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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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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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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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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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AIP Conference Proceedings, 2017
The concept of Z-number which was introduced by Zadeh in 2010 has captured attention by many due to its enormous applications in the area of Computing with Words (CWW). A Z-number is an ordered pair of fuzzy numbers, (A, R), where A essentially plays the role of fuzzy restriction which is a real-valued uncertain variable and R is a measure of ...
Daud Mohamad +2 more
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The concept of Z-number which was introduced by Zadeh in 2010 has captured attention by many due to its enormous applications in the area of Computing with Words (CWW). A Z-number is an ordered pair of fuzzy numbers, (A, R), where A essentially plays the role of fuzzy restriction which is a real-valued uncertain variable and R is a measure of ...
Daud Mohamad +2 more
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A Method of Measuring Uncertainty for Z-Number
IEEE Transactions on Fuzzy Systems, 2019Z-number is a new framework of fuzzy sets that combines with constraint and reliability. Managing the uncertainty of Z-number is an important issue in the fuzzy decision making of Z-number based. In this paper, we first develop a new uncertainty measure of fuzzy set considering the influence of fuzziness measure and the range (or cardinality) of the ...
Bingyi Kang +3 more
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2015
Real-world information is imperfect and is usually described in natural language (NL). Moreover, this information is often partially reliable and a degree of reliability is also expressed in NL. In view of this, the concept of a Z-number is a more adequate concept for the description of real-world information.
Aliev, Rafik Aziz +3 more
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Real-world information is imperfect and is usually described in natural language (NL). Moreover, this information is often partially reliable and a degree of reliability is also expressed in NL. In view of this, the concept of a Z-number is a more adequate concept for the description of real-world information.
Aliev, Rafik Aziz +3 more
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Functions defined on a set of Z-numbers
Information Sciences, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rafik A. Aliev +2 more
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