The least square pre-nucleolus for interval cooperative games based on anti-symmetric interval excess values

Author:

Lin Jian1,Li Meiling2,Cui Chunsheng3,Tian Zhiyong3

Affiliation:

1. College of Computer and Information Science, Fujian Agriculture and Forestry University, Fuzhou, China

2. School of Economics and Management, Fuzhou University, Fuzhou, China

3. Beijing Intelligent Logistics System Collaborative Innovation Center, Beijing Wuzi University, Beijing, China

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.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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