The three semantics of fuzzy sets
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations
SIAM Journal on Scientific Computing
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A flexible bipolar querying approach with imprecise data and guaranteed results
Fuzzy Sets and Systems
Guaranteed robust nonlinear estimation with application to robot localization
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Joint Propagation and Exploitation of Probabilistic and Possibilistic Information in Risk Assessment
IEEE Transactions on Fuzzy Systems
Gradual Numbers and Their Application to Fuzzy Interval Analysis
IEEE Transactions on Fuzzy Systems
Elicitation, assessment, and pooling of expert judgments using possibility theory
IEEE Transactions on Fuzzy Systems
Automatica (Journal of IFAC)
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When few data or information are available, the validity of studies performing uncertainty analysis or robust design optimisation (i.e., parameter optimisation under uncertainty) with a probabilistic approach is questionable. This is particularly true in some agronomical fields, where parameter and variable uncertainties are often quantified by a handful of measurements or by expert opinions. In this paper, we propose a simple alternative approach based on interval analysis, which avoids the pitfalls of a classical probabilistic approach. We propose simple methods to achieve uncertainty propagation, parameter optimisation and sensitivity analysis in cases where the model satisfies some monotonic properties. As a real-world case study, we interest ourselves to the application developed in our laboratory that has motivated the present work, that is the design of sustainable food packaging preserving fresh fruits and vegetables as long as possible.