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Fundamentalnaya i Prikladnaya Matematika, 2003, Volume 9, Issue 1, Pages 201–230 (Mi fpm719)  

This article is cited in 22 scientific papers (total in 22 papers)

Fuzzy modal logics

A. M. Mironov

Program Systems Institute of RAS
References:
Abstract: In the paper we introduce formal calculi which are a generalization of propositional modal logics. These calculi are called fuzzy modal logics. We introduce the concept of a fuzzy Kripke model and consider a semantics of these calculi in the class of fuzzy Kripke models. The main result of the paper is the completeness theorem of a minimal fuzzy modal logic in the class of fuzzy Kripke models.
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 6, Pages 3461–3483
DOI: https://doi.org/10.1007/s10958-005-0281-1
Bibliographic databases:
UDC: 510.643+510.644+519.68
Language: Russian
Citation: A. M. Mironov, “Fuzzy modal logics”, Fundam. Prikl. Mat., 9:1 (2003), 201–230; J. Math. Sci., 128:6 (2005), 3461–3483
Citation in format AMSBIB
\Bibitem{Mir03}
\by A.~M.~Mironov
\paper Fuzzy modal logics
\jour Fundam. Prikl. Mat.
\yr 2003
\vol 9
\issue 1
\pages 201--230
\mathnet{http://mi.mathnet.ru/fpm719}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2072625}
\zmath{https://zbmath.org/?q=an:1072.03016}
\transl
\jour J. Math. Sci.
\yr 2005
\vol 128
\issue 6
\pages 3461--3483
\crossref{https://doi.org/10.1007/s10958-005-0281-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-22544485409}
Linking options:
  • https://www.mathnet.ru/eng/fpm719
  • https://www.mathnet.ru/eng/fpm/v9/i1/p201
  • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:633
    Full-text PDF :259
    References:56
    First page:2
     
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