Pseudo-analysis in soft computing

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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.

Original languageEnglish
Title of host publicationAspects of Soft Computing, Intelligent Robotics and Control
EditorsJ. Fodor, Janusz Kacprzyk
Pages3-24
Number of pages22
DOIs
Publication statusPublished - Oct 26 2009

Publication series

NameStudies in Computational Intelligence
Volume241
ISSN (Print)1860-949X

ASJC Scopus subject areas

  • Artificial Intelligence

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  • Cite this

    Pap, E. (2009). Pseudo-analysis in soft computing. In J. Fodor, & J. Kacprzyk (Eds.), Aspects of Soft Computing, Intelligent Robotics and Control (pp. 3-24). (Studies in Computational Intelligence; Vol. 241). https://doi.org/10.1007/978-3-642-03633-0_1