An improved MULTIMOORA method for multi-valued neutrosophic multi-criteria group decision-making based on prospect theory

With the development of the economy and society, the scale of cities is increasing. At the same time, there are many subways being constructed in many cities. In the construction of subways, an appropriate scheme plays an important role in reducing cost and improving the satisfaction of the public. This paper attaches great importance to present a multi-criteria group decision-making (MCGDM) method to deal with selecting an appropriate construction scheme for subways. The process of selecting an appropriate construction scheme for subways is complex because it includes a great deal of fuzzy and uncertain information which can be presented by multi-valued neutrosophic numbers (MVNNs). In addition, in order to handle the interaction of inputs, an improved generalized multi-valued neutrosophic weighted Heronian mean (IGMVNWHM) operator is introduced. Subsequently, a new distance measure between two MVNNs is defined for deriving the objective criteria weights. Furthermore, considering the bounded rationality of decision-makers, we develop an improved multi-valued neutrosophic MULTIMOORA method based on prospect theory (IMVN-PT-MULTIMOORA). Finally, an application example of selecting an appropriate construction scheme for a subway and the influence of parameter are described. In addition, the proposed approach is compared with some existing methods to prove its validity and advantages.