ABSTRACT

The Banzhaf value, which determines the power of each agent in a cooperative game, has been used in the literature to analyze fuzzy cooperative situations. In this paper, we propose two Banzhaf values for games with fuzzy characteristic function. In one of them, the players' payoffs are fuzzy quantities. In the other one, the payoffs are real numbers. In each case, we provide an axiomatization with reasonable properties.

中文翻译：

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具有模糊特征函数的合作博弈的Banzhaf值

抽象的

Banzhaf值（用于确定合作博弈中每个代理的能力）已在文献中用于分析模糊的合作情况。在本文中，我们为具有模糊特征函数的游戏提出了两个Banzhaf值。其中之一，玩家的收益是模糊数量。另一方面，收益是实数。在每种情况下，我们都提供具有合理属性的公理化。