Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making

Based on the ILGDOWA and ILGDHWA operators, the approach to multiple attribute group decision making with intuitionistic linguistic information is proposed and an illustrative example is given to verify the developed approaches and to demonstrate their practicality and effectiveness.

Abstract

With respect to multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of intuitionistic linguistic numbers, the group decision making methods based on some generalized dependent aggregation operators are developed. Firstly, score function and accuracy function of intuitionistic linguistic numbers are introduced. Then, an intuitionistic linguistic generalized dependent ordered weighted average (ILGDOWA) operator and an intuitionistic linguistic generalized dependent hybrid weighted aggregation (ILGDHWA) operator are developed. Furthermore, some desirable properties of the ILGDOWA operator, such as commutativity, idempotency and monotonicity, etc. are studied. At the same time, some special cases of the generalized parameters in these operators are analyzed. Based on the ILGDOWA and ILGDHWA operators, the approach to multiple attribute group decision making with intuitionistic linguistic information is proposed. Finally, an illustrative example is given to verify the developed approaches and to demonstrate their practicality and effectiveness.