FUZZY HV -SUBSTRUCTURES IN A TWO DIMENSIONAL EUCLIDEAN VECTOR SPACE

Document Type : Research Paper

Authors

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

Abstract

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).

Keywords


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