A Note on Z-numbers

By Lotfi A. Zadeh. Information Sciences, 2011

1,162 citations recorded by the source corpus.

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Multi-sensor data fusion based on the belief divergence measure of evidences and the belief entropy (2019, background): “To address this issue, a number of theories have been presented on multi-sensor data fusion, including the rough sets theory [21,22], fuzzy sets theory [23 – 30], evidence theory [31 – 35], Z numbers [36,37], D numbers theory [38 – 42], evidential reasoning [43 – 45], and so on [46 – 49].”
A New Methodology of Multicriteria Decision-Making in Supplier Selection Based on -Numbers (2016, background): “A new concept,Z-numbers, is proposed by Zadeh tomodel uncertain information [37].”
A Method of Converting Z-number to Classical Fuzzy Number (2012, background): “Definition 5 Let a fuzzy set A be defined on a universe X may be given as:A = {⟨x, μA (x)⟩ |x ∈ X } where μA : X → [0, 1] is the membership function A.”
ZBWM: The Z-number extension of Best Worst Method and its application for supplier development (2018, methodology): “Z-numbers has been proposed by Zadeh (2011) as a generalized version of the theory of uncertainty (Zadeh, 2006).”
Decision making under uncertainty in energy systems: state of the art (2013, background): “The possibility of using Z-numbers for uncertainty modeling of load values was introduced for the first time.”