模糊判断的聚合方法

Q3 Economics, Econometrics and Finance
A. Syed, Ismat Beg, Asma Khalid
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引用次数: 1

摘要

Arrow(1963)指出,一个群体不可能总是达到逻辑上一致的集体结果。随后,文献中出现了基于前提、基于结论和基于距离的方法,以达到群体一致性。本文研究了基于模糊逻辑的t-范数族介入的判断聚合问题。我们比较了Miller和Osherson(2009)使用Lukasiewicz和min - t-norm提出的三种基于距离的方法。在基于模糊逻辑的设置下,这些方法的结果更接近于结果的一致性。它还拓宽了方法的属性集和真实性。本文研究的距离方法也满足解法中的阿罗公理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Aggregation Methods for Fuzzy Judgments
Arrow (1963) established that a group cannot always reach logically consistent collective outcome. Subsequently many developments like premise based, conclusion based and distance based methods have emerged in literature to reach group consistency. This study is focused on the judgment aggregation in fuzzy logic based setting with novel involvement of family of t-norms. We compare three distance based methods due to Miller and Osherson (2009) using Lukasiewicz and min t-norm. These methods in fuzzy logic based settings give closer results to consistency of outcome. It also broaden the set of properties and authenticity of the methods. Distance methods in our study also satisfy Arrow’s axioms in solution method.
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来源期刊
Fuzzy Economic Review
Fuzzy Economic Review Economics, Econometrics and Finance-Economics and Econometrics
CiteScore
0.40
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