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首页> 外文期刊>Knowledge-Based Systems >Construction of interval-valued fuzzy preference relations from ignorance functions and fuzzy preference relations. Application to decision making
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Construction of interval-valued fuzzy preference relations from ignorance functions and fuzzy preference relations. Application to decision making

机译：从无知函数和模糊偏好关系构造区间值模糊偏好关系。应用于决策

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摘要

This paper presents a method to construct an interval-valued fuzzy set from a fuzzy set and the representation of the lack of knowledge or ignorance that experts are subject to when they define the membership values of the elements to that fuzzy set. With this construction method, it is proved that membership intervals of equal length to the ignorance associated to the elements are obtained when the product t-norm and the probabilistic sum t-conorm are used. The construction method is applied to build interval-valued fuzzy preference relations (IVFRs) from given fuzzy preference relations (FRs). Afterwards, a general algorithm to solve decision making problems using IVFRs is proposed. The decision making algorithm implements different selection processes of alternatives where the order used to choose alternatives is a key factor. For this reason, different admissible orders between intervals are analysed. Finally, OWA operators with interval weights are analysed and a method to obtain those weights from real-valued weights is proposed.
机译：本文提出了一种从模糊集构建区间值模糊集的方法，该方法表示专家在定义模糊集元素的成员值时会遇到的知识或无知。通过这种构造方法，证明了当使用乘积t-范数和概率和t-conorm时，可以获得与元素相关联的无知相等长度的隶属区间。该构造方法适用于根据给定的模糊偏好关系（FR）建立区间值模糊偏好关系（IVFR）。然后，提出了一种使用IVFR解决决策问题的通用算法。决策算法实现了不同的替代选择过程，其中用于选择替代的顺序是关键因素。因此，分析了间隔之间的不同允许顺序。最后，分析了具有区间权重的OWA算子，并提出了一种从实值权重中获取权重的方法。

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  • 来源
    《Knowledge-Based Systems》 |2014年第3期|33-44|共12页
  • 作者

    Edurne Barrenechea; Javier Fernandez; Miguel Pagola; Francisco Chiclana; Humberto Bustince;

  • 作者单位

    Research Group on Artificial Intelligence and Approximate Reasoning, Department de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain;

    Research Group on Artificial Intelligence and Approximate Reasoning, Department de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain;

    Research Group on Artificial Intelligence and Approximate Reasoning, Department de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain;

    Centre for Computational Intelligence (CCI) and DMU Interdisciplinary Group in Intelligent Transport Systems (DIGITS), Faculty of Technology, De Montfort University, Leicester, UK;

    Research Group on Artificial Intelligence and Approximate Reasoning, Department de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Interval-valued fuzzy preference relation; Weak ignorance function; Admissible orders for intervals; Interval OWA operators; Interval weights; Decision making;

    机译：区间值模糊偏好关系;无知功能弱;允许的间隔订单;间隔OWA操作员;间隔权重;做决定;

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