A new model of fuzzy topology: I-fuzzy topological polygroups

Article type: Research Article

Authors: Abbasizadeh, N. | Davvaz, B.^*;

Affiliations: Department of Mathematics, Yazd University, Yazd, Iran

Correspondence: [*] Corresponding author. B. Davvaz, Department of Mathematics, Yazd University, Yazd, Iran. E-mail: [email protected].

Abstract: This paper provides a new connection between algebraic hyperstructures and fuzzy sets. We present the concept of I-fuzzy topological polygroups and prove some properties. The concept of I-fuzzy topological polygroups is a generalization of the concept of I-fuzzy topological groups. By considering the relative fuzzy topology on fuzzy subpolygroups we prove some related properties.

Keywords: Polygroup, I-fuzzy topology, I-fuzzy quasi-coincident neighborhood system, I-fuzzy topological polygroups

DOI: 10.3233/JIFS-18833

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 2, pp. 1671-1682, 2019