Braguţă, GalinaCataranciuc, Sergiu2019-02-282019-02-282015BRĂGUȚĂ, Galina, CATARANCIUC, Sergiu (2015). The convexity in the complex of multi-ary relations. In: ROMAI Journal, Vol. 11 Issue 2, p. 51-62. 1841-55121841-5512https://msuir.usm.md/handle/123456789/1975https://rj.romai.ro/index.php?option=com_content&view=article&id=101&Itemid=66For a complex of multi-ary relations [12] it is defined the concept of (k,m)-chain which is a generalization of the concept of chain known from the graph theory. Using (k,m)- chains it is introduced the concept of the distance function and it is proved that this function generate a convexity in the complex of multi-ary relations. It is operating with the concepts of convexity and convex hull, axiomatically defined by F.Levi [29] and we describe the iterative procedure to construct a convex hull for a subset of elements from the complex of multi-ary relations. [ABSTRACT FROM AUTHOR]en(k,m)-chainconvex hullconvexitymetric spaceArticle