Study on Evaluation of Technological SMEs’ Independent Innovation Capacity Based on the Interval Grey Uncertain Linguistic Variables

Abstract

In this paper, we investigate the multiple attributes group decision making (MAGDM) problems in which attribute values take the form of interval grey uncertain linguistic variables. Firstly, we develop the interval grey uncertain linguistic variables weighted geometric (IGULWG) operator, the interval grey uncertain linguistic variables ordered weighted geometric (IGULOWG) operator and the induced interval grey uncertain linguistic variables ordered weighted geometric (I-IGULOWG) operator and study some desirable properties of the I-IGULOWG operator. Furthermore, we apply the I-IGULOWG operator and the IGULWG operator to the group decision making with interval grey uncertain linguistic information. Finally, an illustrative example for evaluating the technological SMEs’ independent innovation capacity with interval grey uncertain linguistic information is given to verify the developed approach and to demonstrate its practicality and effectiveness.