ABSTRACT
In this chapter, we introduce and study intuitionistic fuzzy generalized Lucas ideal convergent sequence spaces defined by lacunary sequence and Orlicz function. Further, we discuss some algebraic and topological properties of these spaces. In the last section, we study generalized Lucas statistical convergence and generalized Lucas statistical Cauchy sequences with respect to an intuitionistic fuzzy normed space. Finally, we discuss generalized Lucas statistical completeness with respect to an intuitionistic fuzzy normed space (IFNS).
