A new approach for multiple attribute decision making under linguistic environment

Based on the triangular norms, some new operational laws of linguistic variables are defined. They can remedy the defects of some existed operational laws. The desirable properties of the new operational laws are studied. Within the situation of the defined linguistic operational laws, an extended linguistic weighted arithmetic averaging (ELWAA) operator is proposed to aggregate the linguistic information. The desirable properties of the extended operator are investigated. A new approach based on the ELWAA operator is proposed. Finally, a numerical example is given to illustrate the new approach.