{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T01:47:44Z","timestamp":1777945664399,"version":"3.51.4"},"reference-count":30,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Fuzzy Sets and Systems"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.fss.2026.109871","type":"journal-article","created":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T16:42:22Z","timestamp":1773938542000},"page":"109871","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Axiomatizations of fuzzy cores in NTU fuzzy games and coalition production economies"],"prefix":"10.1016","volume":"535","author":[{"given":"Jiuqiang","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rong","family":"Zou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingjun","family":"Luo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6173-7901","authenticated-orcid":false,"given":"Wenna","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Duan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.fss.2026.109871_bib0001","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1287\/moor.6.1.1","article-title":"Cooperative fuzzy games","volume":"6","author":"Aubin","year":"1981","journal-title":"Math. Oper. Res."},{"key":"10.1016\/j.fss.2026.109871_bib0002","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1090\/S0002-9947-1961-0127437-2","article-title":"The core of a cooperative game without sidepayments","volume":"98","author":"Aumann","year":"1961","journal-title":"Trans. Am. Math. Soc."},{"key":"10.1016\/j.fss.2026.109871_bib0003","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s00186-012-0417-2","article-title":"Fuzzy cores and fuzzy balancedness","volume":"77","author":"Gulick","year":"2013","journal-title":"Math. Method. Oper. Res."},{"key":"10.1016\/j.fss.2026.109871_bib0004","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/S0022-0531(03)00261-8","article-title":"A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game","volume":"116","author":"Predtetchinski","year":"2004","journal-title":"J. Econ. Theory"},{"key":"10.1016\/j.fss.2026.109871_bib0005","doi-asserted-by":"crossref","first-page":"50","DOI":"10.2307\/1909383","article-title":"The core of an N-person game","volume":"35","author":"Scarf","year":"1967","journal-title":"Econometrica"},{"key":"10.1016\/j.fss.2026.109871_bib0006","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1007\/s00182-007-0105-2","article-title":"On the non-emptiness of the fuzzy core","volume":"37","author":"Allouch","year":"2008","journal-title":"Int. J. Game Theory"},{"key":"10.1016\/j.fss.2026.109871_bib0007","doi-asserted-by":"crossref","first-page":"39","DOI":"10.2307\/1913732","article-title":"Markets with a continuum of traders","volume":"32","author":"Aumann","year":"1964","journal-title":"Econometrica"},{"key":"10.1016\/j.fss.2026.109871_bib0008","doi-asserted-by":"crossref","first-page":"429","DOI":"10.2307\/2296760","article-title":"The core of an economy with production","volume":"41","author":"Boehm","year":"1974","journal-title":"Rev. Econ. Stud."},{"key":"10.1016\/j.fss.2026.109871_bib0009","doi-asserted-by":"crossref","first-page":"235","DOI":"10.2307\/2525306","article-title":"A limit theorem on the core of an economy","volume":"4","author":"Debreu","year":"1963","journal-title":"Int. Econ. Rev. (Philadelphia)"},{"key":"10.1016\/j.fss.2026.109871_bib0010","doi-asserted-by":"crossref","first-page":"484","DOI":"10.1016\/0022-247X(89)90192-3","article-title":"On the non-emptiness of the core of a coalitional production economy without ordered preferences","volume":"141","author":"Florenzano","year":"1989","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.fss.2026.109871_bib0011","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/0022-247X(90)90262-E","article-title":"Fuzzy core, and equilibria of a production economy without ordered preferences","volume":"153","author":"Florenzano","year":"1990","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.fss.2026.109871_bib0012","doi-asserted-by":"crossref","first-page":"443","DOI":"10.2307\/2296771","article-title":"The core of an economy with a measure space of economic agents","volume":"35","author":"Hildenbrand","year":"1968","journal-title":"Rev. Econ. Stud."},{"key":"10.1016\/j.fss.2026.109871_bib0013","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1007\/s00199-004-0546-9","article-title":"The fuzzy core and the (\u03a0, \u03b2)-balanced core","volume":"26","author":"Predtetchinski","year":"2005","journal-title":"Econ. Theory"},{"key":"10.1016\/j.fss.2026.109871_bib0014","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1007\/s00199-002-0354-z","article-title":"Cores and walrasian equilibria when agents\u2019 characteristics are extremely dispersed","volume":"22","author":"Podczeck","year":"2003","journal-title":"Econ. Theory"},{"key":"10.1016\/j.fss.2026.109871_bib0015","series-title":"Mathematics Methods of Games and Economic Theory","author":"Aubin","year":"1979"},{"key":"10.1016\/j.fss.2026.109871_bib0016","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/PL00004093","article-title":"Equilibria in infinite-dimensional production economies with convexified coalitions","volume":"17","author":"Graziano","year":"2001","journal-title":"Econ. Theory"},{"key":"10.1016\/j.fss.2026.109871_bib0017","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.jmateco.2016.11.003","article-title":"Equivalence of the aubin bargaining set and the set of competitive qeuilibria in a finite coalition production economy","volume":"68","author":"Liu","year":"2017","journal-title":"J. Math. Econ."