Document Type : Research Paper


School of Sciences of Education, Democritus University of Thrace, 681 00 Alexandroupolis, Greece


In this paper, we study fuzzy substructures in connection with
Hv-structures. The original idea comes from geometry, especially from the
two dimensional Euclidean vector space. Using parameters, we obtain a large
number of hyperstructures of the group-like or ring-like types. We connect,
also, the mentioned hyperstructures with the theta-operations to obtain more
strict hyperstructures, as Hv-groups or Hv-rings (the dual ones).


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