This paper presents an interactive procedure for solving a multiple attribute group decision making (MAGDM) problem with incomplete information. The main properties of the procedure are: (1) Each decision maker is asked to express his/her preference in relation to an additive value model with incomplete preference statements. (2) A rangetyped representation method for utility is used. The range...

This paper develops a new operator called the generalized ordered weighted power utility averaging (GOWPUA) operator, which first introduces the risk attitude of decision makers (DMs) in the aggregation process. We study its properties and families. To determine the GOWPUA operator weights, we put forward an orness measure of the GOWPUA operator and analyze its properties. Considering that diff...

We investigate multiple attribute group decision making (MAGDM) problems with arguments taking the form of interval-valued intuitionistic fuzzy numbers. In order to relieve influence of unfair arguments, a Gaussian distribution-based argument-dependent weighting method and a hybrid support-function-based argument-dependent weighting method are devised by, respectively, measuring support degrees...

To characterize the influence of decision makers’ psychological factors on the group decision process, this paper develops a new class of aggregation operators based on reference-dependent utility functions (RUs) in multi-attribute group decision analysis. We consider two types of RUs: S-shaped, representing decision makers who are risk-seeking for relative losses, and non-S-shaped, representin...

Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function and falsity membership function. In this paper, we study the multi-attribute group decision making (MAGDM) problems under neutrosophic environment with the incompletely known or completely unkn...

We investigate the multiple attribute group decision making (MAGDM) problems in which the attribute values take the form of 2-tuple linguistic information. Motivated by the ideal of dependent aggregation [Xu, Z. S. (2006). Dependent OWA operators. Lecture Notes in Artificial Intelligence, 3885, 172–178], in this paper, we develop some dependent 2-tuple linguistic aggregation operators: the depe...