Existence and Stability of Fuzzy Slightly Altruistic Equilibrium for a Class of Generalized Multiobjective Fuzzy Games

We mainly study the existence, structural stability and robustness of fuzzy slightly altruistic equilibria for a class of generalized multiobjective fuzzy games which are expressed as \(\varpi \) $\varpi$ . Firstly, we introduce the concept of fuzzy slightly altruistic equilibrium and prove the existence of equilibrium for the \(\varpi \) $\varpi$ by Fan–Glicksberg fixed point theorem. Secondly, the connections between \(\varpi \) $\varpi$ and bounded rationality are discussed by an abstract rationality functions. Moreover, we construct the problem space of \(\varpi \) $\varpi$ which is represented by \(\varLambda \) $\Lambda$ and show that most \(\varpi \in \varLambda \) $\varpi \in \Lambda$ are structurally stable and robust to \(\varepsilon \) $\epsilon$ -equilibrium on the meaning of Baire category. These results are new and extend some existing results in recent literature.