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Scaled prioritized aggregation operators and their applications to decision making

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Abstract

As an extension of the prioritized aggregation operators by Yager (Int J Approx Reason 48:263–274, 2008), this paper uses the priority labels to express the prioritized relationship between criteria and presents some scaled prioritized aggregation operators, including the scaled prioritized score operator and the scaled prioritized averaging operator. Moreover, we consider the priority under uncertain environment and develop the uncertain prioritized aggregation operators, including the uncertain prioritized scoring operator and the uncertain prioritized averaging operator. We investigate the properties of these operators and build the models to derive the weights by maximizing square deviations from a possible range to distinguish the candidate alternatives mostly. Furthermore, approaches to multi-attribute decision making based on the proposed operators are given, which have benefits over the TOPSIS method (Behzadian, Expert Syst Appl 39:13051–13069, 2012) and the methods based on the OWA operator (Zhou and Chen, Fuzzy Sets Syst 168:18–34, 2011) when prioritized relationship between criteria is considered. Finally, examples are illustrated to show the feasibility and validity of the new approaches to the application of decision making.

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Acknowledgments

The authors are thankful to the anonymous reviewers and the editor for their valuable comments and constructive suggestions that have led to an improved version of this paper. The work was supported by National Natural Science Foundation of China (Nos. 71071002, 71225006, 71371011, 71301001), Higher School Specialized Research Fund for the Doctoral Program (No. 20123401110001), The Scientific Research Foundation of the Returned Overseas Chinese Scholars, Anhui Provincial Natural Science Foundation (No. 1308085QG127), Provincial Natural Science Research Project of Anhui Colleges (No. KJ2012A026), Humanity and Social Science Youth Foundation of Ministry of Education (No. 13YJC630092), Humanities and social science Research Project of Department of Education of Anhui Province (No. SK2013B041).

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Authors and Affiliations

  1. School of Mathematical Science, Anhui University, Hefei, 230601, Anhui, China

    Yingdong He, Huayou Chen & Ligang Zhou

  2. College of Management and Economics, Tianjin University, Tianjin, 300072, China

    Yingdong He, Zhen He & Guodong Wang

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  1. Yingdong He
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  2. Huayou Chen
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  3. Zhen He
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  4. Guodong Wang
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  5. Ligang Zhou
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Correspondence to Huayou Chen.

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Communicated by V. Loia.

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He, Y., Chen, H., He, Z. et al. Scaled prioritized aggregation operators and their applications to decision making. Soft Comput 20, 1021–1039 (2016). https://doi.org/10.1007/s00500-014-1562-8

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