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As the ESL value (satisfying efficiency, symmetry and linearity) is a generalized form of Shapley value for a cooperative game, the relative marginal contribution of player is taken into consideration. Following the ESL value, interaction between coalitions in a fuzzy TU-game is also need to consider. In this study, we extend the fuzzy Shapley value based on the fuzzy payoff value and propose the fuzzy ESL value (i.e., F-ESL value) for a class of fuzzy TU-games. As a generalized form of potential function, a weighted fuzzy potential function to introduced to characterize the F-ESL value. This F-ESL value has a certain degree of flexibility by considering the interaction between coalitions. The proposed fuzzy ESL value is generalized value for a class of fuzzy TU-games, including the Shapley value, the ESL value, and the fuzzy Shapley value, which has a wider range of applications. <\/jats:p>","DOI":"10.1142\/s0218488525500138","type":"journal-article","created":{"date-parts":[[2025,5,20]],"date-time":"2025-05-20T09:48:15Z","timestamp":1747734495000},"page":"299-327","source":"Crossref","is-referenced-by-count":0,"title":["The Fuzzy ESL Values for a Class of Cooperative Games with Fuzzy Payoffs"],"prefix":"10.1142","volume":"33","author":[{"given":"Yu","family":"Xiaohui","sequence":"first","affiliation":[{"name":"School of Logistics, Beijing Wuzi University, Institute for Carbon Peak and Neutrality, Beijing 101149, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wu","family":"You","sequence":"additional","affiliation":[{"name":"School of Logistics, Beijing Wuzi University Beijing 101149, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wang","family":"Chenglin","sequence":"additional","affiliation":[{"name":"School of Logistics, Beijing Wuzi University Beijing 101149, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,5,1]]},"reference":[{"key":"S0218488525500138BIB001","first-page":"307","author":"Shapley L. 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