Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2023, Issue 3, Pages 41–63
DOI: https://doi.org/10.26456/vtpmk694 (Mi vtpmk694) 		 
System Analysis, Control and Data Processing

Mathematical models of a fuzzy random variable: a comparative study

I. S. Soldatenkoa, I. B. Breslerb, S. A. Rogonova, A. V. Yazenina

a Tver State University, Tver
b JSC «Research Institute of Information Technologies»
Full-text PDF (662 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26456/vtpmk694
Abstract: A comparative study of approaches to the definition of a fuzzy random variable and its numerical characteristics is carried out. Examples of the fulfillment and non-fulfillment of properties characteristic of ordinary random variables with different definitions of fuzzy random variables are given. Methods of identification of the expected value of fuzzy random variables are proposed.
Keywords: fuzzy variable, fuzzy random variable, Quakernaak model, Puri and Ralescu model, Nahmias model, Chachi/Liu model.
Received: 20.09.2023
Revised: 29.10.2023
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: I. S. Soldatenko, I. B. Bresler, S. A. Rogonov, A. V. Yazenin, “Mathematical models of a fuzzy random variable: a comparative study”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2023, no. 3, 41–63
Citation in format AMSBIB
\Bibitem{SolBreRog23}
\by I.~S.~Soldatenko, I.~B.~Bresler, S.~A.~Rogonov, A.~V.~Yazenin
\paper Mathematical models of a fuzzy random variable: a comparative study
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2023
\issue 3
\pages 41--63
\mathnet{http://mi.mathnet.ru/vtpmk694}
\crossref{https://doi.org/10.26456/vtpmk694}
\elib{https://elibrary.ru/item.asp?id=54770337}
Linking options:
  • https://www.mathnet.ru/eng/vtpmk694
  • https://www.mathnet.ru/eng/vtpmk/y2023/i3/p41
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
    Statistics & downloads:
    Abstract page:83
    Full-text PDF :34
    References:41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024