Two fuzziness indexes proposed by Kaufmann: observations about them

Autores
Sierra Duque, Carlos M.; Álvarez, Hernán
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Professor Arnold Kaufmann did propose at least two types of indexes for estimating fuzziness in finite standard fuzzy sets. First one has an analogue formulation to that stated by Claude Shannon for measuring uncertainty in a given system. Shannon formulation estimates one type of uncertainty classified as conflict. The present paper will reveal the inconvenience of such an index for measuring fuzziness phenomena. In addition, it is proved algebraic equivalence between another index posed by Kaufmann and a fuzziness index proposed by Ronald Yager.
Facultad de Informática
Materia
Ciencias Informáticas
entropy
fuzziness
uncertainty indexes
uncertainty measure
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc/3.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/9645

id SEDICI_a877851a88e237e1cad1d7add734ee72
oai_identifier_str oai:sedici.unlp.edu.ar:10915/9645
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Two fuzziness indexes proposed by Kaufmann: observations about themSierra Duque, Carlos M.Álvarez, HernánCiencias Informáticasentropyfuzzinessuncertainty indexesuncertainty measureProfessor Arnold Kaufmann did propose at least two types of indexes for estimating fuzziness in finite standard fuzzy sets. First one has an analogue formulation to that stated by Claude Shannon for measuring uncertainty in a given system. Shannon formulation estimates one type of uncertainty classified as conflict. The present paper will reveal the inconvenience of such an index for measuring fuzziness phenomena. In addition, it is proved algebraic equivalence between another index posed by Kaufmann and a fuzziness index proposed by Ronald Yager.Facultad de Informática2009-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf17-20http://sedici.unlp.edu.ar/handle/10915/9645enginfo:eu-repo/semantics/altIdentifier/url/http://journal.info.unlp.edu.ar/wp-content/uploads/JCST-Apr09-3.pdfinfo:eu-repo/semantics/altIdentifier/issn/1666-6038info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc/3.0/Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T16:32:21Zoai:sedici.unlp.edu.ar:10915/9645Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 16:32:21.758SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Two fuzziness indexes proposed by Kaufmann: observations about them
title Two fuzziness indexes proposed by Kaufmann: observations about them
spellingShingle Two fuzziness indexes proposed by Kaufmann: observations about them
Sierra Duque, Carlos M.
Ciencias Informáticas
entropy
fuzziness
uncertainty indexes
uncertainty measure
title_short Two fuzziness indexes proposed by Kaufmann: observations about them
title_full Two fuzziness indexes proposed by Kaufmann: observations about them
title_fullStr Two fuzziness indexes proposed by Kaufmann: observations about them
title_full_unstemmed Two fuzziness indexes proposed by Kaufmann: observations about them
title_sort Two fuzziness indexes proposed by Kaufmann: observations about them
dc.creator.none.fl_str_mv Sierra Duque, Carlos M.
Álvarez, Hernán
author Sierra Duque, Carlos M.
author_facet Sierra Duque, Carlos M.
Álvarez, Hernán
author_role author
author2 Álvarez, Hernán
author2_role author
dc.subject.none.fl_str_mv Ciencias Informáticas
entropy
fuzziness
uncertainty indexes
uncertainty measure
topic Ciencias Informáticas
entropy
fuzziness
uncertainty indexes
uncertainty measure
dc.description.none.fl_txt_mv Professor Arnold Kaufmann did propose at least two types of indexes for estimating fuzziness in finite standard fuzzy sets. First one has an analogue formulation to that stated by Claude Shannon for measuring uncertainty in a given system. Shannon formulation estimates one type of uncertainty classified as conflict. The present paper will reveal the inconvenience of such an index for measuring fuzziness phenomena. In addition, it is proved algebraic equivalence between another index posed by Kaufmann and a fuzziness index proposed by Ronald Yager.
Facultad de Informática
description Professor Arnold Kaufmann did propose at least two types of indexes for estimating fuzziness in finite standard fuzzy sets. First one has an analogue formulation to that stated by Claude Shannon for measuring uncertainty in a given system. Shannon formulation estimates one type of uncertainty classified as conflict. The present paper will reveal the inconvenience of such an index for measuring fuzziness phenomena. In addition, it is proved algebraic equivalence between another index posed by Kaufmann and a fuzziness index proposed by Ronald Yager.
publishDate 2009
dc.date.none.fl_str_mv 2009-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/9645
url http://sedici.unlp.edu.ar/handle/10915/9645
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journal.info.unlp.edu.ar/wp-content/uploads/JCST-Apr09-3.pdf
info:eu-repo/semantics/altIdentifier/issn/1666-6038
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc/3.0/
Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc/3.0/
Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)
dc.format.none.fl_str_mv application/pdf
17-20
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1846782743568973824
score 12.982451