Vector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging

The conventional fuzzy c-spherical shells (FCSS) clustering model is extended to cluster shells involving non-crisp numbers, in this paper. This is achieved by a vectorized representation of distance, between two non-crisp numbers like the crisp numbers case. Using the proposed clustering method, na...

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Autores principales:	Iman Abaspur Kazerouni, Hadi Mahdipour, Gerard Dooly, Daniel Toal
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	imaging fuzzy set algorithms and clustering satellite images Science Q
Acceso en línea:	https://doaj.org/article/0f9f7e53d67242d99fa49f030f50e755
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spelling	oai:doaj.org-article:0f9f7e53d67242d99fa49f030f50e7552021-11-11T18:58:54ZVector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging10.3390/rs132144822072-4292https://doaj.org/article/0f9f7e53d67242d99fa49f030f50e7552021-11-01T00:00:00Zhttps://www.mdpi.com/2072-4292/13/21/4482https://doaj.org/toc/2072-4292The conventional fuzzy c-spherical shells (FCSS) clustering model is extended to cluster shells involving non-crisp numbers, in this paper. This is achieved by a vectorized representation of distance, between two non-crisp numbers like the crisp numbers case. Using the proposed clustering method, named vector fuzzy c-spherical shells (VFCSS), all crisp and non-crisp numbers can be clustered by the FCSS algorithm in a unique structure. Therefore, we can implement FCSS clustering over various types of numbers in a unique structure with only a few alterations in the details used in implementing each case. The relations of VFCSS applied to crisp and non-crisp (containing symbolic-interval, LR-type, TFN-type and TAN-type fuzzy) numbers are presented in this paper. Finally, simulation results are reported for VFCSS applied to synthetic LR-type fuzzy numbers; where the application of the proposed method in real life and in geomorphology science is illustrated by extracting the radii of circular agricultural fields using remotely sensed images and the results show better performance and lower cost computational complexity of the proposed method in comparison to conventional FCSS.Iman Abaspur KazerouniHadi MahdipourGerard DoolyDaniel ToalMDPI AGarticleimagingfuzzy setalgorithms and clusteringsatellite imagesScienceQENRemote Sensing, Vol 13, Iss 4482, p 4482 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	imaging fuzzy set algorithms and clustering satellite images Science Q
spellingShingle	imaging fuzzy set algorithms and clustering satellite images Science Q Iman Abaspur Kazerouni Hadi Mahdipour Gerard Dooly Daniel Toal Vector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging
description	The conventional fuzzy c-spherical shells (FCSS) clustering model is extended to cluster shells involving non-crisp numbers, in this paper. This is achieved by a vectorized representation of distance, between two non-crisp numbers like the crisp numbers case. Using the proposed clustering method, named vector fuzzy c-spherical shells (VFCSS), all crisp and non-crisp numbers can be clustered by the FCSS algorithm in a unique structure. Therefore, we can implement FCSS clustering over various types of numbers in a unique structure with only a few alterations in the details used in implementing each case. The relations of VFCSS applied to crisp and non-crisp (containing symbolic-interval, LR-type, TFN-type and TAN-type fuzzy) numbers are presented in this paper. Finally, simulation results are reported for VFCSS applied to synthetic LR-type fuzzy numbers; where the application of the proposed method in real life and in geomorphology science is illustrated by extracting the radii of circular agricultural fields using remotely sensed images and the results show better performance and lower cost computational complexity of the proposed method in comparison to conventional FCSS.
format	article
author	Iman Abaspur Kazerouni Hadi Mahdipour Gerard Dooly Daniel Toal
author_facet	Iman Abaspur Kazerouni Hadi Mahdipour Gerard Dooly Daniel Toal
author_sort	Iman Abaspur Kazerouni
title	Vector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging
title_short	Vector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging
title_full	Vector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging
title_fullStr	Vector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging
title_full_unstemmed	Vector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging
title_sort	vector fuzzy c-spherical shells (vfcss) over non-crisp numbers for satellite imaging
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0f9f7e53d67242d99fa49f030f50e755
work_keys_str_mv	AT imanabaspurkazerouni vectorfuzzycsphericalshellsvfcssovernoncrispnumbersforsatelliteimaging AT hadimahdipour vectorfuzzycsphericalshellsvfcssovernoncrispnumbersforsatelliteimaging AT gerarddooly vectorfuzzycsphericalshellsvfcssovernoncrispnumbersforsatelliteimaging AT danieltoal vectorfuzzycsphericalshellsvfcssovernoncrispnumbersforsatelliteimaging
_version_	1718431627739136000

Vector Fuzzy c-Spherical Shells (VFCSS) over Non-Crisp Numbers for Satellite Imaging

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