Introduction

Abstract

This book aims to present, in a unified approach, a series of mathematical results concerning triangular norm-based measures and a class of cooperative games with fuzzy coalitions. Our approach intends to emphasize that triangular norm-based measures are powerful tools in exploring the coalitional behaviour in such games. They not only unify and simplify some technical aspects of the already classical axiomatic theory of Aumann-Shapley values, but also provide new perspectives and insights into these results. Moreover, this machinery allows us to obtain, in the game theoretical context, new and heuristically meaningful information, which has a significant impact on balancedness and equilibria analysis in a cooperative environment.