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Ciobanu G, Văideanu C. A note on similarity relations between fuzzy attribute-oriented concept lattices. Inf Sci (N Y) 2018. [DOI: 10.1016/j.ins.2018.05.034] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Sussner P, Schuster T. Interval-valued fuzzy morphological associative memories: Some theoretical aspects and applications. Inf Sci (N Y) 2018. [DOI: 10.1016/j.ins.2018.01.042] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Alcalde C, Burusco A, Bustince H, Fuentes-Gonzalez R, Sesma-Sara M. Linking Mathematical Morphology and L-Fuzzy Concepts. INT J UNCERTAIN FUZZ 2017. [DOI: 10.1142/s0218488517400049] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In this paper we study the relation between L-fuzzy morphology and L-fuzzy concepts over complete lattices. In particular, we show how the erosion and dilation operators of the former can be understood in terms of the derivation operators of the latter, even when the set of objects is different from the set of attributes.
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Affiliation(s)
- Cristina Alcalde
- Department of Applied Mathematics, University of the Basque Country-UPV/EHU, Plaza de Europa 1, 20018 San Sebastian, Spain
| | - Ana Burusco
- Departamento de Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
- Institute of Smart Cities, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
| | - Humberto Bustince
- Departamento de Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
- Institute of Smart Cities, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
| | - Ramon Fuentes-Gonzalez
- Departamento de Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
| | - Mikel Sesma-Sara
- Departamento de Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
- Institute of Smart Cities, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
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García-Pardo F, Cabrera I, Cordero P, Ojeda-Aciego M, Rodríguez F. On the definition of suitable orderings to generate adjunctions over an unstructured codomain. Inf Sci (N Y) 2014. [DOI: 10.1016/j.ins.2014.07.006] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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A Note on Computing the Crisp Order Context of a Fuzzy Formal Context for Knowledge Reduction. JOURNAL OF INFORMATION PROCESSING SYSTEMS 2014. [DOI: 10.3745/jips.04.0009] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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