Comparing Hasse diagrams

The authors investigate the applicability of some relational strength measures when comparing and analyzing Hasse diagrams. The structures used were derived from a particular line of ongoing research that deals with human perception of an urban environment. Knowledge was elicited by allowing interviewees to relate bipolar constructs, containing both positive and negative poles, to tangible landmarks in the vicinity of their neighborhood. The triangular products of these fuzzified relations were used to derive, say, construct-construct relations from which Hasse diagrams are generated. These diagrams represent certain knowledge structures that the interviewee possesses. The mappings presented can be used to compute certain congruences between structures