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Construction of interval-valued fuzzy entropy invariant by translations and scalings

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Abstract

In this paper, we propose a method to construct interval-valued fuzzy entropies (Burillo and Bustince 1996). This method uses special aggregation functions applied to interval-contrasts. In this way, we are able to construct interval-valued fuzzy entropies from automorphisms and implication operators. Finally, we study the invariance of our constructions by scaling and translation.

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Acknowledgments

This paper has been partially supported by the National Science Foundation of Spain, Reference TIN2007-65981.

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Authors and Affiliations

  1. Automática y Computación, Universidad Pública de Navarra, 31006, Pamplona, Spain

    Edurne Barrenechea, Humberto Bustince, Miguel Pagola & Javier Fernandez

Authors
  1. Edurne Barrenechea
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  2. Humberto Bustince
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  3. Miguel Pagola
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  4. Javier Fernandez
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Correspondence to Edurne Barrenechea.

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Barrenechea, E., Bustince, H., Pagola, M. et al. Construction of interval-valued fuzzy entropy invariant by translations and scalings. Soft Comput 14, 945–952 (2010). https://doi.org/10.1007/s00500-009-0480-7

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