1Department of Mathematics, Sri Balamurugan Arts and Science College, Sathappadi, Salem-636451, Tamil Nadu, India. E-mail: dhavaseelan.r@gmail.com
2Department of Mathematics, Sri Sarada College for Women, Salem -16, Tamil Nadu, India.
In this paper the concept of generalized intuitionistic fuzzy continuous function, strongly generalized intuitionistic fuzzy continuous function and perfectly generalized intuitionistic fuzzy continuous functions are studied. The concepts of generalized intuitionistic fuzzy connected spaces, generalized intuitionistic fuzzy compact spaces and generalized intuitionistic fuzzy extremally disconnected spaces are established. Some interesting properties are investigated besides giving some examples.
AMS Subject Classification: 54A40, 03E72. Keywords: Generalized intuitionistic fuzzy closed sets, Generalized intuitionistic fuzzy continuity, strongly generalized intuitionistic fuzzy continuity, intuitionistic fuzzy generalized connected space, intuitionistic fuzzy generalized compact space and generalized intuitionistic fuzzy extremally disconnected space.
