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

被引：1

作者：

Lin, Jian ^{[1
,2
]}

Wu, Qiongling ^{[1
]}

Chen, Riqing ^{[2
]}

Tian, Zhiyong ^{[3
]}

机构：

[1] Fujian Agr & Forestry Univ, Digital Fujian Res Inst Big Data Agr & Forestry, Fuzhou 350002, Peoples R China

[2] Fujian Agr & Forestry Univ, Key Lab Smart Agr & Forestry, Fuzhou 350002, Peoples R China

[3] Beijing Wuzi Univ, Beijing Intelligent Logist Syst Collaborat Innova, Beijing 101149, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

GROUP DECISION-MAKING; AGGREGATION OPERATORS; FUZZY MEASURES; CHOQUET; INTEGRALS; TOPSIS;

D O I：

10.1155/2020/9323419

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：13

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