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Paired structures and bipolar knowledge representation

Author

Listed:
  • Javier Montero

    (Faculty of Mathematics, Complutense University)

  • Humberto Bustince

    (Departamento de Automática y Computación, Universidad Pública de Navarra)

  • Camilo Franco

    (Department of Food and Resource Economics, University of Copenhagen)

  • J. Tinguaro Rodríguez

    (Faculty of Mathematics, Complutense University)

  • Daniel Gómez

    (Faculty of Statistics, Complutense University)

  • Miguel Pagola

    (Departamento de Automática y Computación, Universidad Pública de Navarra)

  • Javier Fernandez

    (Departamento de Automática y Computación, Universidad Pública de Navarra)

  • Edurne Barrenechea

    (Departamento de Automática y Computación, Universidad Pública de Navarra)

Abstract

In this strictly positional paper we propose a general approach to bipolar knowledge representation, where the meaning of concepts can be modelled by examining their decomposition into opposite and neutral categories. In particular, it is the semantic relationship between the opposite categories which suggests the emergence of a paired structure and its associated type of neutrality, being there three general types of neutral categories, namely indeterminacy, ambivalence and conflict. Hence, the key issue consists in identifying the semantic opposition characterizing the meaning of concepts and at the same time the type of neutrality rising in between opposites. Based on this first level of bipolar knowledge representation, paired structures in fact offer the means to characterize a specific bipolar valuation scale depending on the meaning of the concept that has to be verified. In this sense, a paired structure is a standard basic structure that allows learning and building different valuation scales, leading to linear or even more complex valuation scales.

Suggested Citation

  • Javier Montero & Humberto Bustince & Camilo Franco & J. Tinguaro Rodríguez & Daniel Gómez & Miguel Pagola & Javier Fernandez & Edurne Barrenechea, 2014. "Paired structures and bipolar knowledge representation," MSAP Working Paper Series 06_2014, University of Copenhagen, Department of Food and Resource Economics.
    • Handle: RePEc:foi:msapwp:06_2014
    as

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    File URL: http://okonomi.foi.dk/workingpapers/MSAPpdf/MSAP2014/MSAP_WP06_2014.pdf
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    References listed on IDEAS

    as
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    2. Michel Grabisch & Salvatore Greco & Marc Pirlot, 2008. "Bipolar and bivariate models in multi-criteria decision analysis: descriptive and constructive approaches," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00340374, HAL.
    3. Amo, A. & Montero, J. & Biging, G. & Cutello, V., 2004. "Fuzzy classification systems," European Journal of Operational Research, Elsevier, vol. 156(2), pages 495-507, July.
    4. Montero, J. & Tejada, J. & Cutello, C., 1997. "A general model for deriving preference structures from data," European Journal of Operational Research, Elsevier, vol. 98(1), pages 98-110, April.
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    Cited by:

    1. Florentin Smarandache, 2019. "Refined Neutrosophy and Lattices vs. Pair Structures and YinYang Bipolar Fuzzy Set," Mathematics, MDPI, vol. 7(4), pages 1-16, April.

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