Optimized Multiple-Attribute Decision-Making through Employing Probabilistic Hesitant Fuzzy Number ExpTODIM and EDAS Technique and Application to Performance Evaluation of Smart Tourism Cities

Abstract

At present, the society is in the process of rapid urbanization, and the core force to promote urban development is to vigorously develop urban economy. Urban tourism is an important part of urban economy, and there is a dialectical relationship between interdependence and promotion between urban tourism and urban economy. The innovative development of urban tourism is to follow the pace of the smart era and develop "smart tourism" by taking advantage of the development opportunities of "smart earth" and "smart city". "Smart tourism" refers to the application of cloud computing, high-performance information processing and other new generation information technology, intelligent data mining and other tourism development and industry management, which can explore the future development path of urban tourism from a new perspective. The performance evaluation of smart tourism cities is multiple-attributes decision-making (MADM). Currently, the Exponential TODIM(ExpTODIM) and EDAS was executed to put forward MADM. The probabilistic hesitant fuzzy sets (PHFSs) are executed for portraying fuzzy data during the performance evaluation of smart tourism cities. In this study, CRITIC approach is executed for weight values under PHFSs and probabilistic hesitant fuzzy number TODIM-EDAS (PHFN-ExpTODIM-EDAS) approach is put forward the MADM under PHFSs. At last, numerical example for performance evaluation of smart tourism cities is executed to verify the PHFN-ExpTODIM-EDAS. The major contributions are executed: (1) the ExpTODIM-EDAS was extended to PHFSs along with Entropy model; (2) CRITIC approach is executed for weight values under PHFSs. (3) the PHFN-ExpTODIM-EDAS is put forward MADM under PHFSs; (4) numerical example for performance evaluation of smart tourism cities and different comparative analysis is executed to verify the PHFN-ExpTODIM-EDAS model.