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

Author

Listed:
  • 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)

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.

Suggested Citation

  • R. Ameri & T. Nozari & M. Norouzi, 2022. "Fuzzy Geometric Spaces and Transitivity of β-Relation on Fuzzy Hypergroups," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 703-713, November.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:03:n:s179300572250034x
    DOI: 10.1142/S179300572250034X
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