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

author：

Lin, Jian (Lin, Jian.) ^[1] | Li, Meiling (Li, Meiling.) ^[2] | Cui, Chunsheng (Cui, Chunsheng.) ^[3] | Tian, Zhiyong (Tian, Zhiyong.) ^[4]

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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.　©　2020　-　IOS　Press　and　the　authors.　All　rights　reserved.

Keyword：

Game theory Lagrange multipliers Least squares approximations Pollution control Quadratic programming

Community：

[ 1 ] [Lin, Jian]College of Computer and Information Science, Fujian Agriculture and Forestry University, Fuzhou, China
[ 2 ] [Li, Meiling]School of Economics and Management, Fuzhou University, Fuzhou, China
[ 3 ] [Cui, Chunsheng]Beijing Intelligent Logistics System Collaborative Innovation Center, Beijing Wuzi University, Beijing, China
[ 4 ] [Tian, Zhiyong]Beijing Intelligent Logistics System Collaborative Innovation Center, Beijing Wuzi University, Beijing, China

Reprint 's Address：

[li, meiling]school of economics and management, fuzhou university, fuzhou, china

Email：

limeiling012@163.com

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Source ：

Journal of Intelligent and Fuzzy Systems

ISSN： 1064-1246

Year： 2020

Issue： 3

Volume： 39

Page： 3561-3575

1 . 7 0 0

JCR@2023

ESI HC Threshold：149

CAS Journal Grade：4

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SCOPUS Cited Count：

ESI Highly Cited Papers on the List： 0 Unfold All

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30 Days PV： 0

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