Document Type: Research Paper
Research Center, Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628 215, Tamil Nadu, India
Shiokota-cho Hinagu, Yatsushiro-shi kumamoto-ken, 869-5142 Japan
Avila and Molina  introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). This work is a further investigation of generalized weak structures due to Avila and Molina. Further we introduce the structures ro(g) and rc(g) and study the properties of the structures ro(g), rc(g), and also further properties of α(g),π(g),σ(g) and β(g) due to .