A fuzzy approach to value and culture assessment and an application
International Journal of Approximate Reasoning
Short communication: Uncertainty measures for fuzzy relations and their applications
Applied Soft Computing
On information energy of the image fuzzy sets
Information Sciences: an International Journal
A fuzzy approach to the evaluation of image complexity
Fuzzy Sets and Systems
Parallel and multistage fuzzy inference based on families of α-level sets
Information Sciences: an International Journal
Cross-entropy measure of uncertain variables
Information Sciences: an International Journal
Histogram Thresholding using Beam Theory and Ambiguity Measures
Fundamenta Informaticae - New Frontiers in Scientific Discovery - Commemorating the Life and Work of Zdzislaw Pawlak
Uncertainties with Atanassov's intuitionistic fuzzy sets: Fuzziness and lack of knowledge
Information Sciences: an International Journal
An Intelligent Approach to Assess Tacit Knowledge Fitness in Networked Enterprises
International Journal of Technology Diffusion
Can fuzzy entropies be effective measures for evaluating the roughness of a rough set?
Information Sciences: an International Journal
Granular computing neural-fuzzy modelling: A neutrosophic approach
Applied Soft Computing
A threshold fuzzy entropy based feature selection for medical database classification
Computers in Biology and Medicine
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First, this paper reviews several well known measures of fuzziness for discrete fuzzy sets. Then new multiplicative and additive classes are defined. We show that each class satisfies five well-known axioms for fuzziness measures, and demonstrate that several existing measures are relatives of these classes. The multiplicative class is based on nonnegative, monotone increasing concave functions. The additive class requires only nonnegative concave functions. Some relationships between several existing and the new measures are established, and some new properties are derived. The relative merits and drawbacks of different measures for applications are discussed. A weighted fuzzy entropy which is flexible enough to incorporate subjectiveness in the measure of fuzziness is also introduced. Finally, we comment on the construction of measures that may assess all of the uncertainties associated with a physical system