On preferential Sylow fuzzy subgroups

Abstract

In this paper, for a prime p, we propose some plausible definitions for the notion of Sylow fuzzy p-subgroup of a finite group. We derive a number of results for finite fuzzy groups using one of the proposed definitions. We also discuss some of the relationships between various proposed definitions for suitability, including the crisp case, with some examples.

Mathematics Subject Classification (2010):

• Primary: 20N25
• 20D20
• Secondary: 20D30
• 03E72

Key words:

• Fuzzy group
• preferential equality
• Sylow p-subgroups
• Sylow fuzzy subgroups
• finite group