Similarity, Approximations and Vagueness

摘要: The relation of similarity is essential in understanding and developing frameworks for reasoning with vague approximate concepts. There a wide spectrum choice as to what properties we associate such choices determine the nature concepts defined terms these relations. Additionally, robotic systems naturally have deal due limitations sensor capabilities. Halpern [1] introduces use subjective objective states modal logic formalizing vagueness distinctions transitivity when an agent reasons context sensory other limitations. He also relates ideas solution Sorities paradoxes. In this paper, generalize apply idea tolerance spaces [2,3,4,5], means constructing from explicit way distinguish between agent's states. We show how some intuitions can be used formalize above-mentioned