Fuzzy clan games and bi-monotonic allocation rules

In this paper the class of fuzzy clan games is introduced. The cores of such games have an interesting shape which inspires to define a class of compensation-sharing rules that are additive and stable on the cone of fuzzy clan games. Further, the notion of bimonotonic participation allocation scheme (bi-pamas) is introduced and it turns out that each core element of a fuzzy clan game is extendable to a bi-pamas.