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Construction of Fuzzy Hyper BCI-Algebras Using Fuzzy Hypergroupoid
Journal article   Peer reviewed

Construction of Fuzzy Hyper BCI-Algebras Using Fuzzy Hypergroupoid

G. Muhiuddin, E. Mohammadzadeh, F. Mohammadzadeh and R. A. Borzooei
New mathematics and natural computation, pp.1-21
04/07/2022
DOI: https://doi.org/10.1142/S1793005723500229

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
In this paper, by considering the notion of fuzzy hyperoperation, we define the concept of fuzzy hyper BCK(BCI)-algebras as a generalization of BCK(BCI)-algebras and study related properties. Moreover, we introduce the notions of fuzzy hyper BCI-ideal and weak (strong) fuzzy hyper BCI-ideal, and then examine the relations among them. Finally, we investigate the relation between fuzzy hyper BCI-algebras with fuzzy hypersemigroup, fuzzy hypergroup and hyper BCI-algebras.

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