Core of n-Person Transferable Utility Games with Intuitionistic Fuzzy Expectations
One of the main tasks in the theory of n-person transferable utility games is bound with looking for optimal solution concept. In general, a core is considered to be one of basic used solution concepts. The idea behind core derivation is straightforward; however, in reality uncertainty issues should be taken into consideration. Hence, the main aim of this article is to introduce formalization of the n-person transferable utility games in the case when expected utilities are intuitionistic fuzzy values. Moreover, this article discusses superadditivity issues of intuitionistic fuzzy extensions of cooperative games, and the construction of a core of such games. Calculations are demonstrated on numerical examples and compared with classical game theory results.
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 2015.
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