...George J. Klir Presents an overview of currently recognized theories of imprecise probabilities and their possible extensions. It is shown how the theories are ordered by their levels of generality. A summary of current results regarding measures of uncertainty and uncertainty‐based information...

...) (see equation 23) (see equation 24) (see equation 25) (see equation 26) (see equation 27) (see equation 28) (see equation 29) © MCB UP Limited 2000 Cybernetics Probability The likelihood ratio test...

...L. Pardo; D. Morales; I.J. Taneja Fisher’s amount of information is the most parametric measure in the literature of statistics. However, not for every family of probability density functions do the well‐known regularity assumptions hold. To avoid this problem, several parametric measures have been...

...Esteban; J.A. Pardo; M.C. Pardo; M.L. Vicente Several coefficients, called divergences, have been suggested in the statistical literature to reflect the fact that some probability distributions are “closer together” than others and consequently that it may be easier to distinguish between...

...Robert Vallée Harmonic analysis, probability and statistics were among the fields Wiener was most interested in. In his generalized harmonic analysis he introduced, for a signal with finite square modulus mean value, its spectral distribution which is linked to what can be called the integral...

...C. Musès Looks at the interrelationship between resonance, probability and feedback and describes how we can control and direct them – the very essence of cybernetics – by using musical science to explain their causes and effects. Feedback and Musical Resonance C. Musès Mathematics & Morphology...

...Guy Jumarie By combining the theory of relative information and the information of deterministic functions, one can obtain a model of possibility‐probability transformation. Relative information defines possibility in terms of syntax‐semantics coupling of natural languages, while entropy...

... of Cybernetics P. R. Masani 5 Kybernetes 23,4 2 The Scientific Methodology in the Light of Cybernetics P.R. Masani Cognition, Conflict, Cybernetics, Methodology, Perception, Probability Presents the scientific methodology from the enlarged cybernetical perspective that recognizes the anisotropy of time...

...Guy Jumarie In the framework of his theory of relative information, derives formulae to convert probability into possibility and conversely, and shows how they can be utilized to reconsider many questions related to fuzzy sets and approximate reasoning on a meaningful information theoretic...

...Z. An; D.A. Bell; J.G. Hughes Presents an investigation of some aspects of the axiomization of conditional independence of probability. Contributes to the understanding of Pearl's completeness conjecture and identifies a direction for revision which could remove some of the difficulties of Pearl's...

...J.A. Pardo; I.J. Taneja The decision rule which minimizes the probability of error, in the discrimination problem, is the Bayes decision rule which assigns x to the class with the highest a posteriori probability. This rule leads to a partial probability of error which is given by Pe(x...

... probability and possibility distributions. © MCB UP Limited 1992 Energy Management Fuzzy Sets Probability Uncertainty From Entropy of Fuzzy Sets to Fuzzy Set of Entropies: A Critical Review and New Results Guy Jumarie Université du Québec à Montréal, Canada Entropy of Fuzzy Sets 33...

... problems in this adjustment exercise and this communication examines some of them. © MCB UP Limited 1992 Probability Production Resources Kybernetes 21,1 46 Communications Resource-adjustment Problem in the Construction of Beer's Predictive Model Introduction An attempt has been made...

... the entropy of deterministic functions. © MCB UP Limited 1991 Fuzzy Sets Information Theory Probability Kybernetes 20,4 12 Received in Final Form: June 1990 Further Results on the Application of Entropies of Deterministic Functions to Information of Fuzzy Sets and Related Topics Guy Jumarie...

...Guy Jumarie A definition of entropy of maps which does not involve probability, but nevertheless is fully consistent with Shannon entropy can be derived using the informational equation H(X,Y) = H(X) + H(Y,X). This approach has been extended in order to obtain the “Shannon entropy...