Cross-entropy method for multiple attribute decision making under the triangular fuzzy neutrosophic sets

Cloud computing is emerging as an advanced stage of enterprise information technology in a highly competitive society, and is now in a phase of rapid development. Enterprises using cloud computing can reduce the cost of building infrastructure and reap huge benefits. Due to the convenience of cloud computing, more and more enterprises are inclined to use cloud services to build their business systems. However, there are many different cloud service providers in the market, and enterprises need scientific decision-making tools to determine which cloud service provider to choose. The cloud service provider selection is viewed as the multi-attribute decision-making (MADM). In this paper, the cross-entropy method under triangular fuzzy neutrosophic sets (TFNSs) is built based on the traditional cross-entropy method. Firstly, the TFNSs is introduced. Then, combine the traditional fuzzy cross-entropy method with TFNSs information, the triangular fuzzy neutrosophic number cross-entropy (TFNN-CE) method is established for MADM under TFNSs. Finally, a numerical example for cloud service provider selection has been given and some comparisons is used to illustrate advantages of cross-entropy method with TFNSs.