Fuzzy geometric spaces associated to fuzzy hypersemigroups

Article type: Research Article

Authors: Ameri, R.^{a; *} | Asghari-Larimi, M.^b | Firouzkouhi, N.^b

Affiliations: [a] Department of Mathematics, University of Tehran, Tehran, Iran | [b] Department of Mathematics, Golestan University, Gorgan, Iran

Correspondence: [*] Corresponding author. R. Ameri, School of Mathematics, University of Tehran, Tehran, Iran. E-mail: rameri@ut.ac.ir.

Abstract: Let H be a hypersemigroup(hypergroup), we associate a fuzzy geometric spaces (Δ,B˜) to H, where Δ is a nonzero fuzzy subset of H and B˜ is a family of nonzero fuzzy subsets of H such that B˜⊆Δ . Also, we prove that this fuzzy geometric space is strongly transitive on hypergroups, while it is not strongly transitive on hypersemigroups.

Keywords: Fuzzy geometric spaces, fuzzy hypesemigroup, fuzzy hypergroup, strongly transitive, fuzzy geometric spaces

DOI: 10.3233/JIFS-162444

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 703-709, 2018