Research Article
On a-continuous Intuitionistic Fuzzy Multifunctions
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 29 - Issue 3 |
| Published: September 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
@article{ 10.5120/3546-4862,
author = { S.S. Thakur,Kush Bohre,Shailendra Singh Thakur },
title = { On a-continuous Intuitionistic Fuzzy Multifunctions },
journal = { International Journal of Computer Applications },
year = { 2011 },
volume = { 29 },
number = { 3 },
pages = { 20-23 },
doi = { 10.5120/3546-4862 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2011
%A S.S. Thakur
%A Kush Bohre
%A Shailendra Singh Thakur
%T On a-continuous Intuitionistic Fuzzy Multifunctions%T
%J International Journal of Computer Applications
%V 29
%N 3
%P 20-23
%R 10.5120/3546-4862
%I Foundation of Computer Science (FCS), NY, USA
Abstract
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
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