Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 3, Pages 76–93 (Mi vngu51)  
This article is cited in 2 scientific papers (total in 2 papers)

Fuzzy Algebraic Systems

D. E. Palchunova, G. E. Yakhyaevab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: In the paper the problem of extrapolation of partial information on fuzzy truth values of first order formulas on an algebraic system is investigated. A semantic approach to fuzzy logic is presented. This approach is based on construction of fuzzy models and generalized fuzzy models with the help of fuzzyfication of Boolean-valued models.
The operation of product of Boolean-valued models is introduced. Properties of product of Boolean-valued models with a finite Boolean algebra are studied.
Generalized fuzzy models generated by interval valuations are investigated. It is proved that if a generalized fuzzy model is generated by an interval valuation of some set of sentences then the truth value of each sentence on this generalized fuzzy model is an interval.
Keywords: fuzzy logics, Fuzzy algebraic system, fuzzy model, Boolean-valued model, fuzzification of Boolean-valued model, generalized fuzzy model, interval valuation.
Received: 19.12.2009
Document Type: Article
UDC: 004.82+510.64
Language: Russian
Citation: D. E. Palchunov, G. E. Yakhyaeva, “Fuzzy Algebraic Systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010), 76–93
Citation in format AMSBIB
\Bibitem{PalYak10}
\by D.~E.~Palchunov, G.~E.~Yakhyaeva
\paper Fuzzy Algebraic Systems
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 3
\pages 76--93
\mathnet{http://mi.mathnet.ru/vngu51}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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    References:55
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