Fuzzy Bigroup from another Viewpoint

Authors

  • L. S. Akinola Department of Mathematics, Faculty of Science, Federal University, Oye-Ekiti, Ekiti State, Nigeria.
  • Y. T. Oyebo Department of Mathematics, Lagos State University, Ojoo-Lagos.lagos State, Nigeria.
  • E. O. Abolarin Department of Mathematics, Faculty of Science, Federal University, Oye-Ekiti, Ekiti State, Nigeria.
  • A. M. Udoye Department of Mathematics, Faculty of Science, Federal University, Oye-Ekiti, Ekiti State, Nigeria.
  • L. O. Salaudeen Department of Mathematics, Faculty of Science, Federal University, Oye-Ekiti, Ekiti State, Nigeria.

DOI:

https://doi.org/10.53704/fujnas.v5i2.101

Abstract

In group theory, given two groups G and H, it is possible to construct a new group from the Cartesian product of G and H, G × H. With this as a motivation, we replicate this concept in fuzzy group algebra. In this paper, we take a slight deviation from the familiar definition of fuzzy bigroup by looking at fuzzy bigroup from the idea of Cartesian product of groups. We define Cartesian fuzzy function on groups and give examples. We also define Cartesian fuzzy bigroup and study some of its basic properties.

Keywords: Bigroups, Cartesian fuzzy function, Fuzzy bigroups.

References

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Vasantha, W.B.K. (2003). Bialgebraic structures and Smarandachebialgebraic structures. American Research Press, Rehoboth, NM,.

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Published

2016-12-30

Issue

Vol. 5 No. 2 (2016): Fountain Journal of Natural and Applied Sciences

Section

Articles

License

Copyright (c) 2017 L S Akinola

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain copyright of their work, with first publication rights granted to Fountain Journal of Natural and Applied Sciences.  Articles in FUJNAS are published on the Creative Commons Attribution 4.0 International license (CC BY 4.0).

How to Cite

Fuzzy Bigroup from another Viewpoint. (2016). Fountain Journal of Natural and Applied Sciences, 5(2). https://doi.org/10.53704/fujnas.v5i2.101
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