Some Heronian mean operators with 2-tuple linguistic information and their application to multiple attribute group decision making

Abstract

With respect to multi-attribute group decision-making problems, in which attribute values take the form of 2-tuple linguistic information, a new decision making method that considers the interrelationships of attribute values is proposed. Firstly, some new aggregation operators of 2-tuple linguistic information based on Heronian mean are proposed, such as 2-tuple linguistic Heronian mean operator (2TLHM) and 2-tuple linguistic weighted Heronian mean operator (2TLWHB), and some desired properties of the proposed operators are studied. Then, a method based on the 2TLHM and 2TLWHB operators for multiple attribute group decision making is developed. In this approach, the interrelationships of attribute values are considered. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Keyword : 2-tuple linguistic information, Heronian mean operator, 2-tuple linguistic Heronian mean operator (2TLHM), 2-tuple linguistic weighted Heronian mean operator (2TLWHB), multiple attribute group decision making (MAGDM)