Connection Among Some Characterizations of Complete Fuzzy Preorders

S. Díaz, Davide Martinetti, Ignacio Montes, S. Montes
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引用次数: 2

Abstract

The concept of (classical) complete preorder can be characterized in several ways. In previous works we have studied whether complete fuzzy preorders can be characterized by the same properties as in the crisp case. We have proven that this is not usually the case. We have studied five possible characterizations and we have proven that only one still characterizes a fuzzy preorder. In this work we study those properties for additive fuzzy preference structures without incomparability. Despite they do not characterize complete fuzzy preorders, they can be related among them. In this contribution we show their connection when the preference structure does not admit incomparable alternatives.
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完全模糊预定数若干表征之间的联系
(经典)完全预购的概念可以用几种方式来描述。在以前的工作中,我们研究了完全模糊预定是否可以用与脆情况相同的性质来表征。我们已经证明,通常情况并非如此。我们研究了五种可能的表征,并证明了只有一种表征仍然是模糊预购的。本文研究了无可比性的可加性模糊偏好结构的性质。尽管它们不是完全模糊预订的特征,但它们之间可以相互关联。在这篇文章中,我们展示了当偏好结构不允许无可比拟的选择时它们之间的联系。
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