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Article type: Research Article
Authors: Lin, Jiana | Li, Meilingb; * | Cui, Chunshengc | Tian, Zhiyongc
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: [email protected].
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.
Keywords: Least square pre-nucleolus, interval excess value, cooperative game, incomplete payoff
DOI: 10.3233/JIFS-191882
Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3561-3575, 2020
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