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Processing of Qualitative Data

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Proceedings of the First International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’16)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 450))

Abstract

To overcome some problems with deep understanding of fuzzy values, certain learning finite automaton was put into a fuzzy environment. Previously such a device has been studied in the probabilistic environment, where the classic technique of standard Markov chains was applicable. The new study became possible due to several previous results by the present author, namely the axiomatic of fuzzy evidences accumulation and the theory of generalized Markov chains. The mathematical results, obtained in the paper, prove that the learning automaton has the property of asymptotic optimality. This property is proposed to be used for measuring membership. The obtained results might lead to a fuzzy measurement procedure resembling statistics developed in probability area.

This work was partially supported by the Russian Fund for Basic Research (RFBR), Grant # 12-07-00209а, and by the Presidium of Russian Academy of Science, Program \( \Pi 15 \) and Program \( 1.5\Pi \).

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Authors and Affiliations

  1. Institute for Information Transmission Problems RAS, Bolshoi Karetny Per., 19, 101447, Moscow, Russia

    Vadim L. Stefanuk

  2. Peoples’ Friendship University of Russia, Moscow, Russian Federation

    Vadim L. Stefanuk

Authors
  1. Vadim L. Stefanuk
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Correspondence to Vadim L. Stefanuk .

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Editors and Affiliations

  1. Sci N/w for Innova and Research Exc, Machine Intelligence Research Labs, Auburn, Washington, USA

    Ajith Abraham

  2. Rostov State Transport University, Rostov-on-Don, Russia

    Sergey Kovalev

  3. Bauman Moscow State Technical University, Moscow, Russia

    Valery Tarassov

  4. Institute of Mathematics, VŠB-Technical University of Ostrava, Ostrava, Czech Republic

    Václav Snášel

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Stefanuk, V.L. (2016). Processing of Qualitative Data. In: Abraham, A., Kovalev, S., Tarassov, V., Snášel, V. (eds) Proceedings of the First International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’16). Advances in Intelligent Systems and Computing, vol 450. Springer, Cham. https://doi.org/10.1007/978-3-319-33609-1_34

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  • DOI: https://doi.org/10.1007/978-3-319-33609-1_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33608-4

  • Online ISBN: 978-3-319-33609-1

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