Composing fuzzy cardinal direction relations

Nowadays, direction relation research has become an important branch in spatial representation and reasoning area, and especially, the research considering fuzziness and uncertainty may become more and more important. In this paper, a solution is proposed for composing fuzzy direction relations based on fuzzy direction-relation matrix. Firstly, a formal definition and an algorithm are given for the Most operator. Then, a practical method is proposed for composing accurate direction relations. At last, based on composing accurate direction relations on every λ level, our fuzzy composing method is given. Our method is consistent with people´s intuition, and it is feasible to be used in the applications which need to compose fuzzy direction information.