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In this paper, a new definition of distance of interval-valued fuzzy sets is presented. Four interval-valued fuzzy metric spaces respectively induced by four specific interval-valued implication operators are established. By discussing and comparing the structures of four specific interval-valued fuzzy metric spaces, it can be concluded that interval-valued fuzzy metric spaces induced by interval-valued Łukasiewicz implication and interval-valued Goguen implication respectively are suitable for interval-valued fuzzy reasoning.doi:10.12783/dtcse/aics2016/8190 fatcat:6bswbxpdjzatfehe7kbprrib6q