RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS

Yıl 2005, Cilt: 34 , 69 - 89, 01.01.2005

˙ismail U. Tiryaki Lawrence M. Brown

Öz

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.

Anahtar Kelimeler

Hutton algebra, Hutton texture, Direlation, Difunction, Fuzzy relation, Isomorphism, Full embedding

Kaynakça

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