Fuzzy geometric spaces associated to fuzzy hyperrings

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. M. Asghari-Larimi, Department of Mathematics, Golestan University, Gorgan, Iran. Tel: +989111292 550; E-mail: asghari2004@yahoo.com.

Abstract:  For given two families B˜R,B˜C of fuzzy subsets of a fuzzy hyperring R, we obtain some sufficient conditions such that two fuzzy geometric spaces (Δ,B˜R),(Δ,B˜C) are strongly transitive and Δ be a nonzero fuzzy subset of R . Moreover, we show that the relation α and Γ on a fuzzy hyperfield R are transitive and obtain some related basic results.

Keywords: Fuzzy geometric spaces, fuzzy hyperring, fuzzy hyperfield, strongly transitive.

DOI: 10.3233/JIFS-181999

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2625-2630, 2019