On anti-fuzzy subgroup

Abstract

In this paper, efforts have been taken to generalise the notion of anti-fuzzy subgroup. Proposed definition was supported by graphical comparison with our previous result and suitably constructed examples. Based on the introduced definition, we derive not only some results of anti-fuzzy subgroup but also we redefine lower level set and lower level subgroup, and derive some essential theorems to study some algebraic characteristics. Further, a modified notion of lower level subgroup is given.

Keywords

• fuzzy subgroup
• anti-fuzzy subgroup
• lower level set
• lower level subgroup