INTUITIONISTIC FUZZY I-CONVERGENT DIFFERENCE SEQUENCE SPACES DEFINED BY COMPACT OPERATOR

Abstract

In this paper, we have introduced and studied the intuitionistic fuzzy I -convergent difference sequence spaces I((mu,upsilon))(T, delta ) and I0((mu,upsilon))(T, delta ) used by compact operator. Also, we have introduced a new concept, called closed ball in these spaces. With the help of these notions, we have establised a new topological space and investigated some topological properties in intuitionistic fuzzy I-convergent difference sequence spaces I((mu,upsilon))(T, delta ) and I0((mu,upsilon))(T,delta ) used by compact operator.