The Properties of Fuzzy Tensor and Its Application in Multiple Attribute Group Decision Making

The properties of fuzzy tensor and the product of fuzzy tensor and fuzzy vector are studied in the paper. The concept of fuzzy tensor is defined through expanding the fuzzy matrix. The product of fuzzy tensor and fuzzy vector is proved to be a fuzzy linear transformation. The general form of the fuzzy synthetic evaluation model is established to solve multiple attribute group decision making problems. Finally, two numerical examples of multiple attribute group decision making are provided to demonstrate the feasibility and efficiency of the fuzzy synthetic evaluation.