A note about the (x, y) coordinates of the centroid of a fuzzy set

Juan Carlos Figueroa-García; Eduyn Ramiro López-Santana; Carlos Franco-Franco

doi:10.1007/978-3-030-00350-0_7

A note about the (x, y) coordinates of the centroid of a fuzzy set

Juan Carlos Figueroa-García, Eduyn Ramiro López-Santana, Carlos Franco-Franco

urosario

Research output: Chapter in Book/Inform › Conference contribution

Abstract

This paper presents some considerations about the centroid of a fuzzy set, where the y-coordinate (or vertical centroid) is defined and discussed. An interesting fact about the y-centroid is analyzed using some results for Gaussian, triangular, and non-convex fuzzy sets. Some considerations about the obtained results are provided and some recommendations are given.

Original language	English (US)
Title of host publication	Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings
Editors	Eduyn Ramiro Lopez-Santana, Juan Carlos Figueroa-Garcia, Jose Ignacio Rodriguez-Molano
Publisher	Springer
Pages	78-88
Number of pages	11
ISBN (Print)	9783030003494
DOIs	https://doi.org/10.1007/978-3-030-00350-0_7
State	Published - 2018
Event	5th Workshop on Engineering Applications, WEA 2018 - Medellín, Colombia Duration: Oct 17 2018 → Oct 19 2018

Publication series

Name	Communications in Computer and Information Science
Volume	915
ISSN (Print)	1865-0929

Conference

Conference	5th Workshop on Engineering Applications, WEA 2018
Country/Territory	Colombia
City	Medellín
Period	10/17/18 → 10/19/18

All Science Journal Classification (ASJC) codes

General Computer Science
General Mathematics

Access to Document

10.1007/978-3-030-00350-0_7

Cite this

Figueroa-García, J. C., López-Santana, E. R., & Franco-Franco, C. (2018). A note about the (x, y) coordinates of the centroid of a fuzzy set. In E. R. Lopez-Santana, J. C. Figueroa-Garcia, & J. I. Rodriguez-Molano (Eds.), Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings (pp. 78-88). (Communications in Computer and Information Science; Vol. 915). Springer. https://doi.org/10.1007/978-3-030-00350-0_7

Figueroa-García, Juan Carlos ; López-Santana, Eduyn Ramiro ; Franco-Franco, Carlos. / A note about the (x, y) coordinates of the centroid of a fuzzy set. Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings. editor / Eduyn Ramiro Lopez-Santana ; Juan Carlos Figueroa-Garcia ; Jose Ignacio Rodriguez-Molano. Springer, 2018. pp. 78-88 (Communications in Computer and Information Science).

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abstract = "This paper presents some considerations about the centroid of a fuzzy set, where the y-coordinate (or vertical centroid) is defined and discussed. An interesting fact about the y-centroid is analyzed using some results for Gaussian, triangular, and non-convex fuzzy sets. Some considerations about the obtained results are provided and some recommendations are given.",

author = "Figueroa-Garc{\'i}a, {Juan Carlos} and L{\'o}pez-Santana, {Eduyn Ramiro} and Carlos Franco-Franco",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.; 5th Workshop on Engineering Applications, WEA 2018 ; Conference date: 17-10-2018 Through 19-10-2018",

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doi = "10.1007/978-3-030-00350-0_7",

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Figueroa-García, JC, López-Santana, ER & Franco-Franco, C 2018, A note about the (x, y) coordinates of the centroid of a fuzzy set. in ER Lopez-Santana, JC Figueroa-Garcia & JI Rodriguez-Molano (eds), Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings. Communications in Computer and Information Science, vol. 915, Springer, pp. 78-88, 5th Workshop on Engineering Applications, WEA 2018, Medellín, Colombia, 10/17/18. https://doi.org/10.1007/978-3-030-00350-0_7

A note about the (x, y) coordinates of the centroid of a fuzzy set. / Figueroa-García, Juan Carlos; López-Santana, Eduyn Ramiro; Franco-Franco, Carlos.
Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings. ed. / Eduyn Ramiro Lopez-Santana; Juan Carlos Figueroa-Garcia; Jose Ignacio Rodriguez-Molano. Springer, 2018. p. 78-88 (Communications in Computer and Information Science; Vol. 915).

Research output: Chapter in Book/Inform › Conference contribution

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T1 - A note about the (x, y) coordinates of the centroid of a fuzzy set

AU - Figueroa-García, Juan Carlos

AU - López-Santana, Eduyn Ramiro

AU - Franco-Franco, Carlos

PY - 2018

Y1 - 2018

N2 - This paper presents some considerations about the centroid of a fuzzy set, where the y-coordinate (or vertical centroid) is defined and discussed. An interesting fact about the y-centroid is analyzed using some results for Gaussian, triangular, and non-convex fuzzy sets. Some considerations about the obtained results are provided and some recommendations are given.

AB - This paper presents some considerations about the centroid of a fuzzy set, where the y-coordinate (or vertical centroid) is defined and discussed. An interesting fact about the y-centroid is analyzed using some results for Gaussian, triangular, and non-convex fuzzy sets. Some considerations about the obtained results are provided and some recommendations are given.

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T3 - Communications in Computer and Information Science

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EP - 88

BT - Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings

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PB - Springer

T2 - 5th Workshop on Engineering Applications, WEA 2018

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Figueroa-García JC, López-Santana ER, Franco-Franco C. A note about the (x, y) coordinates of the centroid of a fuzzy set. In Lopez-Santana ER, Figueroa-Garcia JC, Rodriguez-Molano JI, editors, Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings. Springer. 2018. p. 78-88. (Communications in Computer and Information Science). doi: 10.1007/978-3-030-00350-0_7

A note about the (x, y) coordinates of the centroid of a fuzzy set

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