Rodríguez López, J.; Romaguera Bonilla, S.; Sánchez Álvarez, JM. (2010). The Hausdorff fuzzy quasi-metric. Fuzzy Sets and Systems. 161:1078-1096. https://doi.org/10.1016/j.fss.2009.09.019
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/62348
Title:
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The Hausdorff fuzzy quasi-metric
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Author:
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Rodríguez López, Jesús
Romaguera Bonilla, Salvador
Sánchez Álvarez, José Manuel
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we ...[+]
Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we construct a fuzzy quasi-pseudo-metric on the collection of all nonempty subsets of X, called the Hausdorff fuzzy quasi-pseudo-metric. We investigate several properties of this structure and present several illustrative examples as well as an application to the domain of words. The notion of Hausdorff fuzzy quasi-pseudo-metric when quasi-pseudo-metric fuzziness is considered in the sense of George and Veeramani is also discussed.
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Subjects:
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The Hausdorff fuzzy quasi-pseudo-metric
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Complete
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Precompact
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Preorder
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The domain of words
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Fuzzy Sets and Systems. (issn:
0165-0114
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DOI:
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10.1016/j.fss.2009.09.019
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.fss.2009.09.019
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Project ID:
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info:eu-repo/grantAgreement/MEC//MTM2006-14925-C02-01/ES/NUEVOS METODOS Y MODELOS DE LA TOPOLOGIA ASIMETRICA Y DEL ALGEBRA TOPOLOGICA EN CIENCIA DE LA COMPUTACION Y MATEMATICA FUZZY/
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Thanks:
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Supported by the Plan Nacional I+D+i and FEDER, under Grant MTM2006-14925-C02-01.
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Type:
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Artículo
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