On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups

Walter C. Toapanta^1,*, Jorge Lenín A. Espinoza², Silvio M. Vivar³, Tania L. Vizcaíno Cárdenas²

¹Universidad Regional Autónoma de los Andes (UNIANDES), Ecuador

²Docente de la Universidad Técnica de Cotopaxi, Extensión Pujilí. Ecuador

Emails: ua.walterculque@uniandes.edu.ec; ui.jorgeacosta@uniandes.edu.ec; c.investigacionstd@uniandes.edu.ec; tania.vizcaino@utc.edu.ec

Abstract

In this paper, we have studied for the first time the concept of n-potent fuzzy groups and n-potent anti-fuzzy groups. Many related properties will be proved such as the intersection of n-potent fuzzy groups, the product of n-potent anti-fuzzy groups, and the factor groups formed by these structures.

Keywords: n-potent fuzzy group; n-potent anti-fuzzy group; intersection; factor fuzzy subgroup