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Induced and Linguistic Generalized Aggregation Operators and Their Application in Linguistic Group Decision Making

Author

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  • José M. Merigó

    (University of Barcelona)

  • Anna M. Gil-Lafuente

    (University of Barcelona)

  • Li-Gang Zhou

    (Anhui University)

  • Hua-You Chen

    (Anhui University)

Abstract

We introduce a wide range of induced and linguistic generalized aggregation operators. First, we present the induced linguistic generalized ordered weighted averaging (ILGOWA) operator. It is a generalization of the OWA operator that uses linguistic variables, order inducing variables and generalized means in order to provide a more general formulation. One of its main results is that it includes a wide range of linguistic aggregation operators such as the induced linguistic OWA (ILOWA), the induced linguistic OWG (ILOWG) and the linguistic generalized OWA (LGOWA) operator. We further generalize the ILGOWA operator by using quasi-arithmetic means obtaining the induced linguistic quasi-arithmetic OWA (Quasi-ILOWA) operator and by using hybrid averages forming the induced linguistic generalized hybrid average (ILGHA) operator. We also present a further extension with Choquet integrals. We call it the induced linguistic generalized Choquet integral aggregation (ILGCIA). We end the paper with an application of the new approach in a linguistic group decision making problem.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:grdene:v:21:y:2012:i:4:d:10.1007_s10726-010-9225-3
    DOI: 10.1007/s10726-010-9225-3
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    References listed on IDEAS

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    1. Zeshui Xu, 2009. "An Interactive Approach to Multiple Attribute Group Decision Making with Multigranular Uncertain Linguistic Information," Group Decision and Negotiation, Springer, vol. 18(2), pages 119-145, March.
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    Cited by:

    1. Junling Zhang & Xiaowen Qi & Changyong Liang, 2018. "Tackling Complexity in Green Contractor Selection for Mega Infrastructure Projects: A Hesitant Fuzzy Linguistic MADM Approach with considering Group Attitudinal Character and Attributes’ Interdependen," Complexity, Hindawi, vol. 2018, pages 1-31, December.
    2. Xiaowen Qi & Junling Zhang & Changyong Liang, 2018. "Multiple Attributes Group Decision-Making Approaches Based on Interval-Valued Dual Hesitant Fuzzy Unbalanced Linguistic Set and Their Applications," Complexity, Hindawi, vol. 2018, pages 1-22, April.
    3. Byeong Seok Ahn, 2014. "Developing Group Ordered Weighted Averaging Operator Weights for Group Decision Support," Group Decision and Negotiation, Springer, vol. 23(5), pages 1127-1143, September.
    4. Ligang Zhou & Zhifu Tao & Huayou Chen & Jinpei Liu, 2014. "Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure," Group Decision and Negotiation, Springer, vol. 23(4), pages 879-900, July.
    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.
    6. Mi Jung Son & Jin Han Park & Ka Hyun Ko, 2019. "Some Hesitant Fuzzy Hamacher Power-Aggregation Operators for Multiple-Attribute Decision-Making," Mathematics, MDPI, vol. 7(7), pages 1-33, July.
    7. Hui-Chin Tang & Shen-Tai Yang, 2018. "Optimizing Three-Dimensional Constrained Ordered Weighted Averaging Aggregation Problem with Bounded Variables," Mathematics, MDPI, vol. 6(9), pages 1-16, September.

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