Interval type-3 fuzzy fractal approach in sound speaker quality control evaluation

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作   者：

Castillo, Oscar;  Castro, Juan R.;  Melin, Patricia; 

作者机构：

UABC Univ;  Tijuana Inst Technol; 

关键词：

SYSTEM;  DESIGN;  Speaker quality;  NEURAL-NETWORKS;  Type-2 fuzzy logic;  MODEL;  Type-3 fuzzy logic;  IDENTIFICATION;  LOGIC; 

期刊名称：

Engineering Applications of Artificial Intelligence: The International Journal of Intelligent Real-Time Automation

i s s n：

0952-1976

年卷期：

2022 年 116 卷

页   码：

105363-

页   码：

摘   要：

This article is presenting a proposal for the mathematical definition of interval type-3 fuzzy sets, as a basis for later constructing all the theory needed for building interval type-3 fuzzy systems for different areas of application. It is well known that the most used form of fuzzy logic is the one called type-1, which later evolved into interval and general type-2. Recently, we have seen that type-2 fuzzy has outperformed type -1 in many real problems when there is high level of uncertainty, dynamic situations or nonlinearity. For these reasons it is worthwhile to explore the new area of type-3 fuzzy logic, and in this paper, we are putting forward some mathematical definitions of type-3 fuzzy sets and systems, as a starting point for later proposing their applications. In addition, we illustrate the potential of interval type-3 in a decision-making application in quality control. The aim of this study is to show the advantages of type-3 in a quality control problem that can be viewed as a decision-making process under uncertainty that estimates product quality Speaker manufacturing requires strict quality control and a combination of type-3 with fractal theory is able to outperform previous works with type-2 and type-1 in quality control. Simulation results of the proposed approach are compared with the results provided by human experts in sound speaker quality control to validate the effectiveness of the type-3 fuzzy fractal method in handling the uncertainty of this problem.