ALPHA GENERALIZED PRECLOSED SETS IN INTUITIONISTIC FUZZY TOP-OLOGICAL SPACES
JYOTI PANDEY BAJPAI 1, S. S. THAKUR 2 AND ALPA SINGH RAJPUT 3 1. Jabalpur Engineering College Jabalpur INDIA, jyotipbajpai@gmail.com
2. Jabalpur Engineering College Jabalpur INDIA, samajh singh@rediffmail.com
3. Vignan’s Foundation for Science,Technology and Research, INDIA, alpasinghrajput09@gmail.com
The concept of intuitionistic fuzzy set was introduced by Atanassov as a generalization of fuzzy sets. In 1997 Coker introduced the concept of intuitionistic fuzzy topological spac-es. In 2008, Thakur introduced the notion of intuitionistic fuzzy generalized closed set in intuitionistic fuzzy topological space. Several authors studied in various forms of intui-tionistic fuzzy g-closed set and related topological properties. The aim of this paper is to introduce the new class of intuitionistic fuzzy closed sets called intuitionistic fuzzy αgp closed sets in intuitionistic fuzzy topological space. The class of all intuitionistic fuzzy αgp- closed sets lies between the class of all intuitionistic fuzzy α-closed sets and class of all intuitionistic fuzzy gspr-closed sets. We also introduce the concepts of intuitionistic fuzzy αgp open sets, intuitionistic fuzzy αgp- continuous mappings in intuitionistic fuzzy topological spaces.
