Abstract
In 2007, M Sengonul defined the notion of zweier sequence spaces Z and Z(0 )consisting of the sequences that are convergent and null convergent respectively. Lately motivated by the above two concepts, Vakeel A. Khan and Nazneen [1] proposed the zweier I - convergent sequence spaces. In 2013, Nabanita Konwar and Pradip Debnath [2] introduced the I-lambda - convergent sequences in intutionstic fuzzy n - normed space (IFnNS). In this paper, we introduce a new type of sequence spaces denoted as Z((mu, v)n)(I lambda), Z(0(mu, v)n)(I lambda), and Z(infinity(mu,v)n)(I lambda),which are zweier I - convergent sequences over IFnNS. In addition, we studied the algebraic and topological properties of these spaces and certain inclusion relations.