The Continuous Quasi-OWA Operator and its Application to Group Decision Making

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

Group Decision and Negotiation, 2013, vol. 22, issue 4, No 6, 715-738

Abstract: Abstract In this paper, we extend the Quasi-OWA operator to the case in which the input argument is a continuous valued interval and present the continuous Quasi-OWA (C-QOWA) operator, which generalizes a wide range of continuous operators such as the continuous ordered weighted averaging (C-OWA) operator, the continuous generalized OWA operator (C-GOWA) and the continuous generalized ordered weighted logarithm aggregation (C-GOWLA) operator. Then an orness measure to reflect the or-like degree of the C-QOWA operator is proposed. Moreover, some desirable properties of the C-QOWA operator associated with its orness measure are investigated. In addition, we apply the C-QOWA operator to the aggregation of multiple interval arguments and obtain the weighted C-QOWA operator, the ordered weighted C-QOWA (OWC-QOWA) operator, the combined C-QOWA (CC-QOWA) operator. Finally, a CC-QOWA operator-based approach for multi-attribute group decision making problem is presented, and a numerical example shows that the developed approach is feasible and the results are credible.

Keywords: Group decision-making; Aggregation operator; Quasi-OWA; C-QOWA operator; CC-QOWA operator (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10726-012-9288-4

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