Fuzzy approaches that are proposed to describe uncertain, impressive or vague concepts, are based on the construction of membership function (MF), which reflects what is known about the linguistic variables in the application domain. However, a non-trivial problem exists in how to construct the most appropriate MF that has the best-fit representation of the analysed problem. Therefore, many authors propose their own ways to construct MF using a certain technique in a particular application domain. Consequently, the need for a general approach for constructing MF led us to systematise and to generalise the analysed approaches into a general methodological framework (GMF) of constructing MF. The novelty of this paper is that the proposed GMF is general, domain independent and free of a chosen understanding of fuzziness (i.e., similarity (imprecision), preference (vagueness), and uncertainty). To verify the proposed GMF, it was applied for the enterprise business service quality (QoS_EBS) planning problem. The obtained results showed that a semi-automatic MF construction for QoS_EBS planning was more sensitive, less subjective and more precise than a manual construction. Moreover, illustrative examples showed that our proposed GMF is applicable and implementable. The reliability of the results was assessed using experts and users’ experience, which is based on general guidelines of the “acceptable” response time limits for various activities.

中文翻译：

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Type-1成员函数构造的一般框架：以QoS规划为例

提出的用来描述不确定，令人印象深刻或模糊的概念的模糊方法是基于隶属度函数（MF）的构造的，该函数反映了有关应用程序领域中语言变量的已知信息。但是，在如何构造具有最适合分析问题的最合适的MF方面存在一个不小的问题。因此，许多作者提出了他们自己的在特定应用领域中使用某种技术来构造MF的方法。因此，对构建MF的通用方法的需求导致我们系统化并将分析的方法归纳为构建MF的通用方法框架（GMF）。本文的新颖之处在于，拟议的GMF具有通用性，领域独立性且没有对模糊性的选择理解（即，相似性（不精确），偏好（模糊性）和不确定性）。为了验证提议的GMF，将其应用于企业业务服务质量（QoS_EBS）计划问题。获得的结果表明，用于QoS _EBS规划的半自动MF构造比手动构造更为敏感，主观性和精确性更高。此外，示例性例子表明，我们提出的GMF是适用和可实施的。使用专家和用户的经验来评估结果的可靠性，该经验基于各种活动的“可接受”响应时间限制的一般准则。