International Journal of Computer Applications |
Foundation of Computer Science (FCS), NY, USA |
Volume 29 - Number 3 |
Year of Publication: 2011 |
Authors: S.S. Thakur, Kush Bohre, Shailendra Singh Thakur |
10.5120/3546-4862 |
S.S. Thakur, Kush Bohre, Shailendra Singh Thakur . On a-continuous Intuitionistic Fuzzy Multifunctions. International Journal of Computer Applications. 29, 3 ( September 2011), 20-23. DOI=10.5120/3546-4862
In 1999, Ozbakir and Coker [23] introduced the concept intuitionistic fuzzy multifunctions and studied their lower and upper intuitionistic fuzzy semi continuity from a topological space to an intuitionistic fuzzy topological space. The present paper introduces the concept of α-continuous intuitionistic fuzzy multifunctions. An Intuitionistic fuzzy multifunction F from a topological spaces (X,T) to an intuitionistic fuzzy toplogical spaces (Y,Γ) is said to be Intuitionistic fuzzy α-continuous at a point if for any G ̃_1,G ̃_2∈IFO(Y) such that F(x_0)⊂G ̃_1 and F(x_0)∩G ̃_2 there exists U∈αO(X) containing x_0 such that F(u)⊂G ̃_1 and F(u)∩G ̃_2,∀ u∈U. F is called Intuitionistic fuzzy α-continuous if it has this property at each point of X. Several properties and characterizations of Intuitionistic fuzzy α-continuous