Abstract: In this paper scheduling problems are solved in the Interval – valued Fuzzy and Interval – valued Intuitionistic Fuzzy Criteria. Generally, scheduling plays a major part in manufacturing and in service industries to schedule the jobs in order. Here scheduling jobs are done under different algorithm where the parameters are being defined under Fuzzy and Intuitionistic Interval -valued numbers. Numerical examples are illustrated to calculate Mean Flow Time and Total Elapsed Time and compared with Johnson’s algorithm.