Understanding relations

This paper deals with connections between hypergroupoids and n-ary relations. First we prove that the study of the reduced hypergroupoids associated with n-ary relations can be linked to the simpler case of binary relations. On the basis of the ...

Based on formal relationships in Pansystems, this paper discusses the notion of indistinguishability relations among some order pairs in a binary relation and introduces rough relations. A rough relation is a generalization of a rough set from a new ...

For a reciprocal relation Q on a set of alternatives A, two transitivity frameworks which generalize both T-transitivity and stochastic transitivity are compared: the framework of cycle-transitivity, introduced by the present authors (Soc. Choice Welf., ...