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A method for aggregation of trapezoidal fuzzy estimates under group decision-making

机译：群决策下梯形模糊估计的一种聚合方法

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摘要

This paper introduces a simple method for group decision-making, where experts' opinions are expressed by trapezoidal fuzzy numbers. The method is based on the metric approach providing an easy procedure for achieving a one-valued consensus. A new approach for determining experts' degrees of importance is proposed. A theoretical basis is established, showing that the method is correct under the whole class of metrics on the set of trapezoidal fuzzy numbers. A specific fuzzy aggregation operator is constructed for the realization of the proposed approach. It is shown that despite its simplicity the proposed method preserves such important properties as Agreement Preservation, Order Independence, Linearity property etc. A comparative appraisal of the results obtained by the proposed approach and some other methods is given as well.
机译：本文介绍了一种简单的群体决策方法，即用梯形模糊数表达专家的意见。该方法基于度量方法，为实现单值共识提供了简单的过程。提出了一种确定专家重要性程度的新方法。建立了理论基础，表明该方法在整个梯形模糊数集度量标准下都是正确的。为了实现所提出的方法，构造了一个特定的模糊聚合算子。结果表明，尽管该方法简单易行，但它保留了诸如协议保留，顺序独立性，线性性等重要属性。对该方法和其他方法所获得的结果进行了比较评估。

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