A simplified method of interval-valued solidarity values for a special class of interval-valued cooperative games

The aim of this paper is to extend the concept of the solidarity value to interval-valued (IV) cooperative games and develop a fast and simplified method for computing the IV solidarity values for a special class of IV cooperative games under some weaker conditions. In the method, we find a size (or coalition) monotonicity-like condition so that we can compute the IV solidarity values of a special class of IV cooperative games via determining their lower and upper bounds by utilizing the lower and upper bounds of the IV coalitions' values, respectively. In addition, some important and useful properties of IV solidarity values are discussed and the feasibility and applicability of the method proposed in this paper are verified with numerical examples as well as comparison analysis with existing methods is conducted.