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A Novel Algorithm Based on 2-Additive Measure and Shapley Value and Its Application in Land Pollution Remediation

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  • Jian Lin
  • Qiongling Wu
  • Riqing Chen
  • Zhiyong Tian

Abstract

In this article, a new aggregation operator called the Young–Shapley optimal weight (Y-SOW) operator is proposed to aggregate heterogeneous information in group decision-making. The Y-SOW operator combines the Shapley value with the Young inequality. Meanwhile, a series of special cases and main properties of the Y-SOW operator are studied. Furthermore, the dispersion maximization model of the Y-SOW operator is established to obtain the optimal 2-additive measure. In the Shapley value method of the cooperative game, the 2-additive measure not only simplifies the complexity of fuzzy measures but also solves the interaction between attributes. The Shapley value of the 2-additive measure is explored to the weight of the Y-SOW operator. Finally, the Y-SOW operator-based multiattribute group decision (YSMGAD) algorithm is proposed. The application of the YSMGAD algorithm for land pollution remediation is analyzed.

Suggested Citation

  • Jian Lin & Qiongling Wu & Riqing Chen & Zhiyong Tian, 2020. "A Novel Algorithm Based on 2-Additive Measure and Shapley Value and Its Application in Land Pollution Remediation," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-13, May.
    • Handle: RePEc:hin:jnlmpe:9323419
    DOI: 10.1155/2020/9323419
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    Cited by:

    1. Xinhai Lu & Yanwei Zhang & Chaoran Lin & Feng Wu, 2021. "Evolutionary Overview and Prediction of Themes in the Field of Land Degradation," Land, MDPI, vol. 10(3), pages 1-23, March.

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