Research on generalized P-cores for cooperative fuzzy games

Cooperative fuzzy game theory is a growing field in mathematics, economics, and computer science. To resolve the application deficiency of original P-cores for cooperative fuzzy game in distribution theory, a scheme of redistribution is presented by keeping some of the gains of the cooperative fuzzy game and distributing only part of the total value of a cooperative fuzzy game. We extend the concepts of P-cores, P-stable sets to more general ones which we call generalized P-cores, generalized P-stable sets and so on, in order to provide more rational distribution schemes and meet extensive demand of P-cores for cooperative fuzzy game. We study their properties and interrelations, the value of generalized P-cores for cooperative fuzzy game in practice and academic study is demonstrated by theorem.