Abstract
The paper presents a solution to the problem of cost allocation for a communication network in which the connection values between two nodes are defined by a fuzzy utility function. The utility function can refer to both existing communication nodes and new node proposals. For the allocation mechanism, the authors used the fuzzy Shapley value built on a complete coalition of all paths connecting the root of the tree with all nodes of the given network.
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Notes
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A broader look at the value of Shapley in such situations can be found, for example, in the work of Gladysz and Mercik (2018).
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Acknowledgements
The research is partially supported by the Polish Ministry of Science and Higher Education for Faculty of Computer Science and Management, Wroclaw University of Science and Technology (No 0401/0193/18), by AGH University of Science and Technology funds (No. 16.16.200.396) and by WSB University in Wroclaw.
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Gładysz, B., Mercik, J., Stach, I. (2019). Fuzzy Shapley Value-Based Solution for Communication Network. In: Nguyen, N., Chbeir, R., Exposito, E., Aniorté, P., Trawiński, B. (eds) Computational Collective Intelligence. ICCCI 2019. Lecture Notes in Computer Science(), vol 11683. Springer, Cham. https://doi.org/10.1007/978-3-030-28377-3_44
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