Jayanthi, D2017-09-192017-09-1920142277-9655https://ir.avinuty.ac.in/handle/avu/3560In this paper we introduce the new class of homeomorphisms called generalized beta homeomorphisms in intuitionistic fuzzy topological spaces. We also introduce M-generalized beta homeomorphisms in intuitionistic fuzzy topological spaces and investigate some of the properties. We provide the relation between intuitionistic fuzzy generalized beta homeomorphisms and intuitionistic fuzzy M-generalized beta homeomorphisms. Also we prove that the set of all M-generalized beta homeomorphisms forms a group under the operation of composition of maps.