Abstract
The main aim of this article is to discuss the construction of the core of a transferable utility cooperative game, when possible coalitions of agents are vague—in this case expressed as I-fuzzy coalitions using I-fuzzy setting. In general, the theory of I-fuzzy sets (originally introduced as intuitionistic fuzzy sets) is considered to be an extension of fuzzy set theory, where the degree of non-membership denoting the non-belongingness to a set is explicitly specified along with the degree of membership of belongingness to the set. The indecisiveness part of I-fuzzy sets implies vague definition of the core, and the necessity of dividing definition of a core into two parts—into the possible and the essential core.
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Acknowledgments
This paper was supported by the Ministry of Education, Youth and Sports within the Institutional Support for Long-term Development of a Research Organization in 2016.
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Mielcová, E. (2016). I-Fuzzy Core for Cooperative Games with Vague Coalitions. In: Jezic, G., Chen-Burger, YH., Howlett, R., Jain, L. (eds) Agent and Multi-Agent Systems: Technology and Applications. Smart Innovation, Systems and Technologies, vol 58. Springer, Cham. https://doi.org/10.1007/978-3-319-39883-9_8
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DOI: https://doi.org/10.1007/978-3-319-39883-9_8
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