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Existence of an Aumann-Maschler fuzzy bargaining set and fuzzy kernels in TU fuzzy games

机译：TU模糊博弈中Aumann-Maschler模糊讨价还价集和模糊核的存在性。

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摘要

In this paper, we first give fuzzy extensions of the well-known solution concepts of kernel and prekernel for a transferable utility (TU) game and establish the existence of fuzzy kernels in TU fuzzy games which generalizes the corresponding result for classical TU games by Davis and Maschler [5]. We then prove that the fuzzy kernel is a subset of the fuzzy bargaining set in a TU fuzzy game, which gives the fuzzy counterpart of the corresponding fact for classical TU games by Davis and Maschler. As a consequence, we establish the existence of fuzzy Aumann-Maschler fuzzy bargaining sets for TU fuzzy games which generalizes the well-known existence theorem for bargaining sets by Aumann and Maschler [1] and Peleg [11]. (C) 2018 Elsevier B.V. All rights reserved.
机译：在本文中，我们首先对可转移的效用（TU）游戏的内核和预内核解决方案概念进行模糊扩展，并建立TU模糊游戏中模糊内核的存在，从而概括了Davis对经典TU游戏的相应结果。和马斯勒[5]。然后，我们证明了模糊核是TU模糊游戏中模糊议价集的子集，它给出了Davis和Maschler对经典TU游戏的对应事实的模糊对应物。结果，我们建立了TU模糊博弈的模糊Aumann-Maschler模糊讨价还价集的存在，它推广了Aumann和Maschler [1]和Peleg [11]的著名议价集存在定理。 （C）2018 Elsevier B.V.保留所有权利。

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  • 来源
    《Fuzzy sets and systems》 |2018年第15期|53-63|共11页
  • 作者

    Liu Jiuqiang; Liu Xiaodong; Huang Yan; Yang Wenbo;

  • 作者单位

    Xian Univ Finance & Econ, Sch Management Engn, Xian 710100, Shaanxi, Peoples R China;

    Xian Univ Finance & Econ, Sch Management Engn, Xian 710100, Shaanxi, Peoples R China;

    Xian Univ Finance & Econ, Sch Management Engn, Xian 710100, Shaanxi, Peoples R China;

    Fudan Univ, Sch Econ, 600 Guoquan Rd, Shanghai, Peoples R China;

  • 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

    Bargaining sets; Cores; Fuzzy kernels; Fuzzy prekernels; TU games; TU fuzzy games;

    机译：讨价还价集;核心;模糊内核;模糊内核;TU游戏;TU模糊游戏;

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