Generalized Multiple Averaging Operators and their Applications to Group Decision Making

Ligang Zhou (), Huayou Chen () and Jinpei Liu ()
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Ligang Zhou: Anhui University
Huayou Chen: Anhui University
Jinpei Liu: Tianjin University

Group Decision and Negotiation, 2013, vol. 22, issue 2, No 9, 358 pages

Abstract: Abstract In this paper, we present a new operator called the generalized ordered weighted multiple averaging (GOWMA) operator based on a minimization problem with penalty function, which unifies the geometric mean and the generalized ordered weighted averaging operator with the generalized ordered weighted harmonic averaging operator in the same formulation. We study different properties and families of the GOWMA operator and develop a generalization of this operator called the generalized hybrid multiple averaging operator. To determine the GOWMA operator weights, we propose the generalized least squares method which does not follow a regular distribution. Finally, we give a numerical example of an investment selection to illustrate the application of the GOWMA operator to multiple attribute group decision making.

Keywords: Group decision making; Aggregation operator; OWA operator; Generalized multiple averaging operator (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10726-011-9267-1

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