Purpose

This paper aims to present a hybrid logical-arithmetic approach for selecting optimal flight routes. It can be used in the framework of free route airspace (FRA), which is aimed at achieving higher efficiency of air traffic management.

Design/methodology/approach

At the first stage, an initial subset of flight routes is selected that are promising alternatives with respect to single numerical criteria. At the second stage, a hybrid multicriteria decision model is constructed, consisting of numerical criteria and additional linguistic criteria. At the third stage, the numerical and linguistic criteria are integrated into a crisp decision matrix for determining the final ranking using the technique for order preferences by similarity to an ideal solution (TOPSIS) method.

Findings

The considered decision-making problem involves different kinds of criteria. Numerical (objective) criteria are given as real numbers. Linguistic (subjective) criteria are expressed with the help of fuzzy linguistic values. In consequence, a (logical) reasoning process prior to performing an (arithmetic) optimization procedure is necessary. Furthermore, a uniform optimization procedure requires a way of combining numerical and linguistic attributes.

Practical implications

The proposed approach can be applied to solving various multicriteria decision-making problems, where both objective and subjective criteria are taken into account.

Originality/value

First, a fuzzy information system that includes linguistic condition attributes is constructed. Second, a fuzzy inference system that is necessary for determining the resulting fuzzy criterion “turbulence conditions” for all flight routes is introduced. Finally, a way of combining numerical and linguistic criteria is proposed. This is done by converting values of fuzzy attributes into crisp ones, basing on the preferences of a decision-maker.

中文翻译：

---

飞行路线选择中的多准则决策

目的

本文旨在提出一种用于选择最佳飞行路线的混合逻辑算术方法。它可以在自由航线空域（FRA）的框架中使用，以实现更高的空中交通管理效率。

设计/方法/方法

在第一阶段，选择飞行路线的初始子集，这是关于单个数字标准的有希望的替代选择。在第二阶段，构建了一个混合的多准则决策模型，该决策模型由数字准则和其他语言准则组成。在第三阶段，将数字和语言标准集成到清晰的决策矩阵中，以便通过与理想解决方案（TOPSIS）方法相似的顺序偏好技术确定最终排名。

发现

所考虑的决策问题涉及不同种类的标准。数值（客观）标准以实数形式给出。语言（主观）标准在模糊语言值的帮助下表达。因此，在执行（算术）优化过程之前，必须进行（逻辑）推理过程。此外，统一的优化过程需要一种组合数值和语言属性的方法。

实际影响

所提出的方法可以应用于解决各种多准则决策问题，同时考虑了客观和主观准则。

创意/价值

首先，构建了包含语言条件属性的模糊信息系统。其次，引入了一个模糊推理系统，该系统对于确定所有飞行路线的最终模糊标准“湍流条件”是必需的。最后，提出了一种将数字和语言标准相结合的方法。这是通过根据决策者的偏好将模糊属性的值转换为清晰的属性来完成的。