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A family of IOWA operators with reliability measurement under interval-valued group decision-making environment

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Listed:
  • Pingtao Yi

    (Northeastern University)

  • Qiankun Dong

    (Northeastern University)

  • Weiwei Li

    (Northeastern University)

Abstract

Aggregation operators play an essential role in the aggregation of various individual input arguments in group decision-making (GDM). In this paper, we have proposed a family of IOWA operators with reliability measurement to aggregate uncertain decision information represented by interval numbers in GDM problems. In particular, we introduce the reliability-induced uncertain OWA (R-IUOWA) operator and the clusters’ reliability-induced uncertain OWA (CR-IUOWA) operator. This type of operators uses the reliability measurement representing the opinion consensus of individuals as the associated order-inducing variable and considers the decision-makers’ preference in the calculation of the position weights. Thus, the aggregation results have a higher consensus level. The R-IUOWA and CR-IUOWA operators have three primary properties such as commutativity, idempotency and boundness. The generalized formulas and some special cases of the two operators are outlined. Finally, the proposed operators are applied to a GDM problem regarding the selection of an investment company. The validity of the two operators is illustrated by comparing the aggregation results with that of other operators.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:grdene:v:30:y:2021:i:3:d:10.1007_s10726-020-09720-z
    DOI: 10.1007/s10726-020-09720-z
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    References listed on IDEAS

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    1. José M. Merigó & Anna M. Gil-Lafuente & Li-Gang Zhou & Hua-You Chen, 2012. "Induced and Linguistic Generalized Aggregation Operators and Their Application in Linguistic Group Decision Making," Group Decision and Negotiation, Springer, vol. 21(4), pages 531-549, July.
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    3. Merigó, José M. & Casanovas, Montserrat & Yang, Jian-Bo, 2014. "Group decision making with expertons and uncertain generalized probabilistic weighted aggregation operators," European Journal of Operational Research, Elsevier, vol. 235(1), pages 215-224.
    4. José M. Merigó & Montserrat Casanovas, 2011. "The Uncertain Generalized Owa Operator And Its Application To Financial Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 211-230.
    5. Jianwei Gao & Huihui Liu, 2017. "Generalized Ordered Weighted Reference Dependent Utility Aggregation Operators and Their Applications to Group Decision-Making," Group Decision and Negotiation, Springer, vol. 26(6), pages 1173-1207, November.
    6. 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.
    7. Chiclana, F. & Herrera-Viedma, E. & Herrera, F. & Alonso, S., 2007. "Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 182(1), pages 383-399, October.
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