Construction of (n-Fold) EQ-Algebras by Using Fuzzy n-Fold Filters

B. Ganji Saffar (), G. Muhiuddin, M. Aaly Kologani () and R. A. Borzooei ()
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B. Ganji Saffar: Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
G. Muhiuddin: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
M. Aaly Kologani: Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
R. A. Borzooei: Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 03, 827-851

Abstract: In this paper, the concept of fuzzy n-fold (positive implicative, implicative, fantastic) filters in EQ-algebras is defined and several results and relation among them are investigated. Then n-fold (implicative) positive implicative EQ-algebras are constructed by using n-fold fuzzy positive (implicative) filters and suitable congruence relations on EQ-algebras.

Keywords: (n-fold) EQ-algebra; (fuzzy) n-fold implicative (positive implicative; fantastic) filter (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S179300572150040X

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