About the Use of Admissible Order for Defining Implication Operators

  • M. Asiain
  • Humberto BustinceEmail author
  • B. Bedregal
  • Z. Takáč
  • M. Baczyński
  • D. Paternain
  • G. P. Dimuro
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9880)


Implication functions are crucial operators for many fuzzy logic applications. In this work, we consider the definition of implication functions in the interval-valued setting using admissible orders and we use this interval-valued implications for building comparison measures.


Interval-valued implication operator Admissible order Similarity measure 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • M. Asiain
    • 1
  • Humberto Bustince
    • 2
    • 3
    Email author
  • B. Bedregal
    • 4
  • Z. Takáč
    • 5
  • M. Baczyński
    • 6
  • D. Paternain
    • 2
  • G. P. Dimuro
    • 7
  1. 1.Dept. de MatemáticasUniversidad Pública de NavarraPamplonaSpain
  2. 2.Dept. de Automática y ComputaciónUniversidad Pública de NavarraPamplonaSpain
  3. 3.Institute of Smart CitiesUniversidad Pública de NavarraPamplonaSpain
  4. 4.Departamento de Informática e Matemática AplicadaUniversidade Federal do Rio Grande do NorteNatalBrazil
  5. 5.Institute of Information Engineering, Automation and MathematicsSlovak University of Technology in BratislavaBratislavaSlovakia
  6. 6.Institute of MathematicsUniversity of SilesiaKatowicePoland
  7. 7.Centro de Ciências ComputacionaisUniversidade Federal do Rio GrandeRio GrandeBrazil

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