Fuzzy Geometric Spaces and Transitivity of β-Relation on Fuzzy Hypergroups

R. Ameri (), T. Nozari () and M. Norouzi
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R. Ameri: School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, Iran
T. Nozari: ��Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran
M. Norouzi: ��Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 03, 703-713

Abstract: In this paper, the notion of a fuzzy geometric space is introduced. Some structures related to it are studied and connections of them are investigated. By using fuzzy blocks of a fuzzy geometric space, the concept of strongly transitivity of fuzzy geometric spaces is defined and studied. Finally, it is proved that the relation β is transitive on fuzzy hypergroups, by associating strongly transitivity fuzzy geometric spaces to fuzzy hypergroups.

Keywords: Fuzzy geometric space; cone; fuzzy polygonal; fundamental relation; fuzzy hypergroups (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S179300572250034X

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