A Method for Merging Cultural Logic Systems

摘要

This paper presents a merging approach to solve the logical conflicts in cross-cultural communication. We define each agent's logic system as a tuple of the language and a binary relation over the language, which can well reflect different inference patterns in different cultures. Then based on the distance measure, merging different logic systems of this kind is a two-step process: (ⅰ) all the logic systems are expanded to be based on the same language; and (ⅱ) the distance-based method is used to select a logic system, which is the nearest to the expanded logic systems. In this work, we define a kind of the Hamming distance to measure the distance between any two logic systems. Then based on the distance measure, we define our merging operator and we prove that the operator satisfies the properties of agreement, strong unanimity, groundedness and anonymity in social choice theory.