1Department of Mathematics, MASS College of Arts and Science, Kumbakonam, India. e-mail: rajeswari.mrt24@gmail.com
2Department of Mathematics, Government Arts College (Autonomous), Kumbakonam, India. e-mail: viji_rd07@yahoo.com
AMS Mathematics Subject Classification (2010): 03E72, 08A72, 20N25
The notion of S-α anti fuzzy cosets with representative xt and S-α anti fuzzy normal subsemi groups are introduced and their characterizations are obtained. It is also proved that the set of all S-α anti fuzzy cosets will form a semigroup under a suitable binary operation and its structural properties are determined. A necessary condition for an S-α anti fuzzy semigroup to be S-α anti fuzzy normal is also proved.
S-semigroup, anti-fuzzy group, α-anti fuzzy set, α-anti fuzzy group, S-anti fuzzy semigroup, S-α anti fuzzy semigroup
