{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:25:33Z","timestamp":1754155533409,"version":"3.41.2"},"reference-count":52,"publisher":"Emerald","issue":"8","license":[{"start":{"date-parts":[[2019,9,2]],"date-time":"2019-09-02T00:00:00Z","timestamp":1567382400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["K"],"published-print":{"date-parts":[[2019,9,2]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-subheading\">Purpose<\/jats:title><jats:p>This paper aims to solve the problem of public resource allocation among vulnerable groups by proposing a new method called uncertain<jats:italic>\u03b1<\/jats:italic>-coordination value based on uncertain cooperative game.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Design\/methodology\/approach<\/jats:title><jats:p>First, explicit forms of uncertain Shapley value with Chouqet integral form and uncertain centre-of-gravity of imputation-set (<jats:italic>CIS<\/jats:italic>) value are defined separately on the basis of uncertainty theory and cooperative game. Then, a convex combination of the two values above called the uncertain<jats:italic>\u03b1<\/jats:italic>-coordination value is used as the best solution. This study proves that the proposed methods meet the basic properties of cooperative game.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Findings<\/jats:title><jats:p>The uncertain<jats:italic>\u03b1<\/jats:italic>-coordination value is used to solve a public medical resource allocation problem in fuzzy coalitions and uncertain payoffs. Compared with other methods, the<jats:italic>\u03b1<\/jats:italic>-coordination value can solve such problem effectively because it balances the worries of vulnerable group\u2019s further development and group fairness.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-subheading\">Originality\/value<\/jats:title><jats:p>In this paper, an extension of classical cooperative game called uncertain cooperative game is proposed, in which players choose any level of participation in a game and relate uncertainty with the value of the game. A new function called uncertain<jats:italic>\u03b1<\/jats:italic>-Coordination value is proposed to allocate public resources amongst vulnerable groups in an uncertain environment, a topic that has not been explored yet. The definitions of uncertain Shapley value with Choquet integral form and uncertain<jats:italic>CIS<\/jats:italic>value are proposed separately to establish uncertain<jats:italic>\u03b1<\/jats:italic>-Coordination value.<\/jats:p><\/jats:sec>","DOI":"10.1108\/k-03-2018-0146","type":"journal-article","created":{"date-parts":[[2018,10,23]],"date-time":"2018-10-23T10:23:17Z","timestamp":1540290197000},"page":"1606-1625","source":"Crossref","is-referenced-by-count":3,"title":["Public resources allocation using an uncertain cooperative game among vulnerable 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