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@inproceedings{62081, author = {Bartl, David}, address = {Budapest}, booktitle = {VOCAL 2022. 9th VOCAL Optimization Conference: Advanced Algorithms. Budapest, Hungary, May 25-27, 2022. Short Papers}, keywords = {Cooperative fuzzy TU-game; Core; Balanced game; Bondareva-Shapley theorem}, howpublished = {elektronická verze "online"}, language = {eng}, location = {Budapest}, isbn = {978-615-01-5987-4}, pages = {11-16}, publisher = {Hungarian Operations Research Society}, title = {On the Non-Emptiness of the Core of a Cooperative Fuzzy Game}, url = {https://www.researchgate.net/publication/362946080_On_the_Non-Emptiness_of_the_Core_of_a_Cooperative_Fuzzy_Game}, year = {2022} }
TY - JOUR ID - 62081 AU - Bartl, David PY - 2022 TI - On the Non-Emptiness of the Core of a Cooperative Fuzzy Game PB - Hungarian Operations Research Society CY - Budapest SN - 9786150159874 KW - Cooperative fuzzy TU-game KW - Core KW - Balanced game KW - Bondareva-Shapley theorem UR - https://www.researchgate.net/publication/362946080_On_the_Non-Emptiness_of_the_Core_of_a_Cooperative_Fuzzy_Game N2 - We introduce the concept of a fuzzy coalition structure on a finite set of players. Then, we propose a new model of a cooperative fuzzy game with transferable utility: an existing coalition is assumed to endeavour in a branch of industry, and a deviation of a new coalition from the coalition structure is seen as an opportunity of the coalition. Based on these premisses, we introduce the concept of the core of the cooperative fuzzy TU-game with respect to a general fuzzy coalition structure. Finally, we define the concept of balancedness and formulate a generalization of the Bondareva-Shapley Theorem. ER -
BARTL, David. On the Non-Emptiness of the Core of a Cooperative Fuzzy Game. In \textit{VOCAL 2022. 9th VOCAL Optimization Conference: Advanced Algorithms. Budapest, Hungary, May 25-27, 2022. Short Papers}. Budapest: Hungarian Operations Research Society. s.~11-16. ISBN~978-615-01-5987-4. 2022.
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