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Wan Fang
CNKI
CSCD
Wuhan University
Latest Article
Density Weighted Averaging Operator and Application
Time:2017-11-15  
ZHANG Danning1, YI Pingtao2, LI Weiwei2
1. School of Economics, Liaoning University, Shenyang 110136, Liaoning, China; 2. School of Business Administration, Northeastern University, Shenyang 110167, Liaoning, China
Abstract:
 Exploring structural characteristics implied in initialdecision making information is an important issue in the process of aggregation. In this paper we provide a new family of aggregation operator called density weighted averaging operator (abbreviated as DWA operator), which carries out the aggregation by classification. In this case, not only the hidden structural char-acteristics can be identified, some commonly known aggregation operators can also be incorporated into the function of the DWA operator. We further discuss the basic properties of this new operator, such as commutativity, idempotency, boundedness and monotonicity withcertain condition. Afterwards, two important issues related to the DWA operator are investigated, including the arguments partition and the determination of density weights. At last a numerical example regarding performance evaluation of employees is developed to illustrate the using of this new operator.
Key words:decision making; information aggregation; density weighted averaging operator; density weighting vector
CLC number:C 934
References:
[1]	Yager R R. On ordered weighted averaging aggregation operators in multicriteria decision making [J]. IEEE Transactions on Systems, Man, and Cybernetics, 1998, 18(1): 183- 190. 
[2]	Yage R R. Induced ordered weighted averaging operators[J]. IEEE Transactions on Systems, Man, and Cybernetics-Part B, 1999, 29(2): 141-150.
[3]	Merigo J, Gillafuente A. The induced generalized OWA operator [J]. Information Sciences, 2009, 179(6): 729-741.
[4]	Zhou L G, Chen H Y. Continuous generalized OWA opera-tor and its application to decision making [J]. Fuzzy Sets and Systems, 2011, 168(1): 18-34.
[5]	Merigó J M, Gil-Lafuente A M, Martorell O. Uncertain induced aggregation operators and its application in tourism management [J]. Expert Systems with Application, 2012, 39(1): 869-880.
[6]	Xu Z S. Dependent uncertain ordered weighted aggregation operators [J]. Information Fusion, 2008, 9(2): 310-316.
[7]	Xu Z S, Da Q L. The uncertain OWA operator [J]. Interna-tional Journal of Intelligent Systems, 2002, 17(6): 569-575.
[8]	Zhou L G, Chen H Y. A generalization of the power aggre-gation operators for linguistic environment and its applica-tion in group decision making [J]. Knowledge-Based Systems, 2012, 26: 216-224.
[9]	Xu Z S. A method based on linguistic aggregation operators for group decision making with linguistic preference rela-tions[J]. Information Sciences, 2004, 166(1): 19-30.
[10]	Casanovas M, Merigó J M. Fuzzy aggregation operators in decision making with Dempster-Shafer belief structure[J]. Expert Systems with Applications, 2012, 39(8): 7138-7149.
[11]	Wei G. Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making [J]. Applied Soft Computing, 2010, 10(2): 423-431.
[12]	Xu Z S. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment [J]. Information Sciences, 2004, 168(1-4): 171-184.
[13]	Goldberger J, Tassa T. A hierarchical clustering algorithm based on the Hungarian method [J]. Pattern Recognition Letters, 2008, 29(11): 1632-1638.
[14]	Murat E, Nazif C, Sadullah S. A new algorithm for initial cluster centers in k-means algorithm [J]. Pattern Recognition Letters, 2011, 32(14): 1701-1705.
[15]	Chiang M C, Tsai C W, Yang C S. A time-efficient pattern reduction algorithm for k-means clustering[J]. Information Sciences, 2011, 181(4): 716-731.
[16]	Hathaway R J, Bezdek J C, Davenport J W. On relational data versions of c-means algorithms [J]. Pattern Recognition Letters, 1996, 17(6): 607-610.
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