A Cloud TOPSIS Method for Multiple Criteria Decision Making with Interval Number

In order to ensure the accuracy of decision-making, need to be integrated the inevitable uncertainty information and fuzzy information into their decision-making process. In view of this, this paper proposed a Cloud TOPSIS method with the decision matrix contained the uncertainty and fuzziness information on the basis of the cloud drops and cloud drops distribution. In order to mine the data deeply, it converted the interval number model to the cloud model by establishing correspondence between the cloud drops and the endpoints. Next, the novel and key technique of the Cloud TOPSIS method including normalized the cloud decision matrix, compared the size of two cloud variables and calculated the distance measure. Finally, a numerical example is given, and the result was compared with the interval TOPSIS method result, demonstrating the feasibility and effectiveness of the proposed Cloud TOPSIS method. Keywords-TOPSIS; Cloud model; Multicriteria decision making; Distance measures

[1]  Hui Chen,et al.  Time-Series Prediction with Cloud Models in DMKD , 1999, PAKDD.

[2]  E. Stanley Lee,et al.  An extension of TOPSIS for group decision making , 2007, Math. Comput. Model..

[3]  Lachun Wang,et al.  A multidimension cloud model-based approach for water quality assessment. , 2016, Environmental research.

[4]  Hsu-Shih Shih,et al.  Incremental analysis for MCDM with an application to group TOPSIS , 2008, Eur. J. Oper. Res..

[5]  Mahmoud A. Abo-Sinna,et al.  Extensions of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure , 2008 .

[6]  Haijun Wang,et al.  Spatial Clustering Method Based on Cloud Model , 2007, Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007).

[7]  Abdollah Kavousi-Fard,et al.  A novel stochastic framework based on fuzzy cloud theory for modeling uncertainty in the micro-grids , 2016 .

[8]  Liu De-di.  Analysis on characteristics of spatial-temporal precipitation distribution based on cloud model , 2009 .

[9]  Zhang Jin-chun,et al.  Application of uncertainty reasoning based on cloud model in time series prediction , 2003 .

[10]  Deyi Li,et al.  Artificial Intelligence with Uncertainty , 2004, CIT.

[11]  Mahmoud A. Abo-Sinna,et al.  Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems , 2005, Appl. Math. Comput..

[12]  Nor Badrul Anuar,et al.  Cloud Service Selection Using Multicriteria Decision Analysis , 2014, TheScientificWorldJournal.

[13]  Bing Li,et al.  Qualitative rules mining and reasoning based on cloud model , 2010, The 2nd International Conference on Software Engineering and Data Mining.

[14]  Deyi Li,et al.  A new cognitive model: Cloud model , 2009, Int. J. Intell. Syst..

[15]  Jin-chun Zhang,et al.  Application of uncertainty reasoning based on cloud model in time series prediction. , 2003, Journal of Zhejiang University. Science.