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Adjoint Triples and Residuated Aggregators

  • Conference paper
Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 444))

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Abstract

Several domains, such as fuzzy logic programming, formal concept analysis and fuzzy relation equations, consider basic operators which need to have associated residuated implications. Adjoint triples are formed by operators satisfying weak properties, usefully used in these domains. This paper presents the comparison of these triples with other general operators considered in these frameworks.

Partially supported by the Spanish Science Ministry projects TIN2009-14562-C05-03 and TIN2012-39353-C04-04, and by Junta de Andalucía project P09-FQM-5233.

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Author information

Authors and Affiliations

  1. Department of Statistic and O.R., University of Cádiz, Spain

    María Eugenia Cornejo & Eloisa Ramírez-Poussa

  2. Department of Mathematics, University of Cádiz, Spain

    Jesús Medina

Authors
  1. María Eugenia Cornejo
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  2. Jesús Medina
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  3. Eloisa Ramírez-Poussa
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Editor information

Editors and Affiliations

  1. University Montpellier 2, LIRMM - CNRS UMR 5506, 161, Rue Ada, 34392, Montpellier Cedex 5, France

    Anne Laurent

  2. Institute for Human Factors and Technology Management, IAT, University of Stuttgart, Nobelstraße 12, 70569, Stuttgart, Germany

    Oliver Strauss

  3. LIP6, UPMC Univ. Paris 06, CNRS UMR 7606, F-75005, Paris, France

    Bernadette Bouchon-Meunier

  4. Dept. of Information Systems, Iona College, 710 North Ave, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2014 Springer International Publishing Switzerland

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Cornejo, M.E., Medina, J., Ramírez-Poussa, E. (2014). Adjoint Triples and Residuated Aggregators. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 444. Springer, Cham. https://doi.org/10.1007/978-3-319-08852-5_36

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  • DOI: https://doi.org/10.1007/978-3-319-08852-5_36

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08851-8

  • Online ISBN: 978-3-319-08852-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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