A New Notion of Maximality for Fuzzy Preference Spatial Models
This paper explores a new method of applying fuzzy mathematics to spatial models of social choice theory. Given a set of alternatives, the assumption that an individual has a single-peaked profile means that he has a "unique most preferred alternative", which especially in a policy space is called an ideal point (Austen-Smith & Banks 93). Certain fuzzy approaches suggest that we should not ask which alternative is the player's ideal point, but rather to what degree each alternative is ideal. Thus the preferences of an individual are represented by the assignment of a fuzzy number to each alternative.