ON THE FUZZY Γ1 - NON DERANGED PERMUTATION GROUP GΓp1
KAZEEM OLALEKAN AREMU
Department of Mathematics, Faculty of Science, Usmanu Danfodiyo University, Sokoto, P.O.Box 2346, Sokoto, Nigeria.
OJONUGWA EJIMA *
Department of Mathematics, Faculty of Science, Usmanu Danfodiyo University, Sokoto, P.O.Box 2346, Sokoto, Nigeria.
MUHAMMAD SIRAJO ABDULLAHI
Department of Mathematics, Faculty of Science, Usmanu Danfodiyo University, Sokoto, P.O.Box 2346, Sokoto, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we give a function f on -non deranged permutation group
(p ≥ 5 and p a prime) as a fuzzy subgroup and fuzzy subgroupoid. In verifying the fuzzy ideal of f we discover that it is a one sided fuzzy ideal (only right fuzzy ideal but not left) and the α - level cut of f coincides with
if α = 1/p .
Keywords: - non deranged permutation group, fuzzy set, fuzzy subgroup, fuzzy ideal