MB -tensors and MB0MB0-tensors

The class of MB  - (MB0MB0-)tensors, which is a generation of B  - (B0B0-)tensors and quasi-double B  - (B0B0-)tensors, is proposed. And we prove that an even order symmetric MB  - (MB0MB0-)tensor is positive (semi-)definite. By giving some conditions to determine MB  - (MB0MB0-)tensors, some checkable sufficient conditions for the positive (semi-)definiteness of tensors are given.