Whenever inference for variance components is required, the choice between one-sided and two-sided tests is crucial. This choice is usually driven by whether or not negative variance components are permitted. For two-sided tests, classical inferential procedures can be followed, based on likelihood ratios, score statistics, or Wald statistics. For one-sided tests, however, one-sided test statis...

Abstract Zadeh introduced fuzzy sets to study imprecision in real life after which many generalizations have been developed literature. Fuzzy numbers is the major research area of because its needfulness for modeling qualitative and imprecise continuous transitions. Most time, data involved multi-criteria decision making (MCDM) will be form due deforming criteria. Different methods defining tot...