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Continuous Ordered Weighted Distance Measure and Its Application to Multiple Attribute Group Decision Making

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  • Ligang Zhou

    (Anhui University)

  • Huayou Chen

    (Anhui University)

  • Jinpei Liu

    (Tianjin University)

Abstract

We develop a new distance measure called the continuous ordered weighted distance (COWD) measure by using the continuous ordered weighted averaging (COWA) operator in the interval distance. We study some properties and different families of the COWD measure. We further generalize the COWD measure. The prominent characteristics of the COWD measure are that it is not only a generalization of some widely used distance measures and the continuous generalized OWA operator, but also it can deal with interval deviations in aggregation on interval arguments by using a controlled parameter. The desirable characteristics make the COWD measure be suitable to wide range situations, such as decision making, engineering and economics. In the end, we develop the new approach to group decision making in investment selection.

Suggested Citation

  • Ligang Zhou & Huayou Chen & Jinpei Liu, 2013. "Continuous Ordered Weighted Distance Measure and Its Application to Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(4), pages 739-758, July.
    • Handle: RePEc:spr:grdene:v:22:y:2013:i:4:d:10.1007_s10726-012-9289-3
    DOI: 10.1007/s10726-012-9289-3
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    References listed on IDEAS

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    1. Herrera, F. & Herrera-Viedma, E. & Chiclana, F., 2001. "Multiperson decision-making based on multiplicative preference relations," European Journal of Operational Research, Elsevier, vol. 129(2), pages 372-385, March.
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    Cited by:

    1. Peng Wu & Jinpei Liu & Ligang Zhou & Huayou Chen, 2022. "An Integrated Group Decision-Making Method with Hesitant Qualitative Information Based on DEA Cross-Efficiency and Priority Aggregation for Evaluating Factors Affecting a Resilient City," Group Decision and Negotiation, Springer, vol. 31(2), pages 293-316, April.
    2. Fujun Hou, 2015. "A Consensus Gap Indicator and Its Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 24(3), pages 415-428, May.
    3. Meiling Liu & Shouzhen Zeng & Tomas Baležentis & Dalia Streimikiene, 2019. "Picture Fuzzy Weighted Distance Measures and their Application to Investment Selection," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 21(52), pages 682-682, August.

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