Fusing Fuzzy Preferences in Contexts of Social Choice: Towards a Topological Structure

We discuss the difference between ordinal and cardinal axioms in the fuzzy Arrovian models. We expose how to add a topological structure in the fuzzy Arrovian models as well as why topological structure and continuity is a reasonable hypothesis for these models. Finally, we show how with a topological structure, a cardinal-like Arrovian model could be handled using differential equations and inequations.