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Non-iterative Wagner-Hagras General Type-2 Mamdani Singleton Fuzzy Logic System Optimized by Central Composite Design in Quality Assurance by Image Processing

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Recent Trends on Type-2 Fuzzy Logic Systems: Theory, Methodology and Applications

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 425))

Abstract

This paper presents the implementation of a non-iterative General Type-2 (GT2) Fuzzy Logic System (FLS) in quality assurance by image processing using Mamdani singleton model based on Wagner-Hagras (WH) algorithm. The antecedents and consequents are modelled and remain fixed. The modelling of the rule base uses the Central Composite Design (CCD) model to create a classifier in an industrial quality area. Results show that the implementation of the WH GT2FLS model provides very close or better results with a few alpha-cut versus an Interval Type-2 model (IT-2) FLS system depending on the type of membership function selected for the system.

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Author information

Authors and Affiliations

  1. División de Estudios de Posgrado e Investigación, Universidad Autónoma del Noreste, Blvd. José Musa de León y General Medardo de La Peña S/N, Col. Los Pinos, Saltillo, Coahuila, 25100, México

    Pascual Noradino Montes Dorantes

  2. Departamento de Ingeniería Eléctrica y Electrónica, Instituto Tecnológico de Nuevo León, Cd. Guadalupe N. L., Guadalupe, 67170, México

    Gerardo Maximiliano Mendez

Authors
  1. Pascual Noradino Montes Dorantes
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  2. Gerardo Maximiliano Mendez
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Corresponding author

Correspondence to Pascual Noradino Montes Dorantes .

Editor information

Editors and Affiliations

  1. Research Chair of Graduate Studies, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  2. Department of Electronics and Communication Engineering, National Institute of Technology, Patna, India

    Anupam Kumar

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Montes Dorantes, P.N., Mendez, G.M. (2023). Non-iterative Wagner-Hagras General Type-2 Mamdani Singleton Fuzzy Logic System Optimized by Central Composite Design in Quality Assurance by Image Processing. In: Castillo, O., Kumar, A. (eds) Recent Trends on Type-2 Fuzzy Logic Systems: Theory, Methodology and Applications. Studies in Fuzziness and Soft Computing, vol 425. Springer, Cham. https://doi.org/10.1007/978-3-031-26332-3_13

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