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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
openaire +1 more source
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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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
openaire +1 more source
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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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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An Insight Into The Z-number Approach To CWW
Fundamenta Informaticae, 2013The Z-number is a new fuzzy-theoretic concept, proposed by Zadeh in 2011. It extends the basic philosophy of Computing With Words (CWW) to include the perception of uncertainty of the information conveyed by a natural language statement. The Z-number thus, serves as a model of linguistic summarization of natural language statements, a technique to ...
Sankar K. Pal +3 more
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Fuzzy Delphi Method with Z-Numbers
2019Delphi method is one of the basic heuristic methods used in forecasting and decision making. It is based on several stages of experts’ evaluation with feedback. One of the variants is the fuzzy Delphi method, which assumes that expert’s opinion is expressed in fuzzy numbers.
Marcin Lawnik +2 more
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A New Vision of Zadeh’s Z-numbers
2016From their introduction Z-numbers have been deeply studied and many investigations have appeared trying to reduce the inherent complexity in their computation. In this line, this paper presents a new vision of Z-numbers based on discrete fuzzy numbers with support in a finite chain \(L_n\). In this new approach, a Z-number associated with a variable, X,
Sebastia Massanet +2 more
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