Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1966, Volume 2, Issue 1, Pages 37–44 (Mi ppi1943)  
This article is cited in 2 scientific papers (total in 2 papers)

Shadows of Fuzzy Sets

L. A. Zadeh
Full-text PDF (1408 kB) Citations (2)
Abstract: The shadow of a fuzzy set is defined as the result of projecting it onto a hyperplane. It is shown that under such projections the properties of convexity and concavity are invariant and the degree of separability of two fuzzy sets is not increased. The notion of a bound of a fuzzy set is introduced, which is useful when a set has to be estimated from the knowledge of its shadows.
Received: 25.08.1965
Bibliographic databases:
UDC: 621.391.192.5
Language: Russian
Citation: L. A. Zadeh, “Shadows of Fuzzy Sets”, Probl. Peredachi Inf., 2:1 (1966), 37–44; Problems Inform. Transmission, 2:1 (1966), 29–34
Citation in format AMSBIB
\Bibitem{Zad66}
\by L.~A.~Zadeh
\paper Shadows of Fuzzy Sets
\jour Probl. Peredachi Inf.
\yr 1966
\vol 2
\issue 1
\pages 37--44
\mathnet{http://mi.mathnet.ru/ppi1943}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=213965}
\zmath{https://zbmath.org/?q=an:0263.02028}
\transl
\jour Problems Inform. Transmission
\yr 1966
\vol 2
\issue 1
\pages 29--34
Linking options:
  • https://www.mathnet.ru/eng/ppi1943
  • https://www.mathnet.ru/eng/ppi/v2/i1/p37
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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