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Group Decision and Negotiation

, Volume 22, Issue 4, pp 715–738 | Cite as

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

  • Jinpei LiuEmail author
  • Sheng Lin
  • Huayou Chen
  • Ligang Zhou
Article

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 

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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • Jinpei Liu
    • 1
    Email author
  • Sheng Lin
    • 1
  • Huayou Chen
    • 2
  • Ligang Zhou
    • 2
  1. 1.Department of ManagementTianjin UniversityTianjinChina
  2. 2.School of Mathematical SciencesAnhui UniversityHefeiChina

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