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Eurofuse 2011 pp 125–135Cite as

Defining Aggregation Functions from Negations

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

Abstract

In this paper a method of defining aggregation functions from fuzzy negations is introduced.Any aggregation function obtained from a fuzzy negation by this method is proved to be a commutative semicopula and some properties are investigated. In particular, it is proved that by this method some well known examples of copulas and t-norms can be obtained. Moreover, any commutative semicopula constructed by this method can be always obtained from a negation N which is symmetric with respect to the diagonal. Then, those fuzzy negations N for which the corresponding semicopula is a copula are characterized. Also, several examples of negations N are given such that the corresponding semicopula is a t-norm.

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Author information

Authors and Affiliations

  1. Dept. of Math. and Comp. Sc., University of the Balearic Islands, Spain

    I. Aguiló, J. Suñer & J. Torrens

Authors
  1. I. Aguiló
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  2. J. Suñer
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  3. J. Torrens
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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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Aguiló, I., Suñer, J., Torrens, J. (2011). Defining Aggregation Functions from Negations. 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_13

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  • DOI: https://doi.org/10.1007/978-3-642-24001-0_13

  • 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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