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Conclusions and Future Work on the Generalized Type-2 Fuzzy Sugeno Integral

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Extension of the Fuzzy Sugeno Integral Based on Generalized Type-2 Fuzzy Logic

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSINTELL))

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Abstract

In this work, the main goal was to develop a method to extend the fuzzy Sugeno integral using generalized type-2 fuzzy logic. The proposed method was developed and it was demonstrated that it works properly in two very different applications.

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References

  1. Martínez GE, Mendoza O, Castro JR, Melin P, Castillo O (2013) Generalized type-2 fuzzy logic in response integration of modular neural networks. In: IFSA World Congress and NAFIPS annual meeting (IFSA/NAFIPS)

    Google Scholar 

  2. Martinez GE, Mendoza O, Melin P, Gaxiola F (2016) Comparison between Choquet and Sugeno integrals as aggregation operators for modular neural networks. FUZZ-IEEE, 2331–2336

    Google Scholar 

  3. Martínez GE, Mendoza O, Castro JR, Melin P, Castillo O (2017) Choquet integral and interval type-2 fuzzy Choquet integral for edge detection. In: Nature-inspired design of hybrid intelligent systems, 79–97

    Google Scholar 

  4. Martinez GE, Mendoza O, Castro JR, Rodríguez Díaz A, Melin P, Castillo O (2016) Comparison between Choquet and Sugeno integrals as aggregation operators for pattern recognition. NAFIPS, 1–6

    Google Scholar 

  5. Martinez GE, Mendoza O, Castro JR, Rodriguez-Diaz A, Melin P (2015) Oscar castillo. In: Response integration in modular neural networks using Choquet integral with interval type 2 Sugeno measures. NAFIPS/WConSC, 1–6

    Google Scholar 

  6. Martínez GE, Melin P, Mendoza OD, Castillo O (2015) Face recognition with a Sobel edge detector and the Choquet integral as integration method in a modular neural networks. In: Design of intelligent systems based on fuzzy logic, neural networks and nature-inspired optimization, 59–70

    Google Scholar 

  7. Martínez GE, Mendoza O, Castro JR, Melin P, Castillo O (2014) Choquet integral with interval type 2 Sugeno measures as an integration method for modular neural networks. WCSC, 71–86

    Google Scholar 

  8. Melin P, Mancilla A, Lopez M, Mendoza O (2007) A hybrid modular neural network architecture with fuzzy Sugeno integration for time series forecasting. Appl Soft Comput 7(4):1217–1226

    Article  Google Scholar 

  9. Melin P, González CI, Castro JR, Mendoza O, Castillo O (2014) Edge-detection method for image processing based on generalized type-2 fuzzy logic. IEEE Trans Fuzzy Syst 22(6):1515–1525

    Article  Google Scholar 

  10. González CI, Melin P, Castro JR, Castillo O, Mendoza O (2016) Optimization of interval type-2 fuzzy systems for image edge detection. Appl Soft Comput 47:631–643

    Article  Google Scholar 

  11. González CI, Melin P, Castro JR, Mendoza O, Castillo O (2016) An improved sobel edge detection method based on generalized type-2 fuzzy logic. Soft Comput 20(2):773–784

    Article  Google Scholar 

  12. Ontiveros E, Melin P, Castillo O (2018) High order α-planes integration: a new approach to computational cost reduction of general Type-2 Fuzzy systems. Eng Appl of AI 74:186–197

    Article  Google Scholar 

  13. Melin P, Sánchez D, Castillo O (2012) Genetic optimization of modular neural networks with fuzzy response integration for human recognition. Inf Sci 197:1–19

    Article  Google Scholar 

  14. Sánchez D, Melin P, Castillo O (2017) Optimization of modular granular neural networks using a firefly algorithm for human recognition. Eng Appl AI 64:172–186

    Google Scholar 

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Correspondence to Patricia Melin .

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Melin, P., Martinez, G.E. (2020). Conclusions and Future Work on the Generalized Type-2 Fuzzy Sugeno Integral. In: Extension of the Fuzzy Sugeno Integral Based on Generalized Type-2 Fuzzy Logic. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-030-16416-4_5

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