On Preferential sylow fuzzy subgroups

Abstract

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

Mathematics Subject Classication (2010): Primary: 20N25, 20D20; Secondary: 20D30,
03E72.

Key words: Fuzzy group, preferential equality, Sylow p-subgroups, Sylow fuzzy subgroups,
nite group.