On the sum of generalized hukuhara differentiable fuzzy functions

Yurilev Chalco-Cano; A. Khastan; Antonio Rufián-Lizana

doi:10.1007/978-3-030-50143-3_4

On the sum of generalized hukuhara differentiable fuzzy functions

Yurilev Chalco-Cano
, A. Khastan
, Antonio Rufián-Lizana

Departamento de Matemática

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

1 Cita (Scopus)

Resumen

In this article we present new results on the sum of gH-differentiable fuzzy functions. We give conditions so that the sum of two gH-differentiable fuzzy functions become gH-differentiable. We present also practical rules for obtaining the gH-derivative of the sum of fuzzy functions.

Idioma original	Inglés
Título de la publicación alojada	Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings
Editores	Marie-Jeanne Lesot, Susana Vieira, Marek Z. Reformat, João Paulo Carvalho, Anna Wilbik, Bernadette Bouchon-Meunier, Ronald R. Yager
Editorial	Springer Nature
Páginas	43-50
Número de páginas	8
ISBN (versión impresa)	9783030501426
DOI	https://doi.org/10.1007/978-3-030-50143-3_4
Estado	Publicada - 2020
Evento	18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020 - Lisbon, Portugal Duración: 15 jun. 2020 → 19 jun. 2020

Serie de la publicación

Nombre	Communications in Computer and Information Science
Volumen	1238 CCIS
ISSN (versión impresa)	1865-0929
ISSN (versión digital)	1865-0937

Conferencia

Conferencia	18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020
País/Territorio	Portugal
Ciudad	Lisbon
Período	15/06/20 → 19/06/20

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10.1007/978-3-030-50143-3_4

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Chalco-Cano, Y., Khastan, A., & Rufián-Lizana, A. (2020). On the sum of generalized hukuhara differentiable fuzzy functions. En M.-J. Lesot, S. Vieira, M. Z. Reformat, J. P. Carvalho, A. Wilbik, B. Bouchon-Meunier, & R. R. Yager (Eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings (pp. 43-50). (Communications in Computer and Information Science; Vol. 1238 CCIS). Springer Nature. https://doi.org/10.1007/978-3-030-50143-3_4

Chalco-Cano, Yurilev ; Khastan, A. ; Rufián-Lizana, Antonio. / On the sum of generalized hukuhara differentiable fuzzy functions. Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings. editor / Marie-Jeanne Lesot ; Susana Vieira ; Marek Z. Reformat ; João Paulo Carvalho ; Anna Wilbik ; Bernadette Bouchon-Meunier ; Ronald R. Yager. Springer Nature, 2020. pp. 43-50 (Communications in Computer and Information Science).

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title = "On the sum of generalized hukuhara differentiable fuzzy functions",

abstract = "In this article we present new results on the sum of gH-differentiable fuzzy functions. We give conditions so that the sum of two gH-differentiable fuzzy functions become gH-differentiable. We present also practical rules for obtaining the gH-derivative of the sum of fuzzy functions.",

keywords = "Algebra of gH-differentiable fuzzy functions, Fuzzy functions, gH-differentiable fuzzy functions",

author = "Yurilev Chalco-Cano and A. Khastan and Antonio Rufi{\'a}n-Lizana",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.; 18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020 ; Conference date: 15-06-2020 Through 19-06-2020",

year = "2020",

doi = "10.1007/978-3-030-50143-3\_4",

language = "English",

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series = "Communications in Computer and Information Science",

publisher = "Springer Nature",

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editor = "Marie-Jeanne Lesot and Susana Vieira and Reformat, \{Marek Z.\} and Carvalho, \{Jo{\~a}o Paulo\} and Anna Wilbik and Bernadette Bouchon-Meunier and Yager, \{Ronald R.\}",

booktitle = "Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings",

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Chalco-Cano, Y, Khastan, A & Rufián-Lizana, A 2020, On the sum of generalized hukuhara differentiable fuzzy functions. En M-J Lesot, S Vieira, MZ Reformat, JP Carvalho, A Wilbik, B Bouchon-Meunier & RR Yager (eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings. Communications in Computer and Information Science, vol. 1238 CCIS, Springer Nature, pp. 43-50, 18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020, Lisbon, Portugal, 15/06/20. https://doi.org/10.1007/978-3-030-50143-3_4

On the sum of generalized hukuhara differentiable fuzzy functions. / Chalco-Cano, Yurilev; Khastan, A.; Rufián-Lizana, Antonio.
Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings. ed. / Marie-Jeanne Lesot; Susana Vieira; Marek Z. Reformat; João Paulo Carvalho; Anna Wilbik; Bernadette Bouchon-Meunier; Ronald R. Yager. Springer Nature, 2020. p. 43-50 (Communications in Computer and Information Science; Vol. 1238 CCIS).

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

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T1 - On the sum of generalized hukuhara differentiable fuzzy functions

AU - Chalco-Cano, Yurilev

AU - Khastan, A.

AU - Rufián-Lizana, Antonio

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020.

PY - 2020

Y1 - 2020

N2 - In this article we present new results on the sum of gH-differentiable fuzzy functions. We give conditions so that the sum of two gH-differentiable fuzzy functions become gH-differentiable. We present also practical rules for obtaining the gH-derivative of the sum of fuzzy functions.

AB - In this article we present new results on the sum of gH-differentiable fuzzy functions. We give conditions so that the sum of two gH-differentiable fuzzy functions become gH-differentiable. We present also practical rules for obtaining the gH-derivative of the sum of fuzzy functions.

KW - Algebra of gH-differentiable fuzzy functions

KW - Fuzzy functions

KW - gH-differentiable fuzzy functions

UR - https://www.scopus.com/pages/publications/85086258404

U2 - 10.1007/978-3-030-50143-3_4

DO - 10.1007/978-3-030-50143-3_4

M3 - Conference contribution

AN - SCOPUS:85086258404

SN - 9783030501426

T3 - Communications in Computer and Information Science

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BT - Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings

A2 - Lesot, Marie-Jeanne

A2 - Vieira, Susana

A2 - Reformat, Marek Z.

A2 - Carvalho, João Paulo

A2 - Wilbik, Anna

A2 - Bouchon-Meunier, Bernadette

A2 - Yager, Ronald R.

PB - Springer Nature

T2 - 18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020

Y2 - 15 June 2020 through 19 June 2020

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Chalco-Cano Y, Khastan A, Rufián-Lizana A. On the sum of generalized hukuhara differentiable fuzzy functions. En Lesot MJ, Vieira S, Reformat MZ, Carvalho JP, Wilbik A, Bouchon-Meunier B, Yager RR, editores, Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings. Springer Nature. 2020. p. 43-50. (Communications in Computer and Information Science). doi: 10.1007/978-3-030-50143-3_4

On the sum of generalized hukuhara differentiable fuzzy functions

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