Affiliations: [a] College of Computer and Information Science, Fujian Agriculture and Forestry University, Fuzhou, China
| [b] School of Economics and Management, Fuzhou University, Fuzhou, China
| [c] Beijing Intelligent Logistics System Collaborative Innovation Center, Beijing Wuzi University, Beijing, China
Correspondence:
[*]
Corresponding author. Meiling Li, School of Economics and Management, Fuzhou University, Fuzhou 350108, China. Tel.: +86 18350116606; E-mail: limeiling012@163.com.
Abstract: Considering both cardinal characteristics and double powers, the anti-symmetric interval excess value is defined. The least square pre-nucleolus for interval cooperative games is presented by making a single-objective programming model. We obtain the analytic expression of least square pre-nucleolus using Lagrange multiplier method, and construct an effective quadratic programming model to derive the least square pre-nucleolus of incomplete interval cooperative games. In addition, the application of least square pre-nucleolus in land pollution control is provided to show the validity of the proposed solution concepts.
