A new decision approach to the sustainable transport investment selection based on the generalized entropy and knowledge measure under an interval-valued Pythagorean fuzzy environment

Finding the most suitable transport project is one of the most important tasks of transport planning. This task becomes much more complicated as sustainable criteria get involved. In this paper, a new method of multi-criteria group decision-making with an unknown attribute and expert weights is proposed to address the sustainable transport investment selection problem. To make the method more powerful in dealing with uncertain elements, an Interval-Valued Pythagorean Fuzzy (IVPF) set is used as a useful tool to handle uncertainty. First, a generalized entropy measure under an IVPF environment is introduced, which enables the method to determine the fuzziness of the attribute values, expressed by Interval-Valued Pythagorean Fuzzy Numbers (IVPFNs). To determine the fuzziness of IVPFNs with identical membership and non-membership degrees, a generalized knowledge measure of IVPFNs is also introduced. Based on this measure and considering the deviation among attribute assessments, a new optimization model is presented to obtain unknown attribute weights. In addition, based on the extension of the VIKOR method, a novel algorithm is introduced to determine the unknown expert weights. Finally, to prove the eciency of the proposed methods, a real case study is considered.