{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:17Z","timestamp":1740134537545,"version":"3.37.3"},"reference-count":20,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71271029","11YJE630003"],"award-info":[{"award-number":["71271029","11YJE630003"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Education of Humanities and Social Science Research on Self-Fund Project, China","award":["71271029","11YJE630003"],"award-info":[{"award-number":["71271029","11YJE630003"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>A generalized form of a cooperative game with fuzzy coalition variables is proposed. The character function of the new game is described by the Concave integral, which allows players to assign their preferred expected values only to some coalitions. It is shown that the new game will degenerate into the Tsurumi fuzzy game when it is convex. The Shapley values of the proposed game have been investigated in detail and their simple calculation formula is given by a linear aggregation of the Shapley values on subdecompositions crisp coalitions.<\/jats:p>","DOI":"10.1155\/2014\/231508","type":"journal-article","created":{"date-parts":[[2014,1,27]],"date-time":"2014-01-27T16:10:43Z","timestamp":1390839043000},"page":"1-13","source":"Crossref","is-referenced-by-count":2,"title":["The Shapley Values on Fuzzy Coalition Games with Concave Integral Form"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7946-7089","authenticated-orcid":true,"given":"Jinhui","family":"Pang","sequence":"first","affiliation":[{"name":"Library, Beijing Institute of Technology, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiang","family":"Chen","sequence":"additional","affiliation":[{"name":"Patent Examination Cooperation Center of the Patent Office, State Intellectual Property Office of P.R.C, Beijing 100088, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shujin","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Information Management, The Central Institute for Correctional Police, Baoding 071000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","first-page":"307","volume":"28","year":"1953","journal-title":"Annals of Mathematics Studies"},{"key":"2","first-page":"317","volume":"19","year":"1965","journal-title":"Rutgers Law Review"},{"first-page":"123","volume-title":"Bounds for the core and the \u03c4-value","year":"1981","key":"3"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00136-X"},{"year":"2000","series-title":"The Handbooks of Fuzzy Stes Series","key":"6"},{"key":"7","first-page":"891","volume":"279","year":"1974","journal-title":"Comptes Rendus Hebdomadaires des S\u00e9ances de l'Acad\u00e9mie des Sciences A"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(78)90003-9"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00006-2"},{"year":"2001","key":"10"},{"issue":"3","key":"11","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1142\/S021848850100082X","volume":"9","year":"2001","journal-title":"International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(99)00471-3"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.07.007"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(80)90064-0"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2007.01.033"},{"volume":"2","volume-title":"Games in coalitional form","year":"1994","key":"16"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9779.2007.00345.x"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.2307\/2951685"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1006\/jeth.1994.1071"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1007\/s00199-007-0302-z"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/231508.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/231508.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/231508.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T02:45:25Z","timestamp":1498099525000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/231508\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":20,"alternative-id":["231508","231508"],"URL":"https:\/\/doi.org\/10.1155\/2014\/231508","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}