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IEEE Transactions on Fuzzy Systems, 2022
This article presents a study on the development in the theory and application of the Z-numbers, since its inception in 2011. The review covers: a) formalization of Z-number based mathematical operators, b) role of Z-numbers in Computing With Words, decision-making and trust modeling, c) application of Znumbers in real-world problems like multisensor ...
Romi Banerjee +2 more
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This article presents a study on the development in the theory and application of the Z-numbers, since its inception in 2011. The review covers: a) formalization of Z-number based mathematical operators, b) role of Z-numbers in Computing With Words, decision-making and trust modeling, c) application of Znumbers in real-world problems like multisensor ...
Romi Banerjee +2 more
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On the Negation of discrete Z-numbers
Information Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qing Liu +3 more
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A new approach to Zadeh’s Z-numbers: Mixed-discrete Z-numbers
Information Fusion, 2020Abstract One of the main goals of computing with words is the accurate modeling of natural language. In this direction, Z-numbers were introduced by Zadeh in 2011 as a pair of fuzzy numbers, (A, B), where A is interpreted as a fuzzy restriction on the values of a variable, while B is interpreted as a measure of certainty or sureness of A.
Sebastia Massanet +2 more
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2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015
Z-number is an emerging paradigm that has been utilized in computing with words among others. The concept of a Z-number is intended to provide a basis for computation with numbers that deal with reliability and likelihood. Z-numbers are confluence between the two most prominent approaches to uncertainty, probability and possibility, which allow ...
Purvag Patel +2 more
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Z-number is an emerging paradigm that has been utilized in computing with words among others. The concept of a Z-number is intended to provide a basis for computation with numbers that deal with reliability and likelihood. Z-numbers are confluence between the two most prominent approaches to uncertainty, probability and possibility, which allow ...
Purvag Patel +2 more
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Information volume of Z-number
Information Sciences, 2022A discrete Z-number \(X = (A,B)\) describing an uncertain variable \(X\) is a pair of fuzzy numbers \(A\), \(B\) where \(A\) is a fuzzy description of possible values of the variable and \(B\) is a fuzzy probability measure of \(A\). Here, a transformation of discrete Z-numbers to a probability mass function is presented and an information volume of Z ...
Ben Xu, Yong Deng
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Information Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2020
In this chapter, first the Z-number is introduced then calculating operations are defined. Moreover several ranking methods are investigated to order the Z-numbers for using in other appropriate models. To points out one of the application, a regression method based on neural network technique is described in detail.
Tofigh Allahviranloo, Somayeh Ezadi
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In this chapter, first the Z-number is introduced then calculating operations are defined. Moreover several ranking methods are investigated to order the Z-numbers for using in other appropriate models. To points out one of the application, a regression method based on neural network technique is described in detail.
Tofigh Allahviranloo, Somayeh Ezadi
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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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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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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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