Journal
SOFT COMPUTING
Volume 20, Issue 3, Pages 1021-1039Publisher
SPRINGER
DOI: 10.1007/s00500-014-1562-8
Keywords
Scaled prioritized aggregation operators; Uncertain prioritized aggregation operators; Decision making
Categories
Funding
- National Natural Science Foundation of China [71071002, 71225006, 71371011, 71301001]
- Higher School Specialized Research Fund for the Doctoral Program [20123401110001]
- Scientific Research Foundation of the Returned Overseas Chinese Scholars, Anhui Provincial Natural Science Foundation [1308085QG127]
- Provincial Natural Science Research Project of Anhui Colleges [KJ2012A026]
- Humanity and Social Science Youth Foundation of Ministry of Education [13YJC630092]
- Humanities and social science Research Project of Department of Education of Anhui Province [SK2013B041]
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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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