Generalized odd intuitionistic fuzzy number with value index and ambiguity index

Intuitionistic Fuzzy sets are used to solve problems with state of uncertainty due to many uncontrollable factors. Intuitionistic fuzzy sets are extension of fuzzy sets where they have a non-membership function along with membership function. The primary purpose is to generalize Odd IFN with their MFn and NMFn. The generalized value and generalised ambiguity definitions with alpha and beta cuts are defined. Generalized odd IFN which are defined are justified by evaluating a hendecagonal IFN problem based transportation.