An ANP-TOPSIS model for tourist destination choice problems under Temporal Neutrosophic environment

Abstract

Decision-making is a systematic process of solving real-world problems that provide an optimal solution after checking the achievable set of alternatives. As decision-making theory plays an increasingly important role in real life, there is more and more research on decision-making. All possible options are sorted through a multi-criteria decision-making system, allowing users to choose the suitable solution. In the face of many alternatives, the lack of appropriate skills and limited time has led to eventful human judgments. In this framework, the paper introduces the definition of a Temporal Complex neutrosophic set (TCNS) and the operations and properties of TCNS. Then, the TCNS-ANP-TOPSIS model based on TCNS is presented, which extends the ANP model to determine the weights for group multi-criteria and TOPSIS to rank alternatives collected from different time intervals. Further, to prove the feasibility and potentiality of the proposed model, a case study of choosing a tourist destination in Vietnam is described under the TCNS context. A comparative analysis with existing algorithms demonstrates the proposed model’s effectiveness, consistency, and availability.