@article{article_530851, title={RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={34}, pages={69–89}, year={2005}, author={Tiryaki, ˙ismail U. and Brown, Lawrence M.}, keywords={Hutton algebra,Hutton texture,Direlation,Difunction,Fuzzy relation,Isomorphism,Full embedding}, abstract={In this paper a theory of relations and corelations between the lattice of fuzzy subsets of a crisp set X and that of a crisp set Y is developed, based on the theory of relations and corelations between textures. In a series of examples it is shown that these notions generalize in a natural way the impotant concept of fuzzy relation from X to Y . Difunctions are also characterized and their relationship with known mappings between fuzzy sets is investigated.}, publisher={Hacettepe University}