Results 251 to 260 of about 5,479,766 (279)
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Information Sciences, 2011
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The arithmetic of continuous Z-numbers
Information Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rafik A. Aliev +2 more
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On Z-valuations using Zadeh's Z-numbers
International Journal of Intelligent Systems, 2012We first recall the concept of Z-numbers introduced by Zadeh. These objects consist of an ordered pair (A, B) of fuzzy numbers. We then use these Z-numbers to provide information about an uncertain variable V in the form of a Z-valuation, which expresses the knowledge that the probability that V is A is equal to B.
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The arithmetic of multidimensional Z-number
Journal of Intelligent & Fuzzy Systems, 2018The Z-number has become a new representation of evaluation information because of its superiority in describing reliability measure. Current studies focuses mainly on the unidimensional Z-number like Z = (about 25 min, usually). Studies on multidimensional cases have not been reported. However, because people often describe things from various aspects,
Kai-wen Shen +2 more
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The arithmetic of discrete Z-numbers
Information Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rafik A. Aliev +2 more
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Modeling and implementation of Z-number
Soft Computing, 2015Computing with words provides symbolic and semantic methodology to deal with imprecise information associated with natural languages. It encapsulates various fuzzy logic techniques developed in past decades and formalizes them. Z-number is an emerging paradigm that has been utilized in computing with words among others.
Purvag Patel +2 more
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Hukuhara difference of Z-numbers
Information Sciences, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rafik A. Aliev +2 more
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Applied Intelligence, 2017
Z-numbers, combined with “constraint” and “reliability”, has more power to express human knowledge. How to determine the ordering of Z-numbers and how to make a decision with Z-numbers are both meaningful and open issues. In this paper, a new notion of the total utility of Z-number is proposed to measure the total effects of a Z-number.
Bingyi Kang, Yong Deng 0001, Rehan Sadiq
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Z-numbers, combined with “constraint” and “reliability”, has more power to express human knowledge. How to determine the ordering of Z-numbers and how to make a decision with Z-numbers are both meaningful and open issues. In this paper, a new notion of the total utility of Z-number is proposed to measure the total effects of a Z-number.
Bingyi Kang, Yong Deng 0001, Rehan Sadiq
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A Note on the Maximum Number of Zeros of $$r(z) - \overline{z}$$ r ( z ) - z ¯
Computational Methods and Function Theory, 2015\textit{D. Khavinson} and \textit{G. Neumann} [Proc. Am. Math. Soc. 134, No. 4, 1077--1085 (2006; Zbl 1090.30008)] showed that if \(r\) is a rational function of degree \(d\) greater than or equal to 2, then \(r(z)-\overline{z}\) has at most \(5d-5\) zeros. This result solved a problem in gravitational lensing.
Luce, Robert +2 more
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Weyl numbers versus Z-Weyl numbers
Studia Mathematica, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carl, Bernd +2 more
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