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The Most Representative Utility Function foi Non-Additive Robust Ordinal Regression

机译:非加性稳健序数回归的最有代表性的效用函数

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to represent preferences of a Decision Maker (DM). More precisely, NAROR takes into account all the fuzzy measures which are compatible with the preference information given by the DM and builds two preference relations: possible preference relation, when there is at least one compatible fuzzy measure for which an alternative is preferred to the other, and necessary preference relation, when an alternative is preferred to the other for all compatible fuzzy measures. Although it is interesting to take into consideration all the compatible fuzzy measures, in some decision problems we need to give a value to every alternative and it results necessary to obtain the most representative fuzzy measures among all the compatible ones. The aim of the paper is to propose an algorithm to the DM for selecting the most representative utility function expressed as Choquet integral from which a DM's representation of preferences is obtained.
机译:代表决策者(DM)的偏好。更准确地说,NAROR考虑了与DM给出的偏好信息兼容的所有模糊度量,并建立了两个偏好关系:可能的偏好关系,当存在至少一个兼容的模糊度量时,对于该模糊度量,另一种偏好是首选的,以及必要的偏好关系,对于所有兼容的模糊测度来说,替代方案要比另一方案更好。尽管有趣的是要考虑所有兼容的模糊测度,但在某些决策问题中,我们需要为每个替代方案赋予一个值,并且有必要获得所有兼容的模糊测度中最具代表性的模糊测度。本文的目的是为DM提出一种算法,以选择表示为Choquet积分的最具代表性的效用函数,从而从中获得DM的偏好表示。

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