},{"key":"10.1016\/j.fss.2026.109871_bib0018","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/0304-4068(85)90020-5","article-title":"An axiomatization of the core of cooperative games without side payments","volume":"14","author":"Peleg","year":"1985","journal-title":"J. Math. Econ."},{"key":"10.1016\/j.fss.2026.109871_bib0019","doi-asserted-by":"crossref","DOI":"10.1515\/9781400881970-018","article-title":"A value for n-person games","author":"Shapley","year":"1953"},{"key":"10.1016\/j.fss.2026.109871_bib0020","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/BF01769258","article-title":"On the reduced game property and its converse","volume":"15","author":"Peleg","year":"1986","journal-title":"Int. J. Game Theory"},{"key":"10.1016\/j.fss.2026.109871_bib0021","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11238-012-9344-1","article-title":"An axiomatization of the kernel for TU games through reduced game monotonicity and reduced dominance","volume":"74","author":"Driessen","year":"2013","journal-title":"Theory Decis."},{"key":"10.1016\/j.fss.2026.109871_bib0022","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1287\/moor.14.3.448","article-title":"An axiomatization of the core of market games","volume":"14","author":"Peleg","year":"1989","journal-title":"Math. Oper. Res."},{"key":"10.1016\/j.fss.2026.109871_bib0023","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/j.jmateco.2012.12.001","article-title":"Representation of non-transferable utility games by coalition production economies","volume":"49","author":"Inoue","year":"2013","journal-title":"J. Math. Econom."},{"key":"10.1016\/j.fss.2026.109871_bib0024","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1007\/BF01210576","article-title":"On Kakutani\u2019s fixed point theorem, the K-K-M-S theorem and the core of a balanced game","volume":"1","author":"Shapley","year":"1991","journal-title":"Econ. Theory"},{"key":"10.1016\/j.fss.2026.109871_bib0025","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1007\/BF01215385","article-title":"A theorem on open coverings of a simplex and Scarf\u2019s core existence theorem through Brouwer\u2019s fixed point theorem","volume":"4","author":"Zhou","year":"1994","journal-title":"Econ. Theory"},{"key":"10.1016\/j.fss.2026.109871_bib0026","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/j.fss.2022.02.008","article-title":"Non-emptiness of the fuzzy core in a finite production economy with infinite-dimensional commodity space","volume":"447","author":"Liu","year":"2022","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2026.109871_bib0027","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/0304-4068(89)90017-7","article-title":"An equivalence theorem for a bargaining set","volume":"18","author":"Mas-Colell","year":"1989","journal-title":"J. Math. Econ."},{"key":"10.1016\/j.fss.2026.109871_bib0028","doi-asserted-by":"crossref","DOI":"10.1016\/j.fss.2023.108580","article-title":"Necessary and sufficient conditions for solutions of the ky fan minimax inequality and the non-emptiness of fuzzy cores in economies","volume":"467","author":"Liu","year":"2023","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2026.109871_bib0029","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/0304-4068(74)90004-4","article-title":"On games without side payments arising from a general class of markets","volume":"1","author":"Billera","year":"1974","journal-title":"J. Math. Econ."},{"key":"10.1016\/j.fss.2026.109871_bib0030","doi-asserted-by":"crossref","first-page":"2480","DOI":"10.1016\/j.fss.2007.03.009","article-title":"Fuzzy games: a characterization of the core","volume":"158","author":"Huang","year":"2007","journal-title":"Fuzzy Sets Syst."}],"container-title":["Fuzzy Sets and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011426001090?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011426001090?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T12:39:45Z","timestamp":1777725585000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165011426001090"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":30,"alternative-id":["S0165011426001090"],"URL":"https:\/\/doi.org\/10.1016\/j.fss.2026.109871","relation":{},"ISSN":["0165-0114"],"issn-type":[{"value":"0165-0114","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Axiomatizations of fuzzy cores in NTU fuzzy games and coalition production economies","name":"articletitle","label":"Article Title"},{"value":"Fuzzy Sets and Systems","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.fss.2026.109871","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"109871"}}