Construction of Fuzzy Hyper BCI-Algebras Using Fuzzy Hypergroupoid

G. Muhiuddin (), E. Mohammadzadeh (), F. Mohammadzadeh and R. A. Borzooei ()
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G. Muhiuddin: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
E. Mohammadzadeh: Department of Mathematics, Faculty of Science, Payame Noor University, Tehran, Iran
F. Mohammadzadeh: Department of Mathematics, Faculty of Science, Payame Noor University, Tehran, Iran
R. A. Borzooei: Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 02, 557-577

Abstract: 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.

Keywords: Fuzzy hyperoperation; (fuzzy hyper) BCI(BCK)-algebra; fuzzy hyper BCI-ideal; fuzzy hyper(semi)group (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500229

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