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Pseudo-Analysis in Soft Computing

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Aspects of Soft Computing, Intelligent Robotics and Control

Part of the book series: Studies in Computational Intelligence ((SCI,volume 241))

Abstract

There are presented the basic operations on real intervals: pseudo-addition and pseudo multiplication which induce the semiring structure. Application of special pseudo-operations on the unit interval: t-norms and t-conorms, in the theory of fuzzy sets and fuzzy logics are given. Pseudo-convolution as a generalization of the classical convolution is given, with many important special cases. Further applications of pseudo-additive measures, pseudo-integrals and pseudo-convolutions are given in the theory of fuzzy numbers, information theory, system theory and control theory, and probabilistic metric spaces.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, 21 000 Novi Sad, Trg Dositeja Obradovića 4, Serbia

    Endre Pap

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  1. Endre Pap
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Editors and Affiliations

  1. Institute of Intelligent Engineering Systems, John von Neumann Faculty of Informatics Budapest Tech, Bécsi út 96/b, H-1034, Budapest, Hungary

    János Fodor

  2. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

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Pap, E. (2009). Pseudo-Analysis in Soft Computing. In: Fodor, J., Kacprzyk, J. (eds) Aspects of Soft Computing, Intelligent Robotics and Control. Studies in Computational Intelligence, vol 241. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03633-0_1

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  • DOI: https://doi.org/10.1007/978-3-642-03633-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03632-3

  • Online ISBN: 978-3-642-03633-0

  • eBook Packages: EngineeringEngineering (R0)

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