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]

Indexed by：

SSCI EI Scopus SCIE

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.

Keyword：

cooperative game incomplete payoff interval excess value Least square pre-nucleolus

Community：

[ 1 ] [Lin, Jian]Fujian Agr & Forestry Univ, Coll Comp & Informat Sci, Fuzhou, Peoples R China
[ 2 ] [Li, Meiling]Fuzhou Univ, Sch Econ & Management, Fuzhou 350108, Peoples R China
[ 3 ] [Cui, Chunsheng]Beijing Wuzi Univ, Betjing Intelligent Logist Syst Collaborat Innova, Beijing, Peoples R China
[ 4 ] [Tian, Zhiyong]Beijing Wuzi Univ, Betjing Intelligent Logist Syst Collaborat Innova, Beijing, Peoples R China