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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2019, Volume 29, Issue 2, Pages 197–210
DOI: https://doi.org/10.20537/vm190205 (Mi vuu676) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Comparison of triangular fuzzy numbers

V. I. Ukhobotova, I. S. Stabulitb, K. N. Kudryavtsevb

a Chelyabinsk State University, ul. Brat’ev Kashirinykh, 129, Chelyabinsk, 454001, Russia
b South Ural State University, pr. Lenina, 76, Chelyabinsk, 454080, Russia
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DOI: https://doi.org/10.20537/vm190205
Abstract: Difficulties in comparing fuzzy numbers occur in many applied problems. There are different approaches to dealing with the above difficulties. These approaches are determined by the specificity of the problems under consideration. The approach proposed in this article for comparing fuzzy numbers is as follows. First, a rule is constructed for comparing a real number with the $\alpha$-level set of a fuzzy number. Then, using the procedure of averaging over $\alpha$, a rule is constructed for comparing a real number with a fuzzy number. By means of the procedure for separating two fuzzy numbers with the help of a real number, a rule for comparing fuzzy numbers is introduced. Based on the developed approach, the rule for defuzzification of fuzzy numbers is proposed. As an example, triangular fuzzy numbers are considered.
Keywords: comparison of fuzzy numbers, defuzzification, triangular fuzzy numbers.
Received: 21.03.2019
Bibliographic databases:
Document Type: Article
UDC: 519.816
MSC: 03B52, 68T37
Language: Russian
Citation: V. I. Ukhobotov, I. S. Stabulit, K. N. Kudryavtsev, “Comparison of triangular fuzzy numbers”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:2 (2019), 197–210
Citation in format AMSBIB
\Bibitem{UkhStaKud19}
\by V.~I.~Ukhobotov, I.~S.~Stabulit, K.~N.~Kudryavtsev
\paper Comparison of triangular fuzzy numbers
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2019
\vol 29
\issue 2
\pages 197--210
\mathnet{http://mi.mathnet.ru/vuu676}
\crossref{https://doi.org/10.20537/vm190205}
\elib{https://elibrary.ru/item.asp?id=39136244}
Linking options:
  • https://www.mathnet.ru/eng/vuu676
  • https://www.mathnet.ru/eng/vuu/v29/i2/p197
    • This publication is cited in the following articles:
    1. Viktor Ukhobotov, Irina Stabulit, Konstantin Kudryavtsev, Communications in Computer and Information Science, 1090, Mathematical Optimization Theory and Operations Research, 2019, 590  crossref
    2. V. G. Chernov, “Decision–making in a conflict situation with fuzzy types of participants”, 50, no. 6, 2023, 534–542  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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    Full-text PDF :178
    References:23
     
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