arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2211.00599cs.AIcs.LG

UNFIS:一种用于分类的具有非结构化模糊规则的新型神经模糊推理系统

UNFIS: A Novel Neuro-Fuzzy Inference System with Unstructured Fuzzy Rules for Classification

Faculty of Computer Science and Engineering(计算机科学与工程学院);Shahid Beheshti University(沙希德·贝赫什提大学)

Armin Salimi-Badr

AI总结:

本文提出UNFIS神经模糊推理系统,通过自适应模糊选择神经元为每条规则选择不同输入变量,突破传统FIS结构化规则限制,并结合GqLM学习方法,在分类任务中以更简约的非结构化规则实现更好或相当的泛化性能。

摘要:

模糊推理系统(FIS)的一个重要约束是其结构化规则是基于对所有输入变量进行评估而定义的。实际上,所有模糊规则的长度与输入变量的数量是相等的。然而,在许多决策问题中,仅对一组有限的输入变量上的某些条件进行评估就足以做出正确决策(非结构化规则)。因此,这一约束限制了FIS的性能、泛化能力和可解释性。为了解决这一问题,本文提出了一种用于分类应用的神经模糊推理系统,该系统可以为构建每条模糊规则选择不同的输入变量集合。为了实现这一能力,本文提出了一种带有自适应参数的新型模糊选择神经元,它可以在每条模糊规则的前件部分选择输入变量。此外,本文还对Takagi-Sugeno-Kang FIS的后件部分进行了适当修改,使其只考虑所选定的输入变量集合。为了学习所提架构的参数,本文提出了一种基于信赖域的学习方法(广义拟Levenberg-Marquardt(GqLM)),用于在多类问题中最小化交叉熵。在一些真实世界分类问题中,将所提方法的性能与一些相关的先前方法进行了比较。基于这些比较,所提方法在具有由非结构化模糊规则构成的简约结构下,取得了更好或非常接近的性能。

英文摘要:

An important constraint of Fuzzy Inference Systems (FIS) is their structured rules defined based on evaluating all input variables. Indeed, the length of all fuzzy rules and the number of input variables are equal. However, in many decision-making problems evaluating some conditions on a limited set of input variables is sufficient to decide properly (unstructured rules). Therefore, this constraint limits the performance, generalization, and interpretability of the FIS. To address this issue, this paper presents a neuro-fuzzy inference system for classification applications that can select different sets of input variables for constructing each fuzzy rule. To realize this capability, a new fuzzy selector neuron with an adaptive parameter is proposed that can select input variables in the antecedent part of each fuzzy rule. Moreover, in this paper, the consequent part of the Takagi-Sugeno-Kang FIS is also changed properly to consider only the selected set of input variables. To learn the parameters of the proposed architecture, a trust-region-based learning method (General quasi-Levenberg-Marquardt (GqLM)) is proposed to minimize cross-entropy in multiclass problems. The performance of the proposed method is compared with some related previous approaches in some real-world classification problems. Based on these comparisons the proposed method has better or very close performance with a parsimonious structure consisting of unstructured fuzzy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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