Fuzzy Bigroup from another Viewpoint

  • L S Akinola Federal University, Oye-Ekiti, Ekiti State, Nigeria.


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.

Author Biography

L S Akinola, Federal University, Oye-Ekiti, Ekiti State, Nigeria.
Department of Mathematics, Faculty of Science,


Akinola, L.S., &Agboola, A.A. (2012). Permutable and mutually permutable fuzzy bigroup.,Proceedings of Jangjeon Mathematical Society13(1), 98-109.

Maggu,P.L. (1994). On introduction of bigroup concept with its application in industry. Pure Appl. Math Sci. 39, 171-173.

Meiyappan, D. &VasanthaKandasamy, W.B. (1998). Fuzzy symmetric subgroups and conjugate fuzzy subgroups of a group. J. Fuzzy Math., IFMI, 6, 905-913.

Murthuraj, R., &Rajinkannan, M., (2010). A study on Anti- fuzzy Sub- Bigroup. International Journal of Computer Application, 21, 31-35.

Rosenfeld, A. (1971). Fuzzy groups. J. Math. Anal.Appl. 35, 512-517.

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

Zadeh, L.A., (1965). Fuzzy sets. Inform. and control8, 338-353.