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Proceedings of the Institute for System Programming of the RAS, 2016, Volume 28, Issue 3, Pages 7–20
DOI: https://doi.org/10.15514/ISPRAS-2016-28(3)-1
(Mi tisp34)
 

This article is cited in 9 scientific papers (total in 9 papers)

The method of converting an expert opinion to Z-number

E. A. Glukhoded, S. I. Smetanin

National Research University Higher School of Economics
References:
Abstract: The concept of Z-numbers introduced by Zade in 2011 is discussed topically nowadays due to it aptitude to deal with nonlinearities and uncertainties whose are common in real life. It was a large step of representing fuzzy logic, however that numbers created much larger problems of how to calculate them or aggregate multiple numbers of that type. Z-numbers have a significant potential in the describing of the uncertainty of the human knowledge because both the expert assessment and the Z-number consists of restraint and reliability of the measured value. In this paper, a method of converting an expert opinion to Z-number is proposed according to set of specific questions. In addition, the approach to Z-numbers aggregation is introduced. Finally, submitted methods are demonstrated on a real example. The topicality of the research is developing a new algorithm and software (based on that development) which could help people make decision in a messy uncertainty with many parameters and factors that are also defined imprecisely. In this work, we present the research that is aimed to find the most efficient methods to operate them (aggregate, add, divide). Firstly, it is important to identify all existing methods of aggregating Z-numbers. Secondly, it is needed to invent new methods of how work with them. The most interesting techniques should be detailed and summarized. There is also a program that is developed to model the real-word task of decision-making.
Keywords: Z-number, fuzzy measure, aggregation, expert opinion, fuzzy number.
Bibliographic databases:
Document Type: Article
Language: English
Citation: E. A. Glukhoded, S. I. Smetanin, “The method of converting an expert opinion to Z-number”, Proceedings of ISP RAS, 28:3 (2016), 7–20
Citation in format AMSBIB
\Bibitem{GluSme16}
\by E.~A.~Glukhoded, S.~I.~Smetanin
\paper The method of converting an expert opinion to Z-number
\jour Proceedings of ISP RAS
\yr 2016
\vol 28
\issue 3
\pages 7--20
\mathnet{http://mi.mathnet.ru/tisp34}
\crossref{https://doi.org/10.15514/ISPRAS-2016-28(3)-1}
\elib{https://elibrary.ru/item.asp?id=26605243}
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  • https://www.mathnet.ru/eng/tisp/v28/i3/p7
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Proceedings of the Institute for System Programming of the RAS
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