Choice rules with fuzzy preferences: Some characterizations

Consider an agent with fuzzy preferences. This agent, however, has to make exact choices when faced with different feasible sets of alternatives. What rule does he follow in making such choices? This paper provides an axiomat ic characterization of a class of binary choice rules called the alpha sati sfying rule. When alpha = 1, this rule is the Orlovsky choice rule. On the other hand, for alpha less than or equal to 1/2, the rule coincides with th e M-alpha, rule that has been extensively analyzed in the literature on fuz zy preferences.