Journal
FILOMAT
Volume 32, Issue 8, Pages 2793-2812Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL1808793W
Keywords
Multi-criteria decision-making; Multi-valued neutrosophic sets; Cloud service reliability assessment; Entropy; Cross-entropy
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Funding
- National Natural Science Foundation of China [71571193]
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Cloud service reliability assessment is a vital decision-making activity for companies and individuals. In this assessment, the evaluation information can be represented by multi-valued neutrosophic numbers (MVNNs). MVNNs are regarded as an integration of single-valued neutrosophic numbers (SVNNs) and hesitant fuzzy numbers (HFNs); therefore, considering the defects of entropy and cross-entropy measures for SVNNs and HFNs, we first define a framework of entropy measures and a family of cross-entropy measures for MVNNs in this paper. Second, a novel extended VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje) method based on entropy and cross-entropy measures is developed to address the decision-making problems when information about criteria weights is absolutely unknown. Finally, we apply the proposed method to evaluate cloud service reliability; also, a sensitivity analysis and a comparative analysis are made to interpret the practicality and e ff ectiveness of it. The results of analyses verify that the proposed method based on cross-entropy is much better than the methods using general distance measures.
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