RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS

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Hacettepe Journal of Mathematics and Statistics
Volume:34 Special Issue
RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS

RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS

Authors : ˙ismail U TİRYAKİ, Lawrence M BROWN

Pages : 69-89

View : 23 | Download : 13

Publication Date : 2005-01-01

Article Type : Research Paper

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.
Keywords : Hutton algebra, Hutton texture, Direlation, Difunction, Fuzzy relation, Isomorphism, Full embedding

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