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Generalized Attanasov’s Operators Defined on Lattice Intervals

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Book cover Eurofuse 2011

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 107))

Abstract

In this paper we give a definition of an OWA operator on any complete lattice that generalizes the notion of an OWA operator in the real case. In addition we introduce a class of functions defined on lattice intervals by weakening the generalized Atanassov’s K α operators.We show that under certain conditions these functions provide a binary OWA operator.

The authors are partially supported by MTM2010-19938-C03-03.

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References

  1. Atanassov, K.: Intuitionistic fuzzy sets. In: VIIth ITKR Session, Deposited in the Central Science and Technology Library of the Bulgarian Academy of Sciences, Sofia, Bulgaria, pp. 1684–1697 (1983)

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Author information

Authors and Affiliations

  1. Universidad Pública de Navarra, 31006, Pamplona, Spain

    I. Lizasoain & C. Moreno

Authors
  1. I. Lizasoain
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  2. C. Moreno
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Editor information

Editors and Affiliations

  1. CITAB-UTAD University, Quinta dos Prados, 5000-911, Vila Real, Portugal

    Pedro Melo-Pinto , Pedro Couto  & Carlos Serôdio ,  & 

  2. Óbuda University, Bécsi út 96/B, H-1034, Budapest, Hungary

    János Fodor

  3. KERMIT, Research Unit Knowledge-based Systems, Universiteit Gent, Coupure links 653, 9000, Gent, Belgium

    Bernard De Baets

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© 2011 Springer-Verlag Berlin Heidelberg

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Lizasoain, I., Moreno, C. (2011). Generalized Attanasov’s Operators Defined on Lattice Intervals. In: Melo-Pinto, P., Couto, P., Serôdio, C., Fodor, J., De Baets, B. (eds) Eurofuse 2011. Advances in Intelligent and Soft Computing, vol 107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24001-0_6

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  • DOI: https://doi.org/10.1007/978-3-642-24001-0_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24000-3

  • Online ISBN: 978-3-642-24001-0

  • eBook Packages: EngineeringEngineering (R0)

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