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

Author

Listed:
  • Jinpei Liu

    (Tianjin University)

  • Sheng Lin

    (Tianjin University)

  • Huayou Chen

    (Anhui University)

  • Ligang Zhou

    (Anhui University)

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.

Suggested Citation

  • Jinpei Liu & Sheng Lin & Huayou Chen & Ligang Zhou, 2013. "The Continuous Quasi-OWA Operator and its Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(4), pages 715-738, July.
    • Handle: RePEc:spr:grdene:v:22:y:2013:i:4:d:10.1007_s10726-012-9288-4
    DOI: 10.1007/s10726-012-9288-4
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    Citations

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    Cited by:

    1. Jun Liu & Xianbin Wu & Shouzhen Zeng & Tiejun Pan, 2017. "Intuitionistic Linguistic Multiple Attribute Decision-Making with Induced Aggregation Operator and Its Application to Low Carbon Supplier Selection," IJERPH, MDPI, vol. 14(12), pages 1-12, November.
    2. Donghai Liu & Xiaohong Chen & Dan Peng, 2017. "Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making," Complexity, Hindawi, vol. 2017, pages 1-11, February.
    3. Rodrigo Gómez Monge & Evaristo Galeana Figueroa & Víctor G. Alfaro-García & José M. Merigó & Ronald R. Yager, 2021. "Variances and Logarithmic Aggregation Operators: Extended Tools for Decision-Making Processes," Mathematics, MDPI, vol. 9(16), pages 1-19, August.
    4. Lidan Pei & Feifei Jin & Zhiwei Ni & Huayou Chen & Zhifu Tao, 2017. "An automatic iterative decision-making method for intuitionistic fuzzy linguistic preference relations," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2779-2793, October.
    5. Pingtao Yi & Qiankun Dong & Weiwei Li, 2021. "A family of IOWA operators with reliability measurement under interval-valued group decision-making environment," Group Decision and Negotiation, Springer, vol. 30(3), pages 483-505, June.

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