On another view of aggregation of fuzzy relations

The paper is devoted to a concept of aggregation of binary fuzzy relations. Consider two n-ary vectors, when we know the degrees to which corresponding components are in relation we can measure the degree to which vectors are in relation. Tasks with such background justify the necessity of aggregation of binary fuzzy relations and we contribute to the topic in this paper. First we recall the approach previously appeared in literature and then we introduce other approaches suitable for various practical applications. Later we study the property of T -transitivity since it indicates in some sense the consistency of aggregation.