Some algebraic properties of soft quasigroups

  • A. Oyem Department of Mathematics, University of Lagos, Akoka, Nigeria.
  • J. O. Olaleru Department of Mathematics, University of Lagos, Akoka, Nigeria.
  • T. G. Jaiyeola Department of Mathematics, Obafemi Awolowo University, Nigeria.
  • H. Akewe Department of Mathematics, University of Lagos, Akoka, Nigeria.
DOI: https://doi.org/10.6084/m9.figshare.13524392

Abstract

Soft set theory, instituted by Molodsov is a robust mathematical tool for dealing with uncertainties and problems that are questionably defined. Our aim in this paper is to broaden soft theory by studying some new algebraic operations (product and product divisions) on soft quasigroups. We define soft quasigroups and introduce different algebraic properties connected with them. It was shown that for soft quasigroups over medial quasigroups, the resulting soft sets based on product and product divisions are also soft quasigroups over medial quasigroups. With the new operations defined on soft quasigroups, it was shown that these new operations are distributive over restricted/extended union and intersection operations.

Published
2021-01-06
How to Cite
Oyem, A., Olaleru, J. O., Jaiyeola, T. G., & Akewe, H. (2021). Some algebraic properties of soft quasigroups. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 6(2), 834 - 846. https://doi.org/10.6084/m9.figshare.13524392
Issue
Vol 6 No 2 (2020)
Section
Articles

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