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Construction of nonreciprocal fuzzy preference relations with the use of preference functions

机译:使用偏好函数构造不可逆的模糊偏好关系

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In order to model the preferences of a decision-maker (DM) by means of fuzzy preferencerelations, a DM can utilize different preference formats (such as ordering of the alternatives, utility values, multiplicative preference relations, fuzzy estimates, and reciprocal as well as nonreciprocal fuzzy preference relations) to express his/her judgments. Afterward, the obtained information is utilized to constructfuzzy preference relations. Here we introduce a procedure that allows the use of so-called preference functions (which is a preference format utilized in the methods of PROMETHEE family) to construct nonreciprocal fuzzy preference relations. With diverse preference formats being offered, a DM can select the onethat is the most convenient to articulate his/her preferences. In order to demonstrate the applicability of theproposed procedure a multicriteria decision-making problem related to the site selection for constructing anew hospital is considered here.
机译:为了通过模糊偏好关系对决策者(DM)的偏好进行建模,DM可以利用不同的偏好格式(例如备选方案的顺序,效用值,乘性偏好关系,模糊估计以及倒数以及互惠的模糊偏好关系)来表达他/她的判断。然后,将获得的信息用于构建模糊偏好关系。在这里,我们介绍一个过程,该过程允许使用所谓的偏好函数(PROMETHEE系列方法中使用的偏好格式)来构造不可逆的模糊偏好关系。通过提供多种首选项格式,DM可以选择最方便表达其首选项的格式。为了证明所提议程序的适用性,这里考虑了与建造新医院的选址有关的多准则决策问题。

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