Cores and Weber sets for fuzzy extensions of cooperative games

Sagara Nobusumi

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Cores and Weber sets for fuzzy extensions of cooperative games

机译：合作游戏模糊扩展的核心和Weber集

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摘要

This paper investigates fuzzy extensions of cooperative games and the coincidence of the solutions for fuzzy and crisp games. We show that an exact game has an exact fuzzy extension such that its fuzzy core coincides with the core. For games with empty cores, we exploit Lovasz extensions to establish the coincidence of Weber sets for fuzzy and crisp games. (C) 2014 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2015年第1期|102-114|共13页
作者
Sagara Nobusumi;
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作者单位

Hosei Univ, Fac Econ, 4342 Aihara, Machida, Tokyo 1940298, Japan;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Core; Weber set; Exact game; Superdifferential; Lovasz extension; Supermodularity; Convex games;

机译：核心;韦伯集;精确游戏;超微分;洛瓦兹扩展;超模块化;凸游戏;

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2. Aubin cores and bargaining sets for convex cooperative fuzzy games [J] . Wenbo Yang, Jiuqiang Liu, Xiaodong Liu International Journal of Game Theory . 2011,第3期

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3. On the core, nucleolus and bargaining sets of cooperative games with fuzzy payoffs [J] . Zhang Xia, Sun Hao, Xu Genjiu, Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2019,第6aPta2期

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4. The fuzzy cores for fuzzy cooperative games [C] . Xiaohui YU, Qiang ZHANG 2008 International Conference on Risk and Relianility Management(2008风险与可靠性管理国际会议)论文集 . 2008

机译：模糊合作博弈的模糊核
5. Extension of support vector machines for imprecise data using fuzzy set theory. [D] . Joshi, Atul Vamdev. 2008

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6. m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets [O] . Juanjuan Chen, Shenggang Li, Shengquan Ma, -1

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7. On the Cores of Cooperative Games and the Stability of the Weber Set [O] . Carles Rafels, Stef Tijs 1998

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8. Algebraic Framework for the Greedy Algorithm with Applications to the Core and211 Weber Set of Cooperative Games [R] . Faigle, U., Kern, W. 1998

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Cores and Weber sets for fuzzy extensions of cooperative games

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