],"introduce":[27],"interval":[28,42,68,85,113,134,170,176],"TU-games":[31],"which":[32],"game":[39],"payoff":[41,58,95],".":[43],"Even":[44],"when":[45,89,98],"worths":[47,100],"of":[48,59,115,128,141,149],"coalitions":[49,106],"are":[50,87,107,121],"known,":[51],"it":[52],"might":[53],"be":[54,103,160],"that":[55,101,120],"individual":[57,82],"is":[62,91],"not":[63],"known.":[64,108],"According":[65],"an":[67,169],"solution,":[69],"knows":[72],"at":[73],"least":[74],"lower-":[76],"and":[77],"upper":[78],"bound":[79],"its":[81],"Therefore,":[84],"useful":[88],"there":[90],"uncertainty":[92],"about":[93],"allocation":[96],"even":[97],"can":[102,159],"earned":[104],"by":[105,178],"Specifically,":[109],"consider":[111],"two":[112],"generalizations":[114],"famous":[117],"Shapley":[118],"value":[119],"based":[122],"on":[123],"marginal":[124,133],"contributions":[125],"terms":[127],"intervals.":[129],"To":[130],"determine":[131],"these":[132,157,175],"contributions,":[135],"apply":[137],"subtraction":[139],"operator":[140],"Moore.":[142],"We":[143,153],"provide":[144],"axiomatizations":[145,158],"class":[148],"totally":[150],"positive":[151],"TU-games.":[152],"also":[154],"show":[155],"how":[156],"used":[161],"extend":[163],"any":[164],"linear":[165],"solution":[167],"solution.":[171],"Finally,":[172],"illustrate":[174],"applying":[179],"them":[180],"sequencing":[182],"games.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
