An engineering analysis requires a realistic quantification of all input information. The amount and quality of the available information dictates the uncertainty model and its associated quantification concept. For inconsistent information, a distinction between probabilistic and non-probabilistic characteristics is beneficial. In this distinction, uncertainty refers to probabilistic character...

A method of fuzzy likelihood-ratio hypothesis testing is applied to binary signal integration. Imprecise parameters of the distribution under each hypothesis are modeled as fuzzy numbers. The false alarm rate and detection rate are therefore also imprecise. The effects of parameter imprecision on integration performance are examined using an example; the method is applied to envelope detection ...

This paper describes the use of a set inversion algorithm to solve the problem of mobile robot localization. The method is based on the formalism of interval analysis. In this formalism, an imprecise number is represented by an interval which contains it in a guaranteed way. This enables to naturally manage the imprecision linked to the mobile robot configuration. Indeed, we show that imprecisi...

In this paper we present a counter-example guided abstraction and approximation refinement (CEGAAR) technique for {\em partial predicate abstraction}, which combines predicate abstraction and fixpoint approximations for model checking infinite-state systems. The proposed approach incrementally considers growing sets of predicates for abstraction refinement. The novelty of the approach stems fro...

In spatial reasoning, relationships between spatial entities play a major role. In image interpretation, computer vision and structural recognition, the management of imperfect information and of imprecision constitutes a key point. This calls for the framework of fuzzy sets, which exhibits nice features to represent spatial imprecision at different levels, imprecision in knowledge and knowledg...

Abstract Impulsivity, in the sense of extent rewards are devalued as time until their realization increases, is linked to various negative outcomes humans, yet understanding cognitive mechanisms underlying it limited. Variation imprecision interval timing a possible contributor variation impulsivity. We use numerical model generate predictions concerning effect on distinguish between fixed (the...