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Journal ArticleDOI

A Note on Z-numbers

Lotfi A. Zadeh
- 01 Jul 2011 - 
- Vol. 181, Iss: 14, pp 2923-2932
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TLDR
The concept of a Z-number has a potential for many applications, especially in the realms of economics, decision analysis, risk assessment, prediction, anticipation and rule-based characterization of imprecise functions and relations.
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This article is published in Information Sciences.The article was published on 2011-07-01. It has received 865 citations till now.

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Citations
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Patent

Methods and Systems for Applications for Z-numbers

TL;DR: The concept of a Z-number relates to the issue of reliability of information as discussed by the authors, and it has many applications in the realms of economics, decision analysis, risk assessment, prediction, anticipation, rule-based characterization of imprecise functions and relations, and biomedicine.
Journal ArticleDOI

Multi-sensor data fusion based on the belief divergence measure of evidences and the belief entropy

TL;DR: A novel method for multi-sensor data fusion based on a new belief divergence measure of evidences and the belief entropy was proposed, which outperforms other related methods where the basic belief assignment of the true target is 89.73%.
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Decision making under uncertainty in energy systems: State of the art

TL;DR: A new standard classification of uncertainty modeling techniques for decision making process is proposed and the possibility of using the novel concept of Z-numbers is introduced for the first time.

A Method of Converting Z-number to Classical Fuzzy Number

TL;DR: A method of transforming Z-number to classical fuzzy number is proposed according to the Fuzzy Expectation of fuzzy set, and a simple example is used to illustrated the procedure.
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
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The concept of a linguistic variable and its application to approximate reasoning—II☆

TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
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Probability measures of Fuzzy events

TL;DR: In probability theory, an event, A, is a member of a a-field, CY, of subsets of a sample space ~2, where CY is any collection of disjoint events.
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Introduction to Fuzzy Arithmetic, Theory and Applications.

TL;DR: This book introduced many novel mathematical operations based on this concept of level of confidence and have presented many generalizations, and presented several operations and functions of fuzzy numbers, such as integer modulo operations, trigonometric functions, and hyperbolic functions.