Absurd? Yes. However, this false belief – that children are somehow naturally more able to use technology and are also somehow more Internet savvy – is a common one. Problems with Internet information and in more traditional forms of information are well documented. Professors of entering college undergraduates observe that students “are ill prepared to function in a technological and informati...

This article extends the Wilcoxon signed rank test for testing whether the median of a population is a specified constant by treating the observations as imprecise values. The test procedure is developed by using the concepts of “Credibility Theory” for studying the behavior of fuzzy phenomena. Numerical illustration of the proposed test is provided by representing the observations as trapezoid...

Recursive credibility estimation is discussed from the viewpoint of linear filtering theory. A conjunction of geometric mterpretation and the innovation approach leads to general algorithms not developed before. Moreover, covariance characterizations considered by other researchers drop our elegantly as a result of geometric considerations. Examples are presented of Kalman type filters valid fo...

Fuzziness plays an essential role in the real world. Fuzzy set theory has been developed very fast since it was introduced by Zadeh (1965) [1]. A fuzzy set was characterized with its membership function by Zadeh. The term fuzzy variable was fist introduced by Kaufmann (1975) [2], and then appeared in Zadeh (1978) [3] and Nahmias (1978) [4] as a fuzzy set of real numbers. In order to establish t...

Une crédibilité minimale de la banque centrale, avec une probabilité non nulle ne pas revenir sur son engagement, est condition nécessaire pour ancrer les anticipations d’inflation et garantir le retour l’inflation vers sa cible long terme. En revanche, l’absence complète crédibilité, certitude que centrale reviendra engagement (« discrétion optimale »), implique bifurcation dynamique des traje...

In this work we present a new approach on the study of dynamical systems. Combining the two ways of expressing the uncertainty, using probabilistic theory and credibility theory, we have investigated the generalized fractional hybrid equations. We have introduced the concepts of generalized fractional Wiener process, generalized fractional Liu process and the combination between them, generaliz...