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

Abstract EN

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.