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.
CITATION STYLE
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 Communications in Computer and Information Science (Vol. 915, pp. 78–88). Springer Verlag. https://doi.org/10.1007/978-3-030-00350-0_7
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