Fuzzy geometric spaces associated to fuzzy hypermodules

Abstract

In this paper, we concentrate on fuzzy geometric spaces associated to fuzzy hypermodules and the feature of strongly transitive. First, we determine the fuzzy geometric space (Δ, FP_* (M)) whose Δ is a nonzero fuzzy subset of M and FP_*(M) is a nonempty family of fuzzy subsets of a fuzzy hypermodule of M, such that μ ≤ Δ, for all μ ∈ FP_* (M), whose elements we called fuzzy blocks that are the fuzzy hypersums of elements of M. In addition, we will present some important and interesting results in this respect. Ultimately, we will verify for a fuzzy hypermodule under the specific circumstances the fuzzy geometric space is strongly transitive and also, the relation θ is transitive.

Subject Classification: (2010):

• 03E72
• 20N25

Keywords:

• Fuzzy geometric spaces
• Fuzzy hypermodule
• Fuzzy hyperring
• Strongly transitive