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

Department of Mathematics

Institute for Advanced Studies in Basic Sciences, Zanjan
University of Seville

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

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.

Original language	English
Title of host publication	Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings
Editors	Marie-Jeanne Lesot, Susana Vieira, Marek Z. Reformat, João Paulo Carvalho, Anna Wilbik, Bernadette Bouchon-Meunier, Ronald R. Yager
Publisher	Springer Nature
Pages	43-50
Number of pages	8
ISBN (Print)	9783030501426
DOIs	https://doi.org/10.1007/978-3-030-50143-3_4
State	Published - 2020
Event	18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020 - Lisbon, Portugal Duration: 15 Jun 2020 → 19 Jun 2020

Publication series

Name	Communications in Computer and Information Science
Volume	1238 CCIS
ISSN (Print)	1865-0929
ISSN (Electronic)	1865-0937

Conference

Conference	18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020
Country/Territory	Portugal
City	Lisbon
Period	15/06/20 → 19/06/20

Keywords

Algebra of gH-differentiable fuzzy functions
Fuzzy functions
gH-differentiable fuzzy functions

Access to Document

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

Cite this

Chalco-Cano, Y., Khastan, A., & Rufián-Lizana, A. (2020). On the sum of generalized hukuhara differentiable fuzzy functions. In 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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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",

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doi = "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. in 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).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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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

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A2 - Reformat, Marek Z.

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Chalco-Cano Y, Khastan A, Rufián-Lizana A. On the sum of generalized hukuhara differentiable fuzzy functions. In Lesot MJ, Vieira S, Reformat MZ, Carvalho JP, Wilbik A, Bouchon-Meunier B, Yager RR, editors, 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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