A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set

Juan Carlos Figueroa-García; Carlos Franco; Jhoan Sebastian Tenjo-García

doi:10.1007/978-3-030-82099-2_12

A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set

Juan Carlos Figueroa-García
, Carlos Franco
, Jhoan Sebastian Tenjo-García

Escuela de Administración

Producción científica: Capítulo en Libro/Informe › Capítulo › Investigación

Resumen

This work presents some considerations about the computation of the relative variance for Interval Type-2 Fuzzy Sets. Based on experimental evidence, the computation of the relative variance of an interval Type-2 fuzzy set using the KM algorithm needs more computations than using the original KM algorithm in order to obtain their boundaries since the variance combined with the KM algorithm results in a nonlinear behavior. A modified KM algorithm for computing the relative variance of an interval type-2 fuzzy set is proposed and a comprehensive analysis of its behavior is provided through two examples.

Idioma original	Inglés estadounidense
Título de la publicación alojada	Explainable AI and Other Applications of Fuzzy Techniques - Proceedings of the 2021 Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021
Editores	Julia Rayz, Victor Raskin, Scott Dick, Vladik Kreinovich
Editorial	Springer Science and Business Media Deutschland GmbH
Páginas	130-140
Número de páginas	11
ISBN (versión digital)	978-3-030-82099-2
ISBN (versión impresa)	9783030820985
DOI	https://doi.org/10.1007/978-3-030-82099-2_12
Estado	Publicada - 2022
Evento	Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021 - West Lafayette, Estados Unidos Duración: jun. 7 2021 → jun. 9 2021

Serie de la publicación

Nombre	Lecture Notes in Networks and Systems
Volumen	258
ISSN (versión impresa)	2367-3370
ISSN (versión digital)	2367-3389

Conferencia

Conferencia	Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021
País/Territorio	Estados Unidos
Ciudad	West Lafayette
Período	6/7/21 → 6/9/21

ODS de las Naciones Unidas

Este resultado contribuye a los siguientes Objetivos de Desarrollo Sostenible

ODS 12: Producción y consumo responsables

Áreas temáticas de ASJC Scopus

Ingeniería de control y sistemas
Procesamiento de senales
Redes de ordenadores y comunicaciones

Acceder al documento

10.1007/978-3-030-82099-2_12

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Figueroa-García, J. C., Franco, C., & Tenjo-García, J. S. (2022). A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set. En J. Rayz, V. Raskin, S. Dick, & V. Kreinovich (Eds.), Explainable AI and Other Applications of Fuzzy Techniques - Proceedings of the 2021 Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021 (pp. 130-140). (Lecture Notes in Networks and Systems; Vol. 258). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-82099-2_12

Figueroa-García, Juan Carlos ; Franco, Carlos ; Tenjo-García, Jhoan Sebastian. / A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set. Explainable AI and Other Applications of Fuzzy Techniques - Proceedings of the 2021 Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021. editor / Julia Rayz ; Victor Raskin ; Scott Dick ; Vladik Kreinovich. Springer Science and Business Media Deutschland GmbH, 2022. pp. 130-140 (Lecture Notes in Networks and Systems).

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abstract = "This work presents some considerations about the computation of the relative variance for Interval Type-2 Fuzzy Sets. Based on experimental evidence, the computation of the relative variance of an interval Type-2 fuzzy set using the KM algorithm needs more computations than using the original KM algorithm in order to obtain their boundaries since the variance combined with the KM algorithm results in a nonlinear behavior. A modified KM algorithm for computing the relative variance of an interval type-2 fuzzy set is proposed and a comprehensive analysis of its behavior is provided through two examples.",

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Figueroa-García, JC, Franco, C & Tenjo-García, JS 2022, A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set. En J Rayz, V Raskin, S Dick & V Kreinovich (eds.), Explainable AI and Other Applications of Fuzzy Techniques - Proceedings of the 2021 Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021. Lecture Notes in Networks and Systems, vol. 258, Springer Science and Business Media Deutschland GmbH, pp. 130-140, Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021, West Lafayette, Estados Unidos, 6/7/21. https://doi.org/10.1007/978-3-030-82099-2_12

A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set. / Figueroa-García, Juan Carlos; Franco, Carlos; Tenjo-García, Jhoan Sebastian.
Explainable AI and Other Applications of Fuzzy Techniques - Proceedings of the 2021 Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021. ed. / Julia Rayz; Victor Raskin; Scott Dick; Vladik Kreinovich. Springer Science and Business Media Deutschland GmbH, 2022. p. 130-140 (Lecture Notes in Networks and Systems; Vol. 258).

Producción científica: Capítulo en Libro/Informe › Capítulo › Investigación

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Figueroa-García JC, Franco C, Tenjo-García JS. A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set. En Rayz J, Raskin V, Dick S, Kreinovich V, editores, Explainable AI and Other Applications of Fuzzy Techniques - Proceedings of the 2021 Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021. Springer Science and Business Media Deutschland GmbH. 2022. p. 130-140. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-030-82099-2_12