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On e-Vertical Generated Implications

  • Conference paper
Eurofuse 2011

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

Abstract

Recently, a new construction method of a fuzzy implication from two given ones, called e-generation method, has been introduced. This method allows to control, up to a certain level, the increasingness on the second variable of the fuzzy implication through an adequate scaling on that variable of the two given implications. In this paper, the main goal is to reproduce the same idea but now on the first variable of the fuzzy implication. The new implications, called e-vertical generated implications, are studied in detail focusing on the preservation of the most common properties of fuzzy implications from the initial ones to the constructed implication.

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Authors and Affiliations

  1. Dept. of Math. and Comp. Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain

    S. Massanet & J. Torrens

Authors
  1. S. Massanet
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  2. 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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© 2011 Springer-Verlag Berlin Heidelberg

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Massanet, S., Torrens, J. (2011). On e-Vertical Generated Implications. 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_16

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  • DOI: https://doi.org/10.1007/978-3-642-24001-0_16

  • 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